Notes

`(3/(x-2)-6/(x^2-4))/(3/(x+2)+1/(x-2))` `=(3/(x-2)-6/((x+2)(x-2)))/(3/(x+2)+1/(x-2))` `=((3(x+2)-6)/((x+2)(x-2)))/((3(x-2)+1(x+2))/((x+2)(x-2)))`  Divide the fractions `(a/b)/(c/d)=(ad)/(bc)` `=(3(x+2)-6)/(3(x-2)+1(x+2))` `=(3x+6-6)/(3x-6+x+2)` `=(3x)/(4x-4)` `=(3x)/(4(x-1))`

The villagers behave normally, and the mood among them is friendly as they gather in the square. The children assemble first and begin playing as is expected of children. They engage in talk about school and their teachers. The boys collect stones while the girls talk amongst themselves. The men arrive at the square after their children and engage in talk about farming, farming equipment, and taxes. They also share subtle jokes while waiting for the lottery to begin. The women arrive last, and when they meet, they engage in gossip. From how the villagers assemble, one would expect it is a normal lottery with prizes for the winning individual. However, as the story progresses, it emerges that the lottery is actually a bizarre ritual of human sacrifice. After the lottery, the singled out individual is stoned to death by the villagers.

The Greco-Roman period refers to ancient Greek and Roman rule. During this time, nude sculptures were very popular; the Greeks were especially intrigued with the beauty of the human form, and artists welcomed the opportunity to depict the human body in movement. For instance, the Parthenon sculptures included figures representing priests, soldiers, maidens, and nobles (all in various stages of movement). Both Greeks and Romans reveled in depicting gods and goddesses in all their physical perfection. Nude sculptures like the kouroi (nude male youths) and kore (clothed female figures) were extremely popular in the Greco-Roman world. The initial kouroi statues were rigid and sterile in terms of "flow." Later, Greek sculptors resorted to using marble to depict ever more realistic figures. With marble, a sculptor could more accurately depict the flow of a garment or the intricate expression on the face of a figure. Nevertheless, Greek and Roman sculptors concentrated mainly on ...

The preacher's words disturb Brent because they reference his current situation. Like Cain in the Bible, Brent is essentially living in exile. In complying with Mrs. Zamora's wishes, Brent basically becomes a sort of wanderer, perhaps even a "fugitive" from the kind of justice he thinks he deserves. He feels he should have been sent to the juvenile detention center instead of receiving probation. Above all else, Brent believes he deserves to be punished. The text tells us that Brent's reaction to the preacher's words is grief; he recognizes the preacher's quotation from chapter 4, verse 12 of Genesis: "When thou tillest the ground, it shall not henceforth yield unto thee her strength; a fugitive and a vagabond shalt thou be in the earth." The preacher's words remind Brent of his dismal situation, his culpability in Lea's death, and the loss of his innocence. Brent already feels like a fugitive from justice, and he definitely feels like a ...

The phrase "life's best gifts are often unexpected and often come as surprises" fits the story of Anne of Green Gables well.  Matthew and Marilla are both older and unmarried.  They are brother and sister and they share a house together.  They decide to adopt an orphan.  They choose to adopt a boy who can help out with the chores around the farm.   When Matthew takes his wagon to the train station, he does not find a boy who can help out with the chores.  Instead, he finds a skinny, red-headed little girl.  Not knowing what to do, Matthew takes Anne back to Green Gables.  When they arrive, Marilla is shocked.  She thinks that the whole situation is "a pretty kettle of fish."  She is annoyed by the mix-up, because she had specifically asked for a boy.  Marilla has no intentions of keeping Anne. Marilla soon warms up to Anne.  She starts to have conflicting feelings about the child.  She wonders if she should let Anne stay.  The intention had been to get a boy to...

The politician you're thinking of is Edmund Burke. He was born in Ireland (it's important to remember that at this time Ireland was under British rule; Northern Ireland still is) and moved to London after he gave up on his law studies. He was brought up in a religiously mixed house. He was a practicing Anglican and his sister was a Roman Catholic. In most households at this time, this would have been a strong point of contention. But perhaps it informs the type of pragmatism that Burke brought to the British Parliament when he was elected in 1765.  He knew firsthand what British rule looked like. Perhaps that's why he sided with Sam Adams and his compatriots as they petitioned King George III and the Parliament for redress of their grievances. Originally the American Colonies had no desire to be a separate country. They were, after all, loyal British subjects. However, as the Parliament demanded that the Colonists pay for, and perhaps not unreasonably so, the French and Ind...

Australia is a magnificently large continent and country, and the sheer size of the island body gives the continent a wide range of landscapes and levels of elevation. The landscapes span from tropical rainforests to mountain ranges to far reaches of dry, dry desert.  The desert, otherwise known as the outback, makes up the largest portion of the country. If you take the population density of the entire country, it reads quite low; a misleading number, because next to no one lives in the bare stretches of outback that make up the majority of the island. Imagine an island where the edges are lush and green and beautiful, and the whole middle is dry and filled with dangerous creatures and infertile soil. That's Australia.  Now that you understand the basics of Australian geography, you can begin to imagine the culture that might come hand-in-hand with such a strange body of land. People live in clusters of cities, mostly near the water, because those areas have fertile soil, beautifu...

