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Describe Mr. Summers, based on his responsibilities and the way that others react to him.

The narrator informs us that other people feel sorry for Mr. Summers because "he had no children and his wife was a scold." They probably also feel sorry for him because he has to perform the lottery. When the lottery begins, Mr. Summers asks for help, and two men hesitate. They acknowledge that they "have to" endure the lottery and participate, but they want to stay as far from it as possible. As a result, they keep their distance from Mr. Summers as well. He is, functionally, the messenger of death. Mr. Summers is therefore associated with death. And for those who silently or audibly question the validity of the lottery, he is associated with senseless killing. As primitive and barbaric as the lottery is, Mr. Summers carries out his duties professionally. This really doesn't help the townspeople relate or respond to him better. Mr. Summers is grave about the whole ritual but he goes through with it without question. In this respect, he is as mindlessly traditi...

In the end of the novel, the image of the mockingbird is presented again. As Scout understands why Mr. Tate and Atticus decided that Bob Ewell fell...

Atticus and Mr. Tate know that Boo is an innocent being.  He is different from everyone else.  They want to protect him from a murder trial.  They mutually decide to conclude that Bob Ewell fell on his own knife.  This is given as the cause of death by Mr. Tate. Scout listens to them discuss the matter.  Atticus turns to his daughter and tries to make her understand.  Atticus tells her father that she does understand.  Scout also tells her father that she agrees with Mr. Tate.  Atticus is puzzled.  He does not think his daughter could possibly understand a matter so complex.  Scout expresses her feelings on the matter to her father: "Well, it'd be sort of like shootin' a mockingbird, wouldn't it?" (To Kill a Mockingbird, Chapter 30) Scout knows that making Boo face trial would be like killing an innocent mockingbird.  She sees the innocence in Boo.  He saved her life and Jem's.

In Suite Francaise, Irène Némirovsky describes Paris as two-tiered, divided between the wealthy and the working class. How does she describe...

In Suite Francaise , Madame Pericand represents the wealthier tier of Parisians. As the Germans approach Paris, she is prepared and resigned to her fate. "How they do get carried away" (page 8), she thinks of her working-class servants. Madame Pericand is briskly efficient as she considers that she has time between her children's bath time and dinner to listen to them recite their school lessons. Monsieur Pericand calmly plans for his wife and children to leave in two cars with their furniture and other belongings, and Madame Pericand "refused to bow beneath the burden" (page 14). She sets her mind to pack her five children, her father-in-law, the servants, and the silver into the car. They seem to have control over their fate at first. Eventually, as food runs out, they hoard what they have and refuse to share it. The Michauds, working-class employees of a bank, have far less control over their lives and their evacuation from Paris. As the city is closing down,...

`int e^(-3x)sin5x dx` Find the indefinite integral

We shall use partial integration: `int u dv=uv-int v du`   Therefore, we have `int e^(-3x)sin5xdx=|[u=e^(-3x),dv=sin5xdx],[du=-3e^(-3x)dx,v=-1/5cos5x]|=` `-1/5e^(-3x)cos5x-3/5int e^(-3x)cos5xdx=|[u=e^(-3x),dv=cos5xdx],[du=-3e^(-3x)dx,v=1/5sin5x]|=`  `-1/5e^(-3x)cos5x-3/25e^(-3x)sin5x-9/25inte^(-3x)sin5xdx`                                                                                   We can see that we have the same integral as the one we've started with. In other words we have the following equation `int e^(-3x)sin5xdx=-1/5e^(-3x)cos5x-3/25e^(-3x)sin5x` -`9/25inte^(-3x)sin5xdx` Let us add `9/25int e^(-3x)sin5xdx` to the whole equation. `34/25int e^(-3x)sin5xdx=-1/5e^(-3x)cos5x-3/25e^(-3x)sin5x`   Now we only need to multiply the whole equation by `25/34` to obtain the solution to our starting problem. `int e^(-3x)sin5xdx=-5/34e^(-3x)cos5x-3/34e^(-3x)sin5x+c,` `c in RR`                                                                             

What are some reasons to have sympathy towards Shylock in The Merchant of Venice?

There are a number of reasons to sympathize with Shylock. For one, he is a Jewish man in the Catholic Venice. In a sense, he is a stranger in his own country. In the play’s conclusion, the Christian Antonio is referred to as a citizen, while Shylock is considered an alien. Shylock does not have the same rights as Christians do. Even though Shylock’s daughter Jessica marries a Christian, Launcelot Gobbo “jokes” that she will still be damned because her father is a Jew. Jessica’s elopement with the Christian Lorenzo is another reason to pity Shylock. He is distraught that she has run off, especially with a man who is not of her faith. While the Christians consider her to be condemned for being Jewish, Shylock says that “she is damned” for marrying a Christian against his will. On top of that, Jessica stole some of Shylock's most prized positions. He values money above almost everything else, and Jessica spends it prodigally. Shylock is especially distressed to hear Jessica traded a r...

If a firm faces the marginal cost schedule MC = 180 + 0.3 q^2 and the marginal revenue schedule is MR = 540 – 0.6 q^2 and total fixed cost is Rs....

First, we need to figure out what the profit-maximizing quantity sold would be, given these demand and supply schedules. For that, set marginal revenue equal to marginal cost: MC = 180 + 0.3 q^2 = MR = 540 – 0.6 q^2 0.9 q^2 = 720 q^2 = 800 q = 20 sqrt(2) = 28.28 Now we need to figure out what the total revenue and total cost would be. That means we need to integrate both of these marginal functions, and then find the appropriate initial condition to set the constants. TR = int MR dq = int 540 - 0.6 q^2 dq = 540 q - 0.2 q^3 + C What is the constant? Well, if we sell zero things, we should get zero revenue. So C = 0. TR = 540 q - 0.2 q^3 TC = int MC dq = int 180 + 0.3 q^2 dq = 180q + 0.1 q^3 + D If we sell zero things, is our cost zero? No. We still pay our fixed cost. We're told that our fixed cost is in fact Rs 65. So D = 65. TC = 180 q + 0.1 q^3 + 65 Now all we have to do is subtract these two to get profit, and then substitute in the profit-maximizing quantity we found earlier: T...

According to one model of bird flight, the power consumed by a pigeon flying at velocity `v` (in m/s) is `P(v)=17v^-1 +10^-3*v^3` . Find the...

The function is obviously defined only for `v gt 0` and is continuously differentiable on this interval. When `v` approaches zero the function tends to `+oo,` when v tends to `+oo,` the function also tends to `+oo.` Thus it must have at least one local (and global) minimum and it is reached at the point(s) where `P'(x) = 0.`  Let's solve this equation: `P'(x) = -17 v^-2 + 3*10^-3*v^2 = 0.` This is equivalent to  `17 v^-2 = 3*10^-3*v^2,` or  `v^4 = 17/3*10^3.` The only solution is  `v = root(4)(17/3*10^3) approx`   8.7 (m/s). This is the answer.

What are the articulations of themes, technical devices, and structure in the poem "Malade" by David Herbet Lawrence?