"I celebrate myself" is the first portion of the first line of Walt Whitman's most famous poem, "Song of Myself." It is a fitting introduction, as Whitman's sprawling verse is most seriously concerned with developing a radical conception of the individual. In 52 sections, Whitman explores various themes, ideas, and images, but he returns again and again to the self in what becomes a celebration of the individual and the interconnected structure of the universe. "I celebrate myself" is a fitting introduction to this project, as it introduces Whitman's most important theme: the sovereignty of the self and the exploration of individual identity. This introductory line, along with the first section it precedes, touches on this basic theme at multiple points, as Whitman calls out to his "soul" (4), considers aspects of his physical body (6), and prepares to speak, "Hoping to cease not till death" (9). In short, "I celebrate ...

In Chapter One of "The Canterville Ghost," Lord Canterville reveals why he could no longer stay at Canterville Chase. For some time, he explains, many members of the Canterville family have lived in a state of perpetual fear because of the resident ghost. His wife, Lady Canterville, for example, could rarely sleep at night because of the "mysterious noises" which emanated from the library and the corridor. Many members of the family caught glimpses of the ghost and even the local rector, Reverend Augustus Dampier, claims to have seen him. Even worse than these fleeting glimpses, Lord Canterville's grandaunt, the Dowager Duchess of Bolton, was "frightened into a fit" after the ghost appeared to her as she was dressing for dinner. As a result, many of the family's servants refused to stay at the house, prompting Lord Canterville to move out and to put Canterville Chase on the market.

Act II, Scene III opens in Friar Laurence's cell, or private living space. He is holding a basket and speaks to himself about some of the plants he tends to and will gather. He remarks that many flowers have "virtues" (medicinal benefits) but that there can be a fine line between medicine and poison. Some plants are poisonous altogether, even those with a pleasant flower, sweet smell, or good flavor. If one abuses, or makes a vice of, those plants with medicinal properties, they might accidentally poison themselves and die.  Friar Laurence's speech foreshadows the events of the second half of the play by informing us of the good and bad qualities of plants. When Romeo is banished from Verona for killing Tybalt, he and Friar Laurence concoct a plan that will allow Juliet to escape with him. In Act IV, Scene I, the Friar gives Juliet a little bottle of a sleeping potion which is so strong it will make her appear dead for almost two full days. She is to drink the potion ...

The answer to this question depends upon the reader's subjective opinion. However, there are quite a few reasons to find Portia appealing, and so it is certainly possible to see her as one of the most appealing characters of the play. She uses her wealth for good, for instance, by offering to repay Antonio's loan. When that doesn't work, Portia shows true ingenuity by disguising herself as a lawyer and outsmarting Shylock in court. Indeed, it would appear that, when compared to most of the men in the play, Portia proves herself to be truly superior, as she wields intelligence and a vast store of resources with confident authority. As such, one can't help but assume that it will be Portia, and not her husband Bassanio, who will be in charge. In recognizing these admirably feminist qualities, one can't help but regard Portia as one of the most appealing characters in the play.  

The play does not present any specific reason as to why Portia fell in love with Bassanio, but we can gauge from what the characters say that she had a particular affection for him. Bassanio, in Act 1, scene 1, for example, has this to say about her as far as her feelings go, when he approaches Antonio for a loan: In Belmont is a lady richly left;... ...sometimes from her eyes I did receive fair speechless messages: Her name is Portia,... He states that he was encouraged by the looks Portia gave him. She gave him a clear indication that she liked him by looking at him in an affectionate and appreciative manner. Later, in scene 2, Portia and Nerissa, her hand-maiden, also make positive references to Bassanio: NERISSA Do you not remember, lady, in your father's time, a Venetian, a scholar and a soldier, that came hither in company of the Marquis of Montferrat? PORTIA Yes, yes, it was Bassanio; as I think, he was so called. NERISSA True, madam: he, of all the men that ever my foolish ...

These are two connected business ventures.  “Travel” involves moving a person from one location to another, for whatever reason:  business, family visit, etc.  It deals with several businesses, mainly the means of travel: plane, rental car or truck, train, etc.  “Tourism,” on the other hand, is a business that caters to visitors to a specific site: a picturesque city, a natural site, a historic setting, etc., and entails accommodations, meals, tour guides, souvenirs, and a myriad of other businesses. Because tourism involves specific locations, the city or site normally has a centralizing tourist agency or department whose job is to coordinate all of the income-producing activities, including accommodating visitors to special events (sports events, for instance). Obviously, this will include travel opportunities.  The “travel business,” then, becomes part of the “tourist business” in instances where the motive for traveling is to “be a tourist.”

King Hamlet (Hamlet Jr's father): Claudius (his brother and Hamlet Jr's uncle) kills him by pouring poison in his ear. Polonius: Polonius is stabbed through a tapestry by Hamlet.  Ophelia: Ophelia drowns after Hamlet seems to reject her while acting mad. It is implied that this is suicide. Gertrude: Claudius attempts to poison Hamlet, but Gertrude drinks the poison instead. Claudius: Claudius is stabbed with a poisonous sword, then is forced to drink the rest of the poison that Gertrude drank (the poison had been meant for Hamlet). Laertes: Laertes is stabbed with a poisonous sword. Hamlet: Hamlet is stabbed with a poisonous sword. Rosencrantz and Guildenstern: The two men are executed when they return to England. Hamlet gives them a note to deliver that actually orders their deaths by Claudius.  