The French word "malade" means sickness or malady, and the poem describes what it feels like to be sick and then uses contrast, in the final stanza, to show what it feels like to be well. The theme of the poem is the misery of illness contrasted with the joy of health. The poet universalizes the malady: The first-person narrator doesn't tell us what illness he or she is suffering from, meaning we can apply the feelings described to any malady, be it mental or physical. The poem relies heavily on imagery and  metaphor to convey what it feels like to be ill and well. The main feeling conveyed in stanza one is emptiness, as the narrator both observes and projects his own feelings on to the objects in the room; he is sick, therefore the grapes by his bed seem to him to be "sick." Lawrence shows us rather than tells us of his narrator's boredom: we experience the sick person's bored state as he watches the breeze make the tassel of the blind tap against th...

Why did the Simon Commission come to India?

The Simon Commission came to India in 1927 to generate a report on how well the 1919 Government of India Act was working. The Government of India Act established the new Indian constitution and Great Britain appointed British officials to the Simon Commission in order to oversee the effectiveness of the constitution. Sir John Simon and Clement Atlee shared joint chairmanship of the commission. Indians boycotted the Simon Commission due the exclusion of Indian representatives and it was also met with harsh criticism from the Indian National Congress and other involved Indian political parties.  The Simon Commission report is still regarded in high esteem by British Officials but its findings were ultimately offset by the declaration of October 1929. The October 1929 declaration's goal was for Indians to pursue dominion status whereas the Simon Commission proposed provincial autonomy without parliamentary responsibility.   

In the poem "Annabel Lee," according to the narrator, why was his love taken away from him?

The narrator's lover in the famous poem by Edgar Allan Poe, "Annabel Lee," is the title character. Over the course of the poem, the narrator relates that Annabel Lee was chilled in line 14, which eventually killed her. He says, "the wind came out of a cloud by night, / chilling and killing my Annabel Lee" (25-26). As a result, her cold body was then taken away to be placed in a tomb by her family in lines 27-30. The Merriam-Webster dictionary defines "chill" as "a cold feeling" and also as "an illness that makes you feel cold." In this context, the word "chill" is probably meant to be taken in both ways. The wind made Annabel Lee cold, which made her weak enough to catch an illness that killed her and thereby left her a corpse without the warmth of life. Alternatively, the cold wind might simply have made her so cold she died. The narrator explicitly blames this unexpected death upon the angels in lines 11-12 and 21-23. (T...

Why is Romeo so sad?

Romeo is frequently sad because he is a hopeless romantic. He is not hopeless in the sense that he is without hope, however, for he does, in fact, hope for the best in his tragic situation. Romeo is hopeless because involves himself in a hopeless situation. Since the Montagues and Capulets are families with a blood feud, his marriage to Juliet would likely never be accepted. Both Romeo and Juliet realize this unfortunate fact, and though they try, Shakespeare shows that they cannot escape fate. Perhaps Romeo is always sad because deep down, he realizes this fate, but chooses to pursue love instead of preserving his personal safety. With the knowledge that his marriage to Juliet would never be accepted, it makes sense Romeo would be sad since he reveals that his love for Juliet is more important to him than anything else.

Why does Lieutenant Kotler behave as he does towards Pavel in Chapter 7 of John Boyne's The Boy in the Striped Pajamas?

Lieutenant Kotler is thoroughly indoctrinated in the ideology of Nazism; therefore, he speaks in an abusive manner to Pavel, who is one of the Jews contained at the concentration camp in Auschwitz. When Bruno decides that his friends from Berlin will not be coming to visit him, he feels that he will just have to entertain himself; so, he decides he can have some fun by swinging in a tire. Seeing Lt. Kotler who is talking with his sister Gretel, Bruno approaches him in order to ask the young officer if there are any spare tires around the place that he may have. After joking about another soldier who is wearing a spare tire, Kotler notices Pavel heading toward the house, and calls out to him, using a pejorative term for "Jew" when he does, "Hey you! ...Come over here, you ----" Speaking to Pavel insolently when the much older man nears him, Kotler orders Pavel to take Bruno to the storage shed behind the main house and let the boy pick out an old tire and carry it ba...

How is 'A Theory of justice' relevant to Indian society?

Rawls' A Theory of Justice is relevant to just about everyone, and perhaps India most of all, because India contains so many of the world's poorest and most disadvantaged people. The core message of A Theory of Justice is that we should conceive of justice as if we were reasoning from behind a "veil of ignorance", where we did not know who we were or what part of society we would end up in. We might end up rich or poor; we might end up men or women; we might end up White or Black, Brahmin or Dalit. So we should try to construct a society that is minmax , that is, where the minimum standard of life is maximized. That way, even if we end up being put in the most disadvantaged group, we will still have a good life. Of course, in practice we do know what status we have. We are not behind a "veil of ignorance". But this central idea of trying to maximize the welfare of those at the bottom, those who are most disadvantaged, is a very compelling one. And the most d...

What is the symbolism and conclusion of "The Drunken Boat"?

"The Drunken Boat," by Arthur Rimbaud, is known for its heavy use of symbolism. In fact, the work continues to be mysterious after more than a century of academic study. Many readers have suggested that the poem uses metaphysical as well as esoteric symbolism. Perspective and Symbolism "The Drunken Boat" is told through a first-person singular perspective. The speaker is a lone sailor who describes the colorful imagery around him as well as his boredom and loneliness, which makes for an interesting contrast. The speaker uses the drunken boat as a symbol to represent himself and the isolation he feels from humanity. Like him, the ship has become a "martyr" and lost its connection to human morality and guidance. In addition to the obvious symbolism of the boat, there are many subtle layers of symbolism as well. The speaker laments, "O let my keel burst! Let me find the sea!" This is likely a more obscure use of symbolism since the speaker has previ...

In the novel Lonesome Dove by Larry McMurtry, what are some examples of why Lorena dissociates herself and is traumatized?

This is an interesting question because many of the reasons Lorena Wood begins to disassociate herself from people and activities actually traumatize her as well.  Generally, Lorena has to disassociate herself because she is an attractive blonde prostitute who many men are in love with throughout the book.  Among the love-struck men are Dee Boot, Dish Bogget, Jake Spoon, Augustus McCrae and even Xavier Wanz (who ends up burning down the Dry Bean because of this "love").  Jake Spoon admits Lorena's dissociation in the following quote: She had a beautiful face, a beautiful body, but also a distance in her such as he had never met in a woman.  As the story continues, Lorena has to further disassociate herself because of traumatic events: kidnapping and gang rape.  These two traumatizing happenings require disassociation in order to survive.  Blue Duck is the direct reason for both happenings in that he is the kidnapper as well as one of the participants in the gang rape afte...

How do expectations play a role in the lives of the Socs and Greasers in The Outsiders?

The Greasers can't be seen as individuals, only as members of the Greasers. For example, when they walk down the street, "Greasers can't walk alone too much or they'll get jumped" (page 3). Members of the rival gang, Socs, only see Greasers as rivals who deserve to be jumped. Boys on the East Side become Greasers, while kids on the richer West-Side are "Socs," or Socials. People expect the Greasers to act in a way that Ponyboy describes as "hoods." As he says, "we steal things and drive old souped-up cars and hold up gas stations and have a gang fight once in a while" (page 4). The Socs, on the other hand, "jump greasers and wreck houses" (page 4). The expectations that these gangs have of themselves and each other determine their behavior. Though both groups engage in youthful misdeeds, the Socs have the capacity to go on to college, and people think they are capable of more. As Ponyboy says, the Socs "get editorials i...

How has Shakespeare has created contradictory representations of Macbeth in the play, Macbeth?