The Introduction of the book provides background information on the Jesuits in Canada and on Iroquois and Algonquins whom they tried to convert. The Relations were annual reports that the missionaries sent home to Paris from 1632 to 1673 about their success in converting the Native Americans they encountered. The main idea of the Introduction is that even though the Jesuits intended to convert the Native Americans, they lived with and among them for years and came to know them well. As Greer writes about the Jesuits, "they came to know native peoples as few other Europeans did" (page 1). Also, as the Jesuits were skilled and prolific writers, they left what Greer calls "the most important set of documentary materials on the seventeenth-century encounter of Europeans and native North Americans" (page 1). In other words, the Relations provide unparalleled information about the Native American tribes in New France and their interaction with Europeans. Greer provides ...

In any poem, tone is the poet's attitude towards the subject. As such, the tone of Legacy II is one of regret. The poet feels that he lacks the wisdom his grandfather had been blessed with when he was alive. The poet describes his grandfather as a "quiet man" who "talked about simple things" when he still lived. He reminisces about the time when his grandfather taught him the names of the four directions in Spanish. At the time, it had seemed like such a simple, pointless lesson to the poet, but he now regrets that he never learned the true message of the lesson. His grandfather was trying to teach him that, in life, every man must know where he is and where he's headed. This awareness is imperative for his survival and his happiness in an uncertain world. Thus, the theme of the poem is that, to be successful in life, a man must know who he is (his roots and personal values) and what he aims to achieve. The poet realizes that, in order to gain wisdom, he mus...

The first chapter of this book concerns the myth of "exceptional adventurers," which is the idea that several countries, including America, were discovered because of a few brave heroes venturing out into the great beyond. This idea, the author says, prevents any credit to the natives of so-called "discovered" countries for their own ideas and innovations. Explorers like Columbus were not unique heroes, but merely men who were employed by the Spanish government to seek out new conquests. This was a routine job given to many others, and certain ones became famous by the luck of the draw, such as Pizarro and Cortes. Their "routine conquests" became important to history later on, and attached to their names rather than to Spain as the employer who had sent them on their missions.

Kwanzaa is traditionally celebrated after Christmas; it lasts from December 26 to January 1. Created by Maulana Karenga, a black activist, Kwanzaa is a festival derived from the civil rights movement, and it pays homage to the global African community. Kwanzaa is a composite of several African harvest traditions, and it celebrates seven principles (or Nguzo Saba ): Umoja (Unity), Kuji-chagulia (Self-determination), Ujima (Collective Work and Responsibility), Ujamaa (Cooperative Economics), Nia (Purpose), Kuumba (Creativity), and Imani (Faith). The above principles are celebrated in order during the seven-day festival. On each day, one of seven candles or Mishumaa Saba is lighted. Mishumaa Saba consists of three green candles, three red candles, and one black candle. On the first day of Kwanzaa (December 26), the black candle (symbolizing Umoja or unity) is lighted. As a rule, the Mishumaa Saba (seven candles) are placed in the kinara (candle holder), and the kinara is then...

To evaluate the equation `log_6(3x-10)=log_6(14-5x)` , we apply logarithm property: `a^(log_a(x))=x` . Raised both sides by base of `6` . `6^(log_6(3x-10))=6^(log_6(14-5x))` `3x-10=14-5x` Add `10` on both sides. `3x-10+10=14-5x+10` `3x=24-5x` Add `5x ` on both sides. `3x+5x=24-5x+5x` `8x=24` Divide both sides by `8` . `(8x)/8=24/8` `x=3` Checking: Plug-in `x=3` on `log_6(3x-10)=log_6(14-5x)` . `log_6(3*3-10)=?log_6(14-5*3)` `log_6(9-10)=?log_6(14-15)` `log_3(-1)=?log_3(-1) FALSE` A logarithm `log_b(x)` is undefined for `xlt=0` . Thus, the `x=3` is an extraneous solution of the given equation `log_6(3x-10)=log_6(14-5x)` . There is no real solution .

Machiavelli approached his political treatise The Prince as a primer for rulers of various types of political entities extant in Italy during his time, the early 16th-century. He uses the term "states" to describe these political entities, which ranged from hereditary kingdoms to Republics and city-states found among the political amalgam of Italy at that time (which wouldn't become a unified nation until the late 19th century). Machiavelli's overarching theme in The Prince is the notion that rulers, even those elected by democratic means (though those means were often restricted to election by a limited number of citizens at that time, mainly the powerful), could not rule in the abstract, i.e., they could not effectively rule via idealistic notions that involved broad participation in decisions by those who were ruled. Machiavelli inveighed against the notion that rulers should be transparent and entirely honest to those who were ruled, and in fact often must adopt s...

We have a Science tutor online right now to help you! To chat with a tutor, please set up a tutoring profile by creating an account and setting up a payment method. If you initiate a chat, please note you will be charged $0.50 a minute for tutoring time.

Mary Malone's character is well-described through direct characterization all throughout the story "Lamb to the Slaughter." This direct characterization occurs each time the author describes Mary physically and in detail. An example of direct characterization is  Her skin -for this was her sixth month with child-had acquired a wonderful translucent quality , the mouth was soft , and the eyes, with their new placid look , seemed larger darker than before. To extrapolate character traits, you can use direct characterization as well as indirect characterization.   Indirect characterization occurs when the author describes behaviors and reactions in the character. From such behaviors and reactions, the reader can deduct more facts about the character than the author lets on.  An example of indirect characterization is:  She knew he didn't want to speak much until the first drink was finished, and she, on her side, was content to sit quietly, enjoying his company aft...