Some times, Macbeth is quite courageous; other times, he is cowardly.  The first description we hear of Macbeth is from the captain who calls him "brave Macbeth (well he deserves that name)" and discusses the way he slashed his way through the battle in order to "unseam [his enemy] from the nave to th' chops" (1.2.18, 1.2.24).  He places himself in grave danger to defend the kingdom and the king against traitors and invaders.  However, later in the play, he hires murderers to kill his friend Banquo when he feels too threatened by Banquo's prophecy and noble nature.  He is too cowardly to do the job himself, lying to the murderers to get them to do it for him; then he absolutely panics when Banquo's ghost appears, and he totally loses his cool.  Likewise, Macbeth is, at times, in possession of a sound conscience; other times, he is totally unscrupulous.  After he weighs all of the reasons he has not to kill Duncan, he decides that "We will proceed no...

What is the difference between physical and chemical digestion?

Physical digestion is also known as mechanical digestion.  During mechanical digestion, food is physically broken down into smaller pieces.  The mouth is a good example for where mechanical digestion occurs.  The teeth grind, cut, and shred food into smaller pieces.  This increases the overall surface area of the food being eaten which is important for chemical digestion.   Chemical digestion is done with various chemicals and will chemically break down the food into simpler and simpler molecules.  Two broad categories of chemicals used in chemical digestion are acids and enzymes.  Things like hydrochloric acid and amylase are specific examples.  Amylase will be used in the mouth.  That means the mouth is capable of doing both chemical and mechanical digestion.  Saliva contains the amylase enzyme which specifically targets sugars and starches.  Teeth tear the food into smaller pieces, which gives the food a greater surface area for the amylase to attack.  

How did William Lloyd Garrison achieve national prominence?

It is important to remember that even though he was nationally prominent, William Lloyd Garrison was at no point a mainstream figure. He was on the radical fringe of the abolitionist movement, one which brooked no compromise whatsoever over the issue of slavery. Garrison even sometimes advocated the dissolution of the Union to rid the body politic of the stain of slavery. This being said, Garrison rose to prominence by the publication of The Liberator, his newspaper which remained in publication from 1831 through the Civil War. This paper, while relatively limited in circulation, inspired abolitionists throughout the North, most famously Frederick Douglass. Garrison also engaged in almost constant public speaking tours, lecturing like-minded groups around the North. He also took part in dramatic and provocative acts of protest, famously burning a copy of the Constitution, which he denounced as a "covenant with death." He organized the American Anti-Slavery Society, an organiz...

What were the consequences of World War II for the colonized people of Asia ?

The eventual consequence of World War II for the colonized people of Asia was that they stopped being colonized.  WWII caused the colonial powers to give up their colonies, with most of them giving the colonies up rather quickly. WWII freed the people of Japanese colonies from colonization immediately.  Japan was ejected from Korea and Taiwan, ending colonialism in those lands.  Also gaining their freedom rather quickly were the people of the large British colonies in Asia.  The British had been so weakened by WWII that they knew that they could no longer resist large colonial movements for independence.  For this reason, they freed all of the Indian subcontinent as well as Burma.  France was also severely weakened by the war both in terms of its economic and military power and in terms of its prestige.  It had lost to Germany so quickly that its colonial subjects were certainly no longer in awe of it.  This helped lead relatively quickly to the loss of France’s colonies in what was th...

How does Miller's assertion "there were no witches then" affect your view of the children in the play? Why does Miller tell us this outright?

Miller's assertion is, obviously, that the children were lying. They saw, in the witch trials, not only an opportunity to get back at those who they despised, but also as an opportunity to legitimately rebel against the harshly constrictive society in which they lived. The court gave them powers they had never had before. They could now abuse those powers with gusto, free from the persecution that was the lot of those whom they accused. Furthermore, the witch trials also afforded them an opportunity to appease their guilt and transfer it to others. The girls had, in fact, performed rituals with Tituba and would have faced severe sanction if they had not pointed out that they were not entirely responsible but that others, mainly adults, were the ones who introduced them to, or forced them to, indulge in such wicked practices. When Tituba was blamed, she, to avoid persecution and torture, started blaming others, which opened the door for the anxious girls to follow suit. The girls pl...

Consider the following cell reaction: Cd(s) + 2 H^+(? M) -> Cd^2+(1.00 M) + H2(g)(1.00 atm) If the cell potential at 298 K is 0.200 volts,...

To solve this numerical, we will have to use the Nernst equation, which can be written as: `E = E^0 - (0.059/n) log_10 ([H^+]^2 / p_(H2)) ` Here, the number of moles, n = 2 and `p_(H_2)` = 1 atm  Also, `E-E^0` = 0.2 V (at 298 K) Thus, substituting the values in the Nernst equation, we get: `0.2 = -(0.059/2) log_10 ([H^+]^2)` solving the equation, we get the concentration of protons as 4.076 x 10^-4 M. That is, `[H^+] = 4.076 xx 10^(-4) M` Concentration of protons (H+ ions) can be converted to pH of the anode, by using the following relation: `pH = - log_10 [H^+]` Thus, pH = -log (4.076 x 10^-4) = 3.39 Thus, the pH at the anode of this given cell is 3.39. The cathode is made of cadmium, while the hydrogen electrode is the anode, in this case. Hope this helps. 

A common igneous rock that forms the Earth's crust is?

There are three types of rocks: igneous, sedimentary and metamorphic. Among these, igneous rocks are formed when magma (molten rock) from underneath the Earth rises up to the surface, cools down and solidifies. The interior of the Earth is very hot and temperatures are high enough to melt rocks. The surface temperature is very low in comparison and thus allows the molten rocks to cool down and solidify into igneous rocks. One of the most common igneous rocks formed on Earth's surface (and hence called extrusive rock) is basalt.  It is a fine-grained rock and is very commonly found on the planet's surface. It makes up most of the oceanic crust and is also found in significant fractions in our continental crust. Some other extrusive rocks are andecite and pumice. If the rocks are formed under the surface of Earth, then they are called intrusive igneous rocks. Some examples of such rocks include granite and diorite. Hope this helps. 

Discuss the Egyptian independence movement.

Egypt's independence from Great Britain was a very long process. After World War II, the Egyptian aristocracy demanded independence from Great Britain in 1919. In 1922, Britain responded by granting conditional independence and constructing a constitutional monarchy in Egypt.  England still had a great deal of political influence over Egypt, particularly in how Egypt dealt with other countries. The British also maintained a standing army in Egypt, especially near the Suez Canal. In the early 1950's, the Egyptians achieved full independence. A military coup (1952), led by Colonel Gamel Abdel Nasser, toppled the monarchy. The British and French responded by sending troops to launch an attack on Nasser. The United States and the Soviet Union both condemned these attacks and exerted pressure to end the military conflict. After this event, which is called The Suez Canal Crisis (October, 1956,) Nasser emerged as a very powerful presence in the Middle East. As the new president of Egy...

Write a balance equation for the following (if no reaction occurs, indicate "no reaction)ethyl alcohol+H2S04 @ 140c?

You have asked for the chemical equation for the reaction of ethyl alcohol (C2H5OH) and H2SO4 (sulfuric acid) at a high temperature (140 degrees C).  The OH group in ethyl alcohol is called the hydroxyl group.  The oxygen atom in the hydroxyl group is electronegative (meaning it attracts electrons) and therefore has a partial negative charge.  Sulfuric acid is a very strong acid and readily loses a proton (H+) which is electropositive.  The proton is attracted to the hydroxyl oxygen to form the charged species (OH2)+ which is an excellent leaving group (it forms water (H2O)).  Another hydroxyl group from a neighboring ethyl alcohol molecule can replace this leaving group to form a new carbon-oxygen bond and produce a molecule of diethyl ether (C2H5-O-C2H5).  The balanced overall chemical reaction is shown below: 2C2H5OH + H2SO4 --> C2H5-O-C2H5 + H2O + H2SO4

What was the solution to the Great Comprimise?