Shakespeare uses magic in A Midsummer Night's Dream to allow characters to act upon revenge as well as to allow characters to create unity . In both cases, magic is used to reveal truth about human nature , even with respect to the fairies, who also have very human-like natures. Oberon first tells Puck to use the magic flower struck by Cupid's arrow in a way that will allow Oberon to revenge himself on his wife , Titania. Oberon feels jealous because Titania is showering so much affection on a changeling, a changeling that Oberon actually wanted for himself. The juice of the flower will allow anyone sleeping to fall in love with the first living creature he/she sees upon waking. Puck craftily uses his own magic to give the actor Bottom the head of a donkey, symbolic of Bottom's arrogance and stubbornness , then uses the juice of the flower to make Titania fall in love with a man who has the head of a donkey. While Puck's use of magic serves to reveal to Bottom the a...

Friar Laurence makes several important decisions during the course of Shakespeare's Romeo and Juliet . First, he decides to marry Romeo and Juliet because he believes it will end the often violent feud between the Montagues and Capulets. Second, he makes a conscious decision to advise Romeo to slow down in his love for Juliet. He tells Romeo, "Wisely and slow. They stumble that run fast." Third, in Act III, Scene 3, he decides that once Romeo has spent some time in Mantua he will announce that Romeo and Juliet are married, attempt to reconcile the families and beg the Prince's pardon so Romeo may return to Verona. Fourth, he makes the unfortunate decision that Juliet should take a potion and fake her death. His plan is for the girl to appear dead so the family will take her to the Capulet tomb where Romeo will retrieve her when she awakens. Fifth, he decides to give the message informing Romeo of his plot to Friar John to carry to Mantua. Friar John is delayed in Vero...

The major difficulty in answering this question has to do with defining liberal. The term is thrown around somewhat at random in U.S. politics, and means something quite different than classical liberalism or neoliberalism, which in most other western countries are considered similar to the philosophies espoused by many "conservative" or Tory parties. For example, neoliberalism advocates free market economies while, for example, many people called "liberals" in the United States advocate strong government regulation and intervention in the economy. There is one aspect of Aristotle's theory of political association that most modern people, including liberals of all stripes and almost anyone not a member of a neofascist political movement, would find objectionable. This has to do with Aristotle's theory of "natural slavery." Aristotle believes that some people are "natural" masters and others are "natural" slaves. The former are h...

Jonathan Swift was an Irish author, satirist, and clergyman who was born on November 30, 1667, and who is best known for writing Gulliver’s Travels and “A Modest Proposal.”  Both of these works emanate from a lifetime of clerical, political and religious service that shaped his famous parodies of society.  Jonathan Swift was the son of Jonathan Swift, Sr., who was a steward of the King’s Inn in Dublin, and Abigail Erick, who was the daughter of an English clergyman.  However, the elder Jonathan Swift died several months before his son was born.  Further, it is later suspected that Swift suffered from Meniere’s Disease, a condition of the inner ear that causes nausea and partial deafness.  This led Abigail to leave her two children—Jonathan and his older sister—to the care of their uncle Godwin Swift in Ireland while she returned to her family in Leicester, England.  In 1673 at the age of six, Swift attended Kilkenny Grammar School, which was reportedly the best in Ireland at the time....

First lets find the bounds of integration. When looking at the graph the furthest that the lamina is bounded on the y-axis is where the curves interest. Lets find those points. `y+2=y^2` `0=(y+1)(y-2)` Therefore the y bounds are y=-1 and y=2. Then we will integrate between the furthest right curve (x=y) and the furthest left curve. The center of Mass is: `(x_(cm),y_(cm))=(M_y/M, M_x/M)` Where the moments of mass are defined as: `M_x=int int_A rho(x,y)*y dy dx` `M_y=int int_A rho(x,y)*x dy dx` The total mass is defined as: `M=int int_A rho(x,y)dy dx` First, lets find the total mass. `M=int^2_-1 [int^(x=y+2)_(x=y^2) rho dx] dy` `M=rho int^2_-1 [(y+2)-(y^2)] dy` `M=rho [(1/2)y^2+2y-(1/3)y^3]|^2_-1` `M=9/2 rho` Now lets find the x moment of mass. `M=int^2_-1 y*[int^(x=y+2)_(x=y^2) rho dx] dy` `M=rho int^2_-1 y*[(y+2)-(y^2)] dy` `M=rho int^2_-1 (y^2+2y-y^3) dy` `M=rho ((1/3)y^3+y^2-(1/4)y^4)|^2_-1` `M_x=9/4 rho` Now the y moment of mass. `M=int^2_-1 [int^(x=y+2)_(x=y^2) rho x dx] dy` `M=rho...

Methyl orange is one of the commonly used acid-base indicators (the others being phenolphthalein and litmus). Its primary purpose is to indicate a specific pH. In general, indicators are used to indicate the end of a reaction and they do so by changing the color of the solution. Hence, they are also known as color change indicators. In the case of methyl orange, it provides yellow color in alkaline and neutral pH conditions . It changes its color to orange-yellow at a pH of about 4.4 and then changes color to red at a pH of 3.1.  Methyl orange is commonly used in water quality testing for measuring the amount of acidity or alkalinity in a given water sample. It is also used in the textile industry for dyeing and printing purposes. Hope this helps. 

This incident is related in Chapter VIII of Three Men in a Boat . The narrator refers to an evening when he and his friends were at a party and everyone in attendance was happy and was having a good time. That is, everyone except for two young students who had just come back from Germany. The narrator describes them as seeming restless and uncomfortable, as if they found the proceedings slow. The truth was, we were too clever for them. Our brilliant but polished conversation, and our high-class taste, were beyond them. They were out of place, among us. They never ought to have been there at all. Everybody agreed upon that, later on. The two young men decide to play a trick on the rest of the party-goers, most likely in an effort to take everyone down a peg and to embarrass the whole group, as revenge for feeling out of place. They boast that Herr Slossenn Boschen, a fellow guest at the event, could sing a song that would amuse the audience greatly. Herr Boschen then sings it in German,...

The short answer is that the dwarf that lives in the Brobdingnagian court hates Gulliver because Gulliver has usurped his place as the shortest person in Brobdingnag.  Gulliver says that the dwarf, upon meeting a creature that was even smaller than he, grew so "insolent [...], that he would always affect to swagger and look big as he passed by [Gulliver] in the queen's antechamber [...]."  Gulliver would often stand on tables to speak with the courtiers, and the dwarf would strut by him, trying to look really big, and he would usually employ sarcasm or insults to deride Gulliver for his littleness.  Gulliver really has no recourse other than to call the dwarf "brother" and try to avoid him whenever possible.  In his anger, the dwarf actually drops Gulliver into a bowl of cream for fun, and Gulliver nearly drowns.  At another point, the dwarf jams Gulliver's lower half into a bone from the queen's table, tearing up his pants.  For this, the dwarf was whip...

The equations of motion is to find the Euler-Lagrange equations. These equations have the form: `d/dt (dL)/(d (dq)/(dt))=(dL)/(dq)` First, `(dL)/(d (dq)/(dt))=(d)/(d (dq)/(dt)) [ 1/2 A ((dq)/(dt))^2-Bq^2]` `(dL)/(d (dq)/(dt))= A (dq)/(dt)` Now, `(dL)/(dq)=(d)/(dq) [1/2 A ((dq)/(dt))^2-Bq^2]` `(dL)/(dq)= -2Bq` Now simplify the Euler-Lagrange equation. `d/dt (dL)/(d (dq)/(dt))=(dL)/(dq)` `(d/(dt))A (dq)/(dt)=-2Bq` `A (d^2q)/(dt^2)=-2Bq` `(d^2q)/(dt^2)=(-2Bq)/A` This is the equation of motion. The acceleration is proportional to the position. The exact equation for the position of the particle as a function of time can be found from solving this differential equation. The solution to this equation has the general solution of `q(t)=q_0Cos(sqrt((2B)/A) t+phi)` This is the Where `q_0` and `phi` can be found from initial conditions.

Yes. At the beginning of the novel, Amir sits idly by and witnesses Hassan get raped, then plants money and a watch underneath Hassan's bed to make it look like Hassan stole from him. Amir's actions force Ali and Hassan to leave their home which ends Baba's long friendship with Ali. Throughout his life, Amir is plagued with guilt for his actions until he gets a call from Rahim Khan telling him that there is a way to be good again. When Amir travels to Pakistan to speak with Rahim Khan, Rahim tells him about Hassan's son, Sohrab. Amir accepts the challenge to find Sohrab in Afghanistan and give him a new home with two Christian missionaries living in Pakistan. Amir atones for his past wrongs by facing off against Assef one on one in order to leave Afganistan with Sohrab. Amir almost dies during the fight, but is fortunately saved by Sohrab, who uses his slingshot to knock out Assef's eye. After Amir recovers from his severe injuries, he attempts to adopt Sohrab onl...

Cassius is nervous that Popilius might tip someone off about their impending assassination. The assassins surround Caesar with a plea for Cimber, and Caesar blows them off. The conspiracy to assassinate Caesar is a secret, and the men have been planning for over a month. With that many people involved and that amount of time, there is always a risk that something could go wrong. Someone could find out and tell Caesar, and the game would be up. In fact, Artemidorus does try to warn Caesar, but he is too late and Caesar ignores him. When the conspirators are approaching the senate’s meeting at the capitol, Popilius Lena tells Cassius that he wishes him luck with his “enterprise.” This spooks Cassius and Brutus both, who worry that Popilius is going to tell on them. BRUTUS What said Popilius Lena? CASSIUS He wish'd to-day our enterprise might thrive. I fear our purpose is discovered. (Act 3, Scene 1)  He doesn’t. Apparently Popilius really does just hope that the assassins succeed. He...

In this text, it seems as though Shakespeare is trying to convey the idea that love is an incredibly powerful emotion that can overwhelm a person, just as hate or any other very passionate feeling can.  You could also argue that Shakespeare is trying to convey the idea that love and hate are equally powerful feelings that have the power to overwhelm and consume us.   Immediately, the love at first sight experienced by Romeo and Juliet compels Juliet to say, "O Romeo, Romeo! Wherefore art thou Romeo? / Deny thy father and refuse thy name. / Or, if thou wilt not, be but sworn my love, / And I’ll no longer be a Capulet" (2.2.33-36).  She would ask that Romeo give up his family and his own identity in order to be with her, or, if he is unwilling to do so, she is willing to give up her own family and identity to be with him.  This love they feel inspires her to reject everything she knows, just to possess it.  And Romeo is likewise willing, saying, "I take thee at thy word. /...

H3PO4 is also called phosphoric acid.  It is a strong mineral acid, meaning that under the right conditions it readily dissociates into two separate ions: a proton (H+) and the conjugate base (H2PO4)-.  This is depicted in the chemical equation below: H3PO4 --> (H+) + (H2PO4)- A strong acid readily undergoes this dissociation to form free protons under the right conditions.  This means that the phosphoric acid has to be in a medium that stabilizes the charged species produced in the chemical equation.  Since "like dissolves like", a highly polar medium is required to promote the dissociation of strong acids.  Water is a highly polar medium, so strong acids like phosphoric acid readily dissociate to form protons in water.  Concentrated sulfuric acid (H2SO4) is 98% pure, meaning it only contains 2% water content.  This means that the phosphoric acid is less prone to dissociate in the sulfuric acid than in the pure water. All of this means that phosphoric acid in water is mor...