The rallying cry of the American Revolution was “no taxation without representation,” so when the Constitutional Convention convened in 1787, one of the first things the delegates had to do was decide representation—decide how many votes each state would get. Large states, meaning states with a large population, believed that population should determine representation; basically, more people should equal more votes. This was the basis of the Virginia Plan, sometimes called the Randolph Plan. The Virginia Plan was favored by large states. States with a smaller population were worried that the Virginia Plan would give power to the larger states while smaller states would be powerless, so they proposed the New Jersey Plan. The New Jersey Plan, sometimes called the Patterson Plan, believed that all states should have equal representation, regardless of population. The Great Compromise was the solution. Sometimes called the Connecticut Compromise or Sherman’s Compromise, the Great Compromis...

What can you infer about Jimmy Valentine’s thinking in "A Retrieved Reformation"? What does he believe Price aims to do at the bank?

To Jimmy Valentine, the presence of Ben Price at the bank indicates that he has again been on Jimmy's trail and is there to arrest him.  Recalling that it was the acumen and persistence of Detective Ben Price that put him in prison in the first place, it is only reasonable that Jimmy Valentine infers that the presence of Price in the Elmore Bank is purposeful. After all, Elmore, Arkansas, is not a well-known town. Among other factors that enter into Valentine's thinking that Ben Price is there to arrest him for the robberies since his release from prison are the following: 1. Price is probably very angry that Jimmy received a pardon from the governor after he spent untold hours investigating Jimmy's crimes and tracking him down. This pardon would be considered by Price as a professional insult. 2. Price may also feel personal umbrage by the pardoning of Valentine because he underwent the risk of personal harm to have wrestled Jimmy into arrest in his room in a little town o...

`(3x^(-2)+(2x-1)^(-1))/(6/(x^-1+2)+3x^-1)` Simplify the complex fraction.

`(3x^(-2)+(2x-1)^(-1))/(6/(x^(-1)+2)+3x^(-1))` First, apply the negative exponent rule `a^(-m)=1/a^m` . `=(3/x^2+ 1/(2x-1))/(6/(1/x+2) + 3/x)` Then, simplify the fraction `6/(1/x+2)` . To do so, multiply it by `x/x` . `=(3/x^2+ 1/(2x-1))/(6/(1/x+2) *x/x+ 3/x)` `=(3/x^2+ 1/(2x-1))/((6x)/(1+2x) + 3/x)` `=(3/x^2+ 1/(2x-1))/((6x)/(2x+1) + 3/x)` Then, multiply the top and bottom of the complex fraction by the LCD of the four fractions present.  The LCD is `x^2(2x - 1)(2x + 1)` . `=(3/x^2+ 1/(2x-1))/((6x)/(2x+1) + 3/x)*(x^2(2x-1)(2x+1))/(x^2(2x-1)(2x+1))` `=(3(2x-1)(2x+1) + x^2(2x+1))/(6x(x^2)(2x-1)+3x(2x-1)(2x+1))` To simplify it further, factor out the GCF in the numerator. Also, factor out the GCF of the denominator. `= ((2x+1)(3(2x-1) + x^2))/(3x(2x-1)(2x^2+2x+1))` `=((2x+1)(6x-3+x^2))/(3x(2x-1)(2x^2+2x+1))` `= ((2x+1)(x^2+6x-3))/(3x(2x-1)(2x^2+2x+1))` Both numerator and denominator are now in factored form. Since there is no common factor between them, no factors are cancelled. Therefor...

What does this quote from The Great Gatsby mean? " Yes...Well, can't talk now...I can't talk now, old sport...I said a small town ...He must know...

When Gatsby brings Nick and Daisy to his house for a tour just after he and Daisy have reunited in chapter five, a phone call interrupts them. Gatsby takes the call and tries to end the conversation quickly. Just prior to this scene, Gatsby had been evasive with Nick while explaining the source of his astonishing wealth. What the reader is able to infer from the call is that Gatsby is involved in business that he wants to conduct "under the radar" of the law. "I said a small town" implies that Gatsby does not want a lot of public attention paid to whatever he is doing, and that he does not want to attract the attention of sophisticated metropolitan police, federal authorities, or perhaps competitors. He is speaking to an associate about a third associate who he clearly thinks needs to be cut out of their business dealings.

What is the main metaphor in D.H. Lawrence's poem "Lesson of the Afternoon"?

The main metaphor in D. H. Lawrence’s poem “Last Lesson” is a comparison between his students and a pack of dogs. In the first stanza of the poem, the narrator (who is a teacher) compares his students to hunting dogs. Hunting dogs will only pursue the things they are instinctively drawn to. As a teacher, he feels helpless and questions his ability to spark an interest in learning in his pupils. The students are not drawn to education and cannot be forced to absorb information when they act like the hunting hounds. Just as the dogs cannot be coaxed into following the trail, the teacher says he can no longer cajole the students to read and write.  How long have they tugged the leash, and strained apart, My pack of unruly hounds! I cannot start Them again on a quarry of knowledge they hate to hunt, I can haul them and urge them no more.

How did Napoleonic wars impact nationalism in Europe?

Generally, the Napoleonic Wars are seen as a seminal event in the emergence of nationalism in several European nations. This is partly because many different peoples around Europe chafed under the rule of the French Empire. Napoleon held much of Europe under his sway for a number of years, and many peoples that did not imagine themselves as unified previously began to see themselves that way in opposition to French rule. This was especially true in the Iberian peninsula. But the French Revolution contributed to the emergence of nationalism in more subtle ways. It essentially created the idea of a citizen (as opposed to a subject) and of a body politic united in a common struggle in France. It also popularized the idea of universal rights, lending the nationalism that emerged in Europe a decidedly liberal bent. Other events, especially the Industrial Revolution, contributed to the emergence of nationalism in the early nineteenth century, but the Napoleonic Wars were a major turning poin...

In the novel The Outsiders, are there any other characters besides Ponyboy who change throughout the story?

In addition to Ponyboy's moral development and increased perspective on life, several other characters throughout the novel also experience similar changes in their lives. Cherry, a Soc cheerleader, develops a sense of empathy for the Greasers after the death of her boyfriend, Bob Sheldon. She identifies with the authenticity and genuine personalities of the Greasers and seeks to befriend individuals who are not pretentious and superficial like her Soc friends. After speaking with Ponyboy at the drive-ins, she becomes less judgmental and focused on being popular. Another Soc, Randy Adderson, develops a new perspective on life after Bob's death. He refuses to participate in the rumble because he feels that violence solves nothing. Like Cherry, Randy also feels like an outcast in his social group. After Ponyboy and Johnny saved the children from the burning church, Randy's views towards Greasers changed. Another character who experienced a change throughout the novel ...

In regards to the novel Things Fall Apart, do you agree with the following statement? "The obsession with with proving and preserving his manliness...