In "The Scarlet Ibis," author James Hurst appeals to the senses in order to create a foreboding and tension-filled mood. The first line of the story reads, "It was in the clove of seasons, summer was dead but autumn had not yet been born, that the ibis lit in the bleeding tree." Immediately, description and contextual clues appeal to the senses—for instance, a footnote says that the bleeding tree is native to the South, so the reader can apply that summers in the South are sticky and humid. But that summer heat is described as giving way to cooler autumn, creating a unique sensation of hot and cold. Hurst goes on to name multiple types of flowers such as magnolia and phlox, and says that "their smell drifted across the cotton field" (page 1). The reader can feel the heat, smell the flowers, and see the cotton field that surrounds the narrator's house.  As the story progresses, these beautiful descriptors become rather oppressive and ominous. The smell ...

The power of the federal government grew as a result of the Civil War. One of the causes of the Civil War was a difference of opinion over whether the federal government or the state governments should have more power. The North believed the federal government should have more power. Once the Civil War ended, the southern states were still not a part of the Union. The federal government was in charge of Reconstruction. Congress created the Freedmen’s Bureau to help African-Americans adjust to freedom. It also passed the Civil Rights Act of 1866 that gave African-Americans full citizenship. New amendments to the Constitution were passed that ended slavery, determined who would be a citizen of the United States, and guaranteed voting rights for people regardless if they were slaves in the past or what their race or color was. The southern states were told they had to approve the 13th and 14th amendments before they would be readmitted to the Union. The Reconstruction Act of 1867 set the ...

The sergeant-major is world-weary and Mr. White is quite unworldly. Sergeant–Major Morris arrives at the White home after having traveled around the world. He has spent twenty-one years in military service; much of his time has been India, where he procured a monkey's paw from a fakir. It is with much chagrin that the sergeant mentions this talisman when he visits the White's home. There Mrs. White remarks, “He don’t look to have taken much harm,” but when the sergeant speaks in "grave tones" of his ownership of the paw, his teeth clatter against the glass from which he drinks. Despite the sergeant-major's tone and his apparent discomfort in recalling what he has experienced, Mr. White naïvely asks the soldier, "What do you keep it [the paw] for?" The sergeant tells his old friend that he does not know; he had hoped to sell it, but people want to try it out first. Then, the soldier tosses it on the fire but Mr. White retrieves it. His friend tells him,  ...

After a substance undergoes a physical change , the resulting product is still the same substance you started with. For instance, if you tear a piece of paper into hundreds of smaller pieces, you have only changed it physically. It is still the same paper—only the size of the pieces have changed. When water is found as ice (solid), liquid water (liquid) or water vapor (gas), it is still the substance water. These changes are merely physical changes which have changed the state the matter is in, but the water is not changed in any way chemically because it is still has the formula H2O. Mixtures are another example of a physical change, like saltwater. By boiling it, the salt remains in the pot but the water evaporates and can be recaptured as pure water. A chemical change involves a chemical reaction. Here, one set of chemicals undergo a reaction to form a different set of chemicals which are known as the products.  Sometimes, a chemical reaction may require an input of energy known ...

Native Americans fiercely resisted white-American intrusions on their lands and heritage. Two groups, in particular, fought with bravery and distinction. The Sioux and Apache Indians fought against American expansion during the second half of the 19th Century. The Sioux, which was a confederation of three linguistically distinct groups, had migrated West from Minnesota in the 17th Century. They adapted to the use of the horse as well as any Native group and were fierce warriors. In 1854, 19 American soldiers were killed by the Sioux at Fort Laramie in Wyoming . This event inspired thirty years of conflict between the Sioux and the U.S. Army. The conflict had its fair share of Sioux victories.  A major Sioux victory was the 1876 Battle of Little Big Horn.  In this battle, Sioux warriors led by Chief Sitting Bull defeated the American army of General George Custer. Despite the bravery and skill of the Sioux warrior, the odds were stacked against them in terms of a total victory over the ...

The main character of "Sonny's Blues" is the narrator, who tries to come to terms with what has happened to his brother. At the outset of the story, after he hears that his brother has been arrested for selling heroin, the narrator says, "I couldn't believe it: but what I mean by that is that I couldn't find any room for it anywhere inside me." The story revolves around the narrator's attempt to make sense of what has happened to his brother by going back into their past and then watching his brother play music, an experience that helps the narrator understand who his brother is and what he values. If Sonny had told the story, it would have been very different. Instead of Sonny's brother trying to figure out Sonny, Sonny could have told his own tale of what happened. Sonny would've explained what drove him to do drugs and how the narrator, his brother, and his family had not understood him. He would have perhaps included other reasons why he ...

The referenced video depicts the Athenian tradesmen presenting their play of "Pyramus and Thisbe" to the lovers and the Duke who have just been married. The play within the play is found in Act V of  A Midsummer Night's Dream by Shakespeare. The performance in this video is funny and entertaining as Shakespeare probably envisioned. The reason Shakespeare has average men acting out a play for the Duke and Duchess on their wedding day is because  A Midsummer Night's Dream is a comedy. "Pyramus and Thisbe" is hilarious because the tradesmen are not professional actors; therefore, their execution of it is slow, mechanical, forced, and clumsy. All of these things make it funnier than it would be if professionals would have played it. For example, in the referenced video, Snout, who plays the wall, is very slow of speech. His voice seems as if he is trying as hard as possible to remember his lines; but, he tends to struggle with them because he is not a highly e...

Blood can be referred to as a red river of life . Both blood and a river are liquid. In an organism, blood flows throughout the body transporting nutrients, oxygen and carrying away wastes. It is a tissue composed mainly of water with cells suspended in it. Blood follows a specific pathway through the body in the same way a river flows on its journey towards the sea along a specific pathway. There are arteries, veins and capillaries in the body which allow blood to flow to all parts of the body. This can be compared to all the tributaries, streams, etc. in an area that make up the transport system of a river. A river is made of water with dissolved nutrients, oxygen and other substances just like blood which maintains the life of the organisms that live within in. When the river meets the sea, it deposits salts along with other nutrients to the ocean which help to replenish the supply of inorganic and organic substances therein. If part of a river system becomes blocked, the pathway of...

I can think of two major differences between the cultures of North and South American indigenous populations. First, North American indigenous populations were far more mobile than those in South America. As far as we are able to discern from archaeology and historical studies, First Nations peoples of North America practiced a hunter-gatherer subsistence lifestyle. They might spend one season in one region, hunting deer or catching fish, and travel during another season for the purpose of gathering wild foods like berries. Some First Nations tribes did practice small-scale subsistence agriculture, but nothing like that of South American tribes. In South America, life was far more centralized to city-kingdoms. In fact, several prosperous and highly stratified societies developed in South America. For example, the Inca empire had a range of very wealthy elites to (relatively) poor laborers. Wealth became concentrated in the capital city of Cuzco, as people were required to send goods to...

Take note that acceleration is the rate of change of velocity with respect to time. So to solve it, take the difference between the initial and final velocity. Then, divide it by time it took for the velocity to change from its initial to final value. `a= (Delta v)/(Delta t)` `a= (v_f - v_i)/(Delta t)` `a=(24 (km)/(hr) - 0(km)/(hr))/(3s)` `a= (24 (km)/(hr))/(3s)` In order for the unit to be consistent, change the time from seconds to hours. `a= (24 (km)/(hr))/(3s* (1hr)/(3600s))` `a= (24 (km)/(hr))/(1/1200hr)` `a = 28 800 (km)/(hr^2)` Therefore, the acceleration is `28800` `km//hr^2` .

The speaker of a poem is referred to as the persona .  Although as readers we often imagine a poem to be narrated by the author himself, that is not always the case.  In The Mending Wall , Robert Frost has created a character--a persona separate from himself--to narrate. We have here an English country landowner facing the sorry spring task of replacing all the fallen parts of his stone fence, so he is not in the most cheerful of moods.  Yet he is not one to overtly complain about things, and clearly he is a hard worker, since he is out there doing it, despite his belief that the fence is unnecessary.  In fact, it seems that the only reason he comes out each spring to repair it is at the wish of his neighbor, who keeps pace with his repairs on the opposite side because he believes that “‘Good fences make good neighbors.’” Rather, our narrator is logically questioning the why of it.  He is open-minded to changing the tradition of keeping a fence between their two properties. The neighb...

The house will never realize its inhabitants are gone. It does not have consciousness.  The house is a robot.  It is sort of like plugging in your television.  You could leave your television on and never come back.  Your television is not going to realize you are gone and turn itself off or take some other action. It is a television.  It cannot think. The house is doing what it is programmed to do.  It will continue as long as it has power and resources or does not become corrupted.  This means it will keep making breakfast until there is no more food. It will keep making announcements until no more are registered. The house does seem to have some sense of self-preservation, meaning it wants to remain “alive” and functioning. Until this day, how well the house had kept its peace. How carefully it had inquired, 'Who goes there? What's the password?" and, getting no answer from the only foxes and whining cats, it had shut up its windows and drawn shades in an old-maidenly p...

`sum _(n=0)^oo (x+1)^n/(n!)` To determine the interval of convergence, use Ratio Test.  The formula in Ratio Test is: `L = lim_(n->oo) |a_(n+1)/a_n|` If L<1, the series is absolutely convergent.  If L>1, the series is divergent. And if L=1, the test is inconclusive. The series may converge or diverge. Applying the formula above, the value of L will be: `L= lim_(n->oo) |((x+1)^(n+1)/((n+1)!))/((x+1)^n/(n!))|` `L=lim_(n->oo) | (x+1)^(n+1)/((n+1)!)*(n!)/(x+1)^n|`  `L= lim_(n->oo) | (x+1)^(n+1)/((n+1)n!) *(n!)/(x+1)^n|` `L = lim_(n->oo) | (x+1)/(n+1)|` `L= (x+1) lim_(n->oo) |1/(n+1)|` `L=(x+1) * 0` `L=0` Since the value of L is less than 1, the given series converges for all values of x. Therefore, the interval of convergence  is `(-oo, oo)` .

The agrarian economy in the South was largely composed of subsistence farmers who may or may not own their own plots. They used hired help, their own children, or maybe even rented a slave to get through the busy periods of planting and harvest. The larger planters produced one cash crop, mainly tobacco, rice, or cotton, with cotton overtaking the others when Eli Whitney invented the cotton gin in 1793. Large plantations were often located near rivers in order to get crops to market faster. While the large planters made up a tiny minority of Southern society, their political control was quite strong, and they were wealthy in terms of land ownership. The Lower South—Mississippi, Alabama, Georgia, South Carolina, and Louisiana—produced much of the nation's cotton, as cotton required fertile land and a long growing season. After the Mexican-American War, planters flocked to East Texas to take advantage of its flat, fertile ground and adequate rainfall. These areas also produced much o...