Yes, I agree with this statement. Okonkwo's obsession with being masculine negatively affects both his public and private life. Okonkwo is known and respected throughout his village for being the best wrestler and becomes one of the village leaders at a relatively young age. However, Okonkwo's masculinity often times alienates him from the other villagers. When Okonkwo calls Osugo a woman because he has no titles, he is chastised by the other elders. Okonkwo also wishes to fight against the white men when his tribe chooses to maintain an amiable relationship. Okonkwo's obsession with being viewed as masculine at all times negatively affects his relationship with his family. Okonkwo rejects Nwoye because he is not an athlete or fighter, and refuses to express his love towards Ezinma or Ikemefuna. Okonkwo also chooses to kill Ikemefuna because he does not want to be viewed as weak or feminine. Okonkwo's masculine approach to life results in an unhealthy relationship with ...

In The Adventures of Tom Sawyer, what is the relationship with adults and kids?

On the surface, the relationship between adults and kids is primarily adversarial. Tom is constantly trying to outmaneuver Aunt Polly so he can play all day without consequences, the school children orchestrate a prank against an angry and somewhat sadistic teacher, and so on. Still, the adults also show a certain degree of indulgence and concern, for Tom especially. Aunt Polly is not afraid to have a good laugh when Tom gets the better of her and likewise engages tricks and traps to catch him in bad behavior. In these exchanges, her love and concern shows through her scolding. Likewise, the town's outpouring of grief when they think the boys have died is both comedic and sweet. Though the adults scold and punish the children, they are still beloved.  Because the novel also includes satire and social commentary, it is important to note that much of Twain's satire is directed at institutions of the adult world, such as religion and school. It can seem at first that the adult wor...

`int 1/(sqrt(x)-root3(x)) dx` Use substitution and partial fractions to find the indefinite integral

`int1/(sqrt(x)-root(3)(x))dx` Apply integral substitution:`u=x^(1/6)` `=>du=1/6x^(1/6-1)dx` `du=1/6x^(-5/6)dx` `du=1/(6x^(5/6))dx` `6x^(5/6)du=dx` `6(x^(1/6))^5du=dx` `6u^5du=dx` `int1/(sqrt(x)-root(3)(x))dx=int(6u^5)/(u^3-u^2)du` `=int(6u^5)/(u^2(u-1))du` Take the constant out, `=6intu^3/(u-1)du` Integrand is an inproper rational function as degree of numerator is more than the degree of the denominator, So let's carry out the division, `u^3/(u-1)=u^2+u+1+1/(u-1)` `=6int(u^2+u+1+1/(u-1))du` Apply the sum rule, `=6(intu^2du+intudu+int1du+int1/(u-1)du)` Apply the power rule and the common integer:`int1/xdx=ln|x|` `=6(u^3/3+u^2/2+u+ln|u-1|)` Substitute back `u=x^(1/6)` and add a constant C to the solution, `=6(1/3(x^(1/6))^3+1/2(x^(1/6))^2+x^(1/6)+ln|x^(1/6)-1|)+C` `=2x^(1/2)+3x^(1/3)+6x^(1/6)+6ln|x^(1/6)-1|+C` `=2sqrt(x)+3root(3)(x)+6root(6)(x)+6ln|root(6)(x)-1|+C`

A parent’s love can be described as a double-edged sword, having the power to both defend and destroy a child. Explain how this is true in the...

A parent’s love can both defend and destroy a child.  In “Rules of the Game,” Waverly Jong’s mother is a good example of this.  Waverly’s mother is very interested in and concerned about her daughter.  One way she shows this is in the way she teaches her to get along in America.  When Waverly receives the Christmas gift in the story, Waverly says, “My mother graciously thanked the unknown benefactor, saying, "Too good. Cost too much.”  Waverly’s mother knows that she must appear gracious about the gift, despite the fact that when she returns home, she is upset and tells the children to throw the chess set away. “ ‘She not want it. We not want it.’ she said, tossing her head stiffly to the side with a tight, proud smile.”  In this instance, Waverly’s mother shows her that she must accept the gift because it is the right thing to do, but she also demonstrates that pride is destructive. If the children had listened to their mother about the chess set, Waverly would have never learned...

How does the society in Kurt Vonnegut's "Harrison Bergeron" compare to modern society?

Whenever you read speculative fiction, it's important to look at the story's themes and see how they are related to our world. Although Kurt Vonnegut's "Harrison Bergeron" was written about 50 years ago, many of the themes in the story are relevant today. Perhaps the idea from "Harrison Bergeron" that is most relevant today is the idea of equality. In the story, society has chosen to blind itself to the fact that certain individuals have greater athletic, intellectual, and aesthetic abilities than others. In order to make this law, the government passed several amendments. The story makes it clear that most in the society agree with the laws. At one point in "Harrison Bergeron," Hazel Bergeron tells her husband, George, that he should make his handicap a little bit lighter to ease his burden. George snaps back, "If I tried to get away with it...then other people'd get away with it—and pretty soon we'd be right back to the dark ages...

Are there any quotes that show Macbeth's self-awareness? If so, could you please include some techniques present in those quotes.

Macbeth demonstrates his self-awareness throughout the play, beginning in Act I, Scene 4, when he says, "Stars, hide your fires; Let not light see my black and deep desires." He recognizes that his ambition to be king by killing Duncan would be an indefensible and immoral act, yet his thoughts drift to that place. Another quotation that demonstrates Macbeth's self-awareness is found in Act I, Scene 7, when he observes "I have no spur/ To prick the sides of my intent, but only/ Vaulting ambition." What Macbeth means is that he has no legitimate reason to commit regicide; Duncan is a fine king with integrity and a loyal following. He admits that the only reason he wants to kill Duncan is because he wants the throne for himself. Another example is found in Act I, Scene 7, when Lady Macbeth questions her husband's masculinity. He answers her briefly and without apparent heat: "I dare do all that may become a man;/ Who dares do more is none." Here, Macb...

How does the Constitution force Americans to compromise?

To be precise, the Constitution does not actually force Americans to compromise.  However, it does make it more likely that they will have to do so.  The Constitution does this because it sets up a system of checks and balances in our government. Because of the way our Constitution sets up the government, power is divided among various governmental bodies.  Most obviously, power is divided between the House, the Senate, and the Executive Branch, which is led by the President.  In addition, states have some powers that the national government cannot take away from them.  Because of this, Americans are more likely to have to compromise. Americans are more likely to have to compromise because people with the same ideas will not always control the House, the Senate, the Executive Branch, and the state governments.  Right now, for example, Republicans control the House and the Senate while the President is a Democrat.  In order for any law to be passed, both the Republicans who control Cong...

How is Ralph responsible in Lord of the Flies?

Ralph's ability to call assemblies, create rules, and protect Piggy and the littluns make him a responsible individual throughout the novel Lord of the Flies . Ralph is the first person to call the boys together on the island and fulfills the position as chief after he is elected. Ralph does his best to prioritize essential tasks, such as building shelters and maintaining a signal fire on top of the mountain. Ralph offers the boys encouragement and tries his best to maintain order while he is chief. Although Ralph is not a successful leader, he does not give into Jack's tyrannical leadership and opposes him throughout the entire novel. In addition to holding assemblies to discuss various issues that the boys have on the island, Ralph takes on the responsibility of protecting Piggy and the littluns from Jack. Ralph sticks up for Piggy on several occasions and openly challenges Jack in front of his hunters. Ralph not only takes on the responsibility of being the elected leader,...

What is the difference between a lymphocyte and a phagocyte?

Both lymphocytes and phagocytes are components of a body's immune system and serve to protect the body from harmful components. Lymphocytes are produced by lymph nodes and are a component of the body's immune system. There are three types of lymphocytes: thymus cells (T cells), bone marrow cells (B cells), and natural killer cells (NK cells), all of which have unique functions. T cells guide a body's immune response at a cellular level whereas B cells direct immune responses through antibodies. In contrast, natural killer cells expunge harmful material. Phagocytes, also part of the body's immune system, engulf harmful material in the body. These cells follow chemical signals in the body to areas with dying cells, foreign particles, or bacteria and ingest the harmful components. Some phagocytes even work with lymphocytes, specifically natural killer cells, to destroy harmful components.

How do both Hamlet and Don Quixote act as soldiers? What does that tell us about heroism?

Both Hamlet and Don Quixote are used to critique "heroism" that relies too heavily on violence. Hamlet is pointedly a scholar, not a soldier, despite being the son of a king. When confronted with the warrior's honor code that insists he murder his uncle to avenge his father's death, Hamlet hesitates. While many have seen this as a character flaw of Hamlet's, critics such as Rene Girard in his essay "Hamlet's Dull Revenge" understand Shakespeare to be critiquing an ethic that creates a continuous cycle of bloodshed and revenge. Hamlet is a sympathetic character, deeply anguished about doing the right thing, to the point of contemplating suicide as a release from his dilemma, but he is no warrior. Thinking, not fighting, is his chief weapon, and he does nothing to prevent Fortinbras from invading his kingdom (arguably, this is his uncle's problem, but as stepson of the king, he might have been created with a more soldierly aspect). By casting this ...

What is the relationship between Apollo and the Furies? How do they view each other?

The Oresteia is one of many Greek literary works that takes places immediately after the Trojan War. Both the plot of the story and the characters within it would have been familiar to its audience. The most important information you need to understand the relationship of Apollo to the Erinyes or Furies is actually the background found in Hesiod's Theogony about the generations of the Greek gods.  According to Hesiod and other ancient sources, the first generation of gods were primordial deities representing such natural elements as Chaos (or the Void), earth, night, and sky. The second generation sprang from these and overthrew them; this second generation was that of the Titans. The Furies were part of this generation. The third generation of Olympian gods (including Apollo) overthrew the Titans, imprisoning many of them or condemning them to eternal punishment. The Furies are female goddesses of justice who see Apollo's support for Orestes as part of a pattern of the disre...

In Tangerine how does the Lake Windsor football team lose all of its winning records?

The Lake Windsor football team loses all its winning records when Antoine Thomas admits he lives in Tangerine (instead of Lake Windsor) and, as a result, the county votes "to nullify all victories by the Lake Windsor High School Team over the last three seasons."  This is tragic for the school and the players.   The entire lie begins when Antoine Thomas wants to play for the Lake Windsor football team because it is known to be better than that of Tangerine (where Antoine actually lives); therefore, he lies about his address.  Antoine is hoping to get a football scholarship as a result.  When Antoine's lie begins to affect his sister's life, Antoine cannot live with the guilt anymore.  This is when he comes forward and admits that he lied to the Tangerine County Sports Commission.  The result is the nullification of all the Lake Windsor victories for three seasons.  What this means is that the record is wiped clean.  Any game Lake Windsor won and any record that any in...

What is the meaning of "The Reapers" by Jean Toomer? Does it shed any additional light on the symbolism of the tractor in A Gathering of Old...

Here, you have a three-part assignment that asks you to understand Toomer's work in light of his background. The key biographical fact you want to discuss is Toomer's mixed race heritage and the way that has led to much of his work exploring the question of racial identity. Many of his works focus on the intersection of various cultures. For example, Candy, although white, regards Mathu almost as a father-figure, and the "Salt and Pepper" team also exemplify racial interdependence.  In the poem, the initial quatrain focuses on black men sharpening scythes, while the conclusion of the poem focuses on the death of the rat. In the poem, the rat's death is obviously an accident. No one intended to kill it; it merely got in the way. The black men are just laborers doing their jobs. They don't own the fields and are not the ones who organized the harvest. What your instructor wants you to think about, given the juxtaposition of this and the novel, is how mechanizati...

Before Professor Herbert meets Mr. Sexton, what is your impression of the teacher?

In the beginning of the story, Professor Herbert tells Dave that he must pay his part of the six-dollar fine for breaking down the cherry tree. Dave protests that he doesn't have the dollar and begs his teacher to whip him instead. Upon hearing this, Professor Herbert answers that Dave is too big to whip. Professor Herbert doesn't appear to be the sort of teacher who automatically resorts to capital punishment when his students misbehave. Instead, he gives the impression that he is fair yet uncompromising in his values. His fairness and compassion are demonstrated when he declines to whip Dave and offers to pay his student's fine. Next, Professor Herbert orders Dave to work two hours after school for two consecutive days in order to pay off his fine. He tells Dave that he can do various chores such as sweeping the schoolhouse floor, cleaning the windows, and washing the blackboards. In this way, Professor Herbert is able to help Dave and to hold him accountable for his part...

A solid is generated by revolving the region bounded by `y = x^2/2` and `y = 2` about the y-axis. A hole, centered along the axis of revolution, is...

Given , `y=(x^2)/2 ` and `y=2` A solid is generated by revolving the region bounded by these curves about y-axis. So ,let us find the volume of the solid generated. It is as follows: Using the shell method we can find the volume of the solid `V= 2*pi int_a^b p(x)h(x)dx` but we have to find the range of x so , let us find the intersection points => `2= x^2/2` => `x^2=4` =>`x^2-4=0` so,`x=+-2 ,` as only the ranges is between 0 to a positive number, So, `0<=x<=2` So, volume = `2*pi int_0^2 (x)(2-(x^2/2))dx` =`2*pi int_0^2(2x-(x^3)/2)dx` =`2*pi [2x^2/2 -x^4/8]_0^2` `=2*pi[[4-2]-[0]]` =`4pi` Now given that a hole, centered along the axis of revolution, is drilled through this solid so that one fourth of the volume so the volume of the hole `= 1/4* 4pi = pi` now we have to find the diameter . as we know that the radius of the hole can be calculated by getting the range of the x with respect to the hole . now we can find the volume of the hole it is given as `V= 2*pi int_a^b p(...

In Death of a Salesman by Arthur Miller, what quotes show Willy's fear of abandonment?

Most of Willy's fear of abandonment comes through in the scenes where he has imaginary conversations with his brother, Ben, who is a father figure but who also abandoned him when he was young. In Act I, Willy says, "Ben! I've been waiting for you so long! What's the answer? How did you do it?" Willy repeatedly tries to get from Ben what he didn't get from his father. Willy states, "I remember you walking away down some open road." Willy doesn't want Ben to leave again. He says, "Can't you stay a few days? You're just what I need, Ben, because... Dad left when I was such a baby and I never had a chance to talk to him and I still feel—kind of temporary about myself."  Willy also seems to fear his sons will abandon him, telling Linda, "Work a lifetime to pay off a house. You finally own it, and there's nobody to live in it." The statement is ironic, however, since the audience finds out later that Willy was the one wh...

"Underlying the creation of particular characters in texts are broader ideas about what defines femininity and masculinity." Using this idea, how...