Grendel appears to despise men, and want them all dead; not just Hrothgar's men, but Beowulf and his group as well, and presumably the rest of humanity. The exact reason for Grendel's anger isn't explicitly detailed, but it appears that Grendel was able to hear the revelry and praise taking place in Heorot, and it grieved him with jealousy to hear people praising God, when Grendel had been cast out of God's grace by virtue of his being a descendant of Cain. We might imagine that Grendel felt slighted and mocked by the simultaneous attraction and exclusivity of Heorot, and so his hatred was born of his inability to share in its glory.  At several other points we learn that Grendel feels no remorse or hesitation over his murders; in fact, he seems to enjoy them. The murders "grieved him not," for he was too familiar with death and violence, and his "heart laughs" at the thought of eating Beowulf's men. These villainous characterizations are probabl...

In Chapter 11, T.J. comes to Stacey for help after R.W. and Melvin Simms beat him up. The Simms brothers told T.J. that they were going to get a pistol from Mr. Barnett's store and that they were going to pay for it later. T.J. did not realize their true intent, which was to rob the store. When the Barnetts wake up, R.W. hits Mr. Barnett on the head, and Mrs. Barnett falls backward into a stove. T.J. wants to tell people what happened, but the Simms brothers react by beating T.J. up and leaving him in the back of their truck. Stacey decides to help bring T.J. home because he knows that T.J. isn't lying. In addition, Stacey realizes that T.J. was unfairly duped into robbing the store with the Simms and that the assault on Mr. Barnett was not T.J.'s fault. Stacey realizes that T.J. has been unfairly brought into a dangerous situation because the Simms brothers lied to T.J. and tried to manipulate him. 

The author of "The Monkey's Paw" uses the words and behavior of Sergeant-Major Morris as ominous foreshadowing of what is likely to happen to the person who possesses the mummified paw on which an Indian fakir supposedly placed a spell. Here are a few examples of how Sergeant-Major Morris foreshadows what is to come. "The first man had his three wishes. Yes," was the reply; "I don't know what the first two were, but the third was for death. That's how I got the paw." "If you don't want it, Morris," said the other, "give it to me." "I won't," said his friend, doggedly. "I threw it on the fire. If you keep it, don't blame me for what happens. Pitch it on the fire again like a sensible man." "Hold it up in your right hand and wish aloud," said the sergeant-major, "but I warn you of the consequences." The reader is certainly prepared to expect something very bad to happen if Mr...

Lady Macbeth's character can teach us that guilt can slowly eat away at a person and that it is nearly impossible to live happily with a guilty conscience.  Although Lady Macbeth appeared to be completely without scruples during the planning of Duncan's murder and then remorseless after the murder is complete, we see her guilty conscience return to plague her in Act 5, scene 1.  She can no longer sleep peacefully, and even her relationship with her husband has begun to suffer (which we see as early as Act 3).  It seemed that she would be the one never to feel regret, but as more time goes by after the murder, her guilt slowly eats away at her, compromising both her sleep and her sanity.  She relives the night of the murder over and over while she sleepwalks, believing that Duncan's blood is still on her hands, that it will never come off.  This figurative blood on her hands represents how her participation in his murder is still affecting her conscience.

We are asked to graph the following function: `y=log_(1/5)(x)` The domain is x>0 and the range is all real numbers. The graph is decreasing and concave up on the domain. Some points on the graph: (1/25,2),(1/5,1),(1,0),(5,-1),(25,-2) The graph:

The ideal gas law is an idealized relationship between pressure, temperature, number of moles, and volume of a given gas. It is derived from the Kinetic Theory of Gases and relies on the assumption that: 1. Gases are comprised of a large number of atoms or molecules moving according to the laws of motions, 2. The atoms and/or molecules are negligibly tiny, and their size is almost nothing compared to the distance between neighboring particles, 3. The atoms and/or molecules are independent - i.e. they do not interact with each other, other than during elastic collisions, which happen instantaneously. According to the ideal gas law, PV = nRT, where R is the ideal gas constant, 0.0821 Latm/molK. At STP (standard temperature and pressure), T = 273.15K and P = 1 atm. We want to know the volume occupied by 14 grams of O2 at STP. The molecular weight is 32.0 g/mol (15.9994 * 2). Then, 14 grams is equivalent to  0.4375 moles. The volume, derived from the ideal gas law, can be calculated as fol...

The black box used for the annual lottery drawing was in dilapidated condition because it was so old. Shirley Jackson describes it as follows. The black box grew shabbier each year: by now it was no longer completely black but splintered badly along one side to show the original wood color, and in some places faded or stained. Mr. Summers, who is in charge of the lottery drawings, keeps asking for the villagers to present him with a new box, but he never gets his wish. This suggests that the people are secretly hoping that the lotteries will come to an end when the box becomes useless. If they were to chip in to provide a brand-new box, it would be tantamount to voting to continue the lottery drawings for another hundred years or so. They obviously loathe the black box which symbolizes the horrible final event they are all too familiar with. When Mr. Summers asks for some help in holding the box ...there was a hesitation before two men. Mr. Martin and his oldest son, Baxter. came forwa...