One of the best quotes about gender in F. Scott Fitzgerald's The Great Gatsby comes early on in the first chapter, at which point Daisy discusses her reaction to the birth of her daughter: "'I'm glad it's a girl. And I hope she'll be a fool—that's the best thing a girl can be in this world, a beautiful little fool.'" This quote says a lot about gender relations in  The Great Gatsby . First of all, it acknowledges the subordinate social status of women. In Fitzgerald's world of elite wealth, men see women as possessions to be acquired. Indeed, though he undoubtedly loves her, Gatsby also undeniably sees Daisy as a possession, another glittering jewel to add to his fortune in order to cement his powerful social status. Likewise, Tom seeks to "own" as many women as possible, and he doesn't let Daisy go at the end, despite the fact that he cheats on her frequently and seems to care little for her happiness. All in all, Fitzgerald expl...

What are some of Angela Shepard's thoughts throughout the novel That Was Then, This Is Now?

Angela Shepard is Bryon's ex-girlfriend. She is known as a beautiful, tough girl who is attracted to drama. In Chapter 3, Ponyboy is attacked during a school dance, and Mark is hit in the head with a bottle while trying to defend him. When Bryon sees Angela talking to a kid in handcuffs, he realizes Angela influenced the kid to pick a fight with Ponyboy. Although it is not directly stated, Angela Shepard feels hurt and upset at Ponyboy for ignoring her advances. Later in the novel, Mark and Bryon run into Angela, who has been drinking. Angela mentions that she misses Bryon and hates her life. She regrets getting married and doesn't like the fact that her husband is jobless. She is upset that her brothers are in jail, and her father is an alcoholic. Despite her tough exterior, Angela is very disappointed with how her life is turning out.

How did French officers and soldiers learn about the freedoms gained by American citizens?

When the American Revolution started in 1776, France immediately saw it as an opportunity to weaken the British Empire. They secretly began sending supplies to the colonies, especially gunpowder. During this time, Benjamin Franklin was appointed as the American ambassador to France. During his time as ambassador, Franklin earned the respect and admiration of the French and he served as a shining example of American democracy. In 1777, after the Americans had beaten the British at the Battle of Saratoga, the French realized that the Americans had a real chance at winning the war. They continued to send supplies, but they also began to send soldiers and ships to aid the Americans in the war effort. The soldiers and officers that France sent to America worked closely with American soldiers, spent their money on American goods, and endeared themselves to the local populace. Meanwhile, France was being ruled by an absolute monarch, and the upper classes of French society lived in luxury whi...

How do sociologists study the impact of society on individual thoughts, feelings, and behavior? What “tools” or concepts do they employ to...

Sociologists study the effect of society on individual thoughts, feelings, and behavior and the effect of individuals on society through the scientific method. To study a question, sociologists apply a theory, such as functionalism (which looks at the balance of different forces in society); conflict theory (which looks at change and conflict within society); and interactionalism (which looks at the way in which social interactions change society). They then identify a question, study relevant research on that question, and collect and study the data. To collect data, they use surveys (such as questionnaires, scales, and other forms) and observations. Sometimes, they use participant observations and join a group to study it from within and understand social phenomena firsthand. The data they collect then affect their theories and questions in a cyclical and iterative process. In addition, sociologists use their sociological imagination, as C. Wright Mills called it. This is the ability...

In "The Cold Equations" by Tom Godwin, what does Commander Delhart suggest that Barton do about the stowaway?

In Tom Godwin's short story "The Cold Equations," Commander Delhart gives commands rather than suggestions just as any commander of a ship or interstellar cruiser would. However, he shows the utmost compassion while giving commands and granting permission. His first command is that Barton follow through with the regulation of ejecting the stowaway. Upon learning that the stowaway is an innocent girl, he quickly understands that Barton contacted him to see if anything could be done for her. But, since the Stardust cannot afford to make any unscheduled stops and the colonists absolutely need their medical supplies that are about to be delivered by Barton, Commander Delhart must give the following sad answer: I'm sorry--I can do nothing. This cruiser must maintain its schedule; the life of not one person but the lives of many depend on it. He then orders Barton to "go through with it." After Barton gives an incomplete report of Marilyn's execution to S...

How does Priestley create tension in the play An Inspector Calls?

Priestley creates tension by making the play a mystery which unravels slowly, entangling the Birling family members. Strangely, the Inspector is unknown to Mr. Birling, who is familiar with the police. Purposely, Inspector Goole only questions one person at a time because, as he says, "...what happened to her may have determined what happened to her afterwards, and what happened to her afterwards may have driven her to suicide." It seems that each person in the Birling house plays a role in the death of Eva Smith, and no one sees her photograph until the Inspector allows him or her to do so. The Inspector speaks first to Mr. Birling, who fired Eva after she went on strike for higher wages; then the Inspector talks to Birling's daughter, Sheila, who in jealousy had the young woman dismissed from a dress shop. The young woman then changed her name and tried to have men take care of her; soon, she met Gerald, Sheila's fiance, who put her up in a friend's apartment an...

Define slavery in your own words.

In one sense, slavery is very easy to define.  In another way, it is much more difficult.  Let us examine how this is so. It is very easy to define slavery in broad terms.  We can simply say that slavery is when a person is owned by another and is not free to come and go as they please.  We can say that the slave is bound to obey the owner, no matter what the owner wants them to do.  In general, this means that the slave has to work for the person who owns them.  Slavery, then, exists when Person A owns Person B so Person B has to do whatever Person A says. Outside of this broad definition, however, things get more complicated.  I will set out three questions about slavery that you will need to answer for yourself when you write your own definition.  First, is a person a slave if slavery is not legal in the country where they live?  If I buy you illegally and control you by my own force, are you still a slave even though the laws do not acknowledge that you are my property?  Second, is...

How much heat is added if .685 g of water increases in temperature by 287 degrees C?

The temperature of the water will increase in proportion to the amount of heat added. The quantity of heat that is needed can be calculated by the following formula: heat added (or lost) = mass of water x specific heat of water x change in temperature where specific heat is the amount of heat required to raise the temperature of a unit mass of a substance by 1 degree Celsius. In case of water, the specific heat is 4.186 J/K/g.  However, for a temperature change of 287 degrees, one must note that water converts to steam at 100 degrees C and the specific heat of steam is 1.996 J/K/g and the latent heat of vaporization is 2256 J/g.  Assuming some initial temperature (since it is not given), say 20 degrees C. Thus, the water sample undergoes three phases: Boiling from 20 degrees C to 100 degrees C (80 degree Temperature change): Heat needed = 0.685 g x 4.186 J/K/g x (100 -20) = 229.4 J Phase change to steam at 100 degrees C: Heat needed = mass x latent heat = 0.685 g x 2257 J/g = 1546.1 J ...

Why did author John Collier choose the title “The Chaser”?

The term "chaser," as used by drinkers, is getting to be somewhat outdated. It means a drink of something bland or sweet to follow-up a straight shot of something like whiskey, gin, rum, or tequila. It is called a chaser because it is drunk quickly after the initial strong shot of liquor, which has a high alcohol content. When John Collier used the word in his title in The New Yorker in 1940, almost all readers would have understood his reference. Some contemporary readers do not understood the connotation of the word, however, likely because they think it has something to do with chasing after women, which is definitely what Alan Austen is doing. The term as used in Collier's story means the old man who sells love potions also has a follow-up potion for sale which acts as an undetectable poison. The old man assumes a young man who is so anxious to get a girl to fall in love with him will get tired of her clinging and possessiveness and will be a good customer for the mu...

`int e^xsqrt(1-e^(2x)) dx` Find the indefinite integral

Recall that indefinite integral follows the formula: `int f(x) dx = F(x) +C`  where: `f(x)` as the integrand            `F(x)` as the anti-derivative function             `C`  as the arbitrary constant known as constant of integration For the given problem `int e^xsqrt(1-e^(2x))dx` , it resembles one of the formula from integration table.  We may apply the integral formula for function with roots as: `int sqrt(a^2-u^2)du = 1/2u*sqrt(a^2-u^2)+1/2a^2arctan(u/sqrt(a^2-u^2))+C` For easier comparison, we may apply u-substitution by letting `u =e^x` then `du =e^x dx` or `(du)/e^x = dx` . Note that `u= e^x` then  `(du)/e^x = dx`  becomes  `(du)/u = dx` Plug-in the values on the integral problem, we get: `int e^xsqrt(1-e^(2x))dx=int usqrt(1-u^2)*(du)/u`                               `= intsqrt(1-u^2)du` Apply aforementioned integral formula for function with roots where `a^2=1`  , we get: `intsqrt(1-u^2)du =1/2u*sqrt(1-u^2)+1/2*1*arctan(u/sqrt(1-u^2))+C`                   `=1/2usqrt(1-u^2)+1/2...

A paradox is an apparent contradiction that reveals a truth. The witches end the first scene with a paradox: "fair is foul, and foul is fair."...

When the Weird Sisters say that "Fair is foul, and foul is fair," they mean that things that seem good could really be bad, and things that seem bad things could really be good (1.1.12).  Macbeth recalls this motif when he says, "So foul and fair a day I have not seen" (1.3.39).  In one sense, the day has been foul because he has been involved in bloody battles; in another sense, it's been fair because his forces have prevailed.   Then, when the Weird Sisters approach him with their prophecies, their words seem quite good, predicting a noble future for Macbeth; however, Banquo cautions him that "oftentimes, to win us to our harm, / The instruments of darkness tell us truths, / Win us with honest trifles, to betray 's / In deepest consequence" (1.3.135-138).   Banquo doubts the motives of the witches, and he believes that they might be trying to appear honest in order to mask their manipulative intent and draw Macbeth and Banquo into cementing their...

How did World War II affect Australia’s international relationship with the United States?

World War II had a very positive impact on our relationship with Australia. Australia had been involved in World War II since 1939. They sided with the Allies. When we joined World War II after the attack on Pearl Harbor, Australia was very supportive of our war efforts in the Pacific. Japan made attempts to try to cut off Australia and New Zealand from the Allied war effort in the Pacific. As a result of the Battle of Guadalcanal, Japan was not able to accomplish this. We worked with the Australians in fighting this battle, as well as other battles in the region. As a result of our cooperation with Australia during World War II, we continued to build a strong relationship with them after the war. We have worked closely with Australia on foreign policy issues and on providing security for the region. For example, Australia was one of the countries that helped the United Nations in the Korean War.

What is the definition of texture as it is used in paragraph 20 in "A Mother in Mannville"?

In Marjorie Kinnan Rawlings's short story, "A Mother in Mannville," the word texture in paragraph twenty is used to describe the rhythm of chopping wood when Jerry returns after the first morning. Here is the quote: At daylight, I was half wakened by the sound of chopping. Again it was so even in texture that I went back to sleep.  The first time Jerry chopped wood for the narrator, it is described it as rhythmic and even.  I went back to work, closing the door. At first the sound of the boy dragging the brush annoyed me. Then he began to chop. The blows were rhythmic and steady, and shortly I had forgotten him, the sound no more an interruption than a consistent rain. According to the Merriam-Webster dictionary, texture comes from a Latin word meaning to weave. In using the context clues surrounding the word, readers understand that Rawlings is referring to the steady rhythm that Jerry is weaving with his skillful chopping.

Where were each of the gifts given by Boo Radley in Harper Lee's To Kill a Mockingbird?

Boo Radley hid gifts for Scout and Jem in the knot-hole of a large, old tree in front of the Radley house. The first gifts the siblings found in the tree were two sticks of gum. Jem cautioned Scout against chewing the gum. He was worried that it might be poisoned. Later, the children found a ball of twine. They left the twine for days, but it remained in the knot-hole. They decided that the gifts were there for them. They eagerly looked forward to finding new items in the knot-hole. Another time, they "pulled out two small images carved in soap. One was the figure of a boy, the other wore a crude dress" ( To Kill a Mockingbird , Chapter 7). They also found an old spelling medal and a broken pocket watch on a chain. Scout and Jem were fascinated by the gifts. They even wrote a letter to their mysterious gift-giver. The knot-hole was the place where they always found gifts. They were devastated when Mr. Radley filled the knot-hole with cement.

What was the New Deal? What were the three Rs? What did they do? Who did the New Deal help? Who did it not help? Why not? Be specific, give...

What was the New Deal? The New Deal is a term used to describe a broad series of experimental, socially liberal laws and programs that were designed to get people back to work during Great Depression. The New Deal was a project of President Franklin D. Roosevelt that was enacted between 1933 and 1938.  What were the three Rs, and what did each of them do? Franklin D. Roosevelt described the New Deal using three Rs: Relief, Recovery and Reform. The three Rs represented the three primary goals of Roosevelt's plan to help the U.S. recover from the Great Depression. Relief: Provide money to out-of-work Americans to be spent on food and housing. This relief came in the form of temporary housing, and the Public Works Administration, which helped to undercut unemployment by putting people to work on useful structures, such as government buildings and infrastructure. The theory was that jobs result in money, and more money in circulation results in a more stable economy. Recovery: Create p...

What are some fun essay topics for fourteen-year-olds?

There are different types of essays, but when getting fourteen-year-olds to write essays it is helpful to choose topics that the kids are interested in.  For example, you can have them write persuasive essays in which they choose a topic that is important to them like recycling or women’s rights.  They will be more interested in doing the research and their arguments will be more persuasive if they are passionate about the topic. Teenagers can be very creative.  Try giving them a variety of topics and encouraging them to choose one.  Sometimes students feel trapped when they only have one choice, but are more willing to try when they have choices.  For a narrative essay, for example, you could give them a choice of a fictional essay of different genres.  Some kids like fantasy, and others prefer realistic fiction or dystopia. Here are some suggested essay topics. -Which presidential candidate would be better for young people? -What will be the effect of the Black Lives Matter movement ...

This was a byproduct of America’s efforts to create synthetic rubber for the War Effort. It was stretchy, squishy, and oily. It was put in...

The product in question is today sold as Silly Putty.  Today, it is a children's toy.  When the United States entered World War II, they lost access to most of the world's rubber supply.  The areas where rubber came from were controlled by the Axis powers.  This caused many problems, as rubber was needed for tires.  Truck and airplane tires were essential to the war effort.  Rubber drives were held, and things like tires were rationed.   The quest to develop new types of synthetic rubber became essential.  An engineer named James Wright worked on the development of synthetic rubber products.  In 1943, he created the synthetic rubber material that would later become Silly Putty.  He thought it to be a complete failure.  As a usable rubber product for the War Effort, it was unsuccessful.  It did, however, have other uses.  A salesman eventually found the putty and showed it to others.  Someone had the idea to market the putty as a sort of toy.  This failed synthetic rubber became...