Notes

The overt theme is that of a newborn baby entering the world. Blake evinces the sounds, sights, and movements of that event: My mother groand [sic]! my father wept. . . Helpless, naked, piping loud. . . Struggling in my fathers hands. This is not a moment of joy, as indicated by the title "Infant Sorrow." The event of birth occurs from the perspective of the newborn, who expresses existential angst over being born: My mother groand! my father wept.  Into the dangerous world I leapt:  Helpless, naked, piping loud;  Like a fiend hid in a cloud.  The first sounds he hears are those of pain and weeping, which usually indicate sadness, not happiness. These aural signals suggest danger, but the infant does not shrink from this seemingly unwelcoming world—he leaps into it. There is contrast between the third and fourth lines. Though he is "helpless" and "naked," his voice "[pipes]" loudly, like that of a "fiend." He is fragile, yet also a pote...

The central conflict in Judy Blume's Blubber is actually a bit unusual because Jill, the protagonist, doesn't behave like a protagonist at all; she is instead much more of an antihero . A protagonist is the main character in a story who grows and changes as a result of overcoming the conflict; an antihero is a protagonist who doesn't have the typical characteristics of a protagonist, characteristics that make the reader love the protagonist such as "bravery, strength, charm, ingenuity, etc." ( "Anti-hero," Literary Devices ). Instead, Jill, the antihero, is a cruel bully and part of the in-crowd led by Wendy. When Wendy begins bullying obese Linda, Jill and the rest of the class follow suit. However, Jill does occasionally get into trouble for her actions though she never agrees to having been wrong. Since Jill gets into trouble but disagrees with the rest of society's view of right and wrong, we can call Jill's conflict a character vs. so...

The subtitle, “A Story of Wall Street,” appears to refer to the famous street in Manhattan, and would seem to support a particular reading of the story, in which Bartleby can be seen as an exploited worker, worn down by long service to the “machine” of capitalism. While this may be true, it’s not the only (or best) reading of the story. As you point out, the story is full of references to walls, screens, and blank views. The lawyer is at great pains to position Bartleby behind a screen; Bartleby’s window looks out only onto another wall; in fact, the whole architecture of the office seems designed to box Bartleby in and conceal him from view. Bartleby is as “blank” himself as the view out his window – the lawyer is never able to learn much about who he is or where he comes from. As the lawyer discovers when he finds that Bartleby has been living in the office, and persists there even after he relocates his office to another building, Bartleby has become part of the architecture, a kind...

The American involvement in Vietnam is widely considered to have been unjustified and disastrous. The U.S. became involved in the war because in the context of the Cold War, Vietnam was seen as a vital domino in the theory of the "domino effect," in which the conversion of one country in Asia to communism was viewed as liable to tip other countries in the region into communism.  Vietnam, which had long been colonized by France, was occupied by Japan during World War II. In 1945, when the Japanese forces left, Vietnam returned to French control. However, forces within Vietnam called the Viet Minh, which was an independence movement originally supported by the U.S. and China, came to oppose the French. Eventually, the Viet Minh lost American support and were supported by the Chinese. The French were dispelled from Vietnam after the battle of Dien Bien Phu in 1954, after the U.S. President, Eisenhower, refused to get involved in supporting the French resistance against Vietnames...

In this passage, Tom is reflecting on his memory of his sister Laura as someone who will never be able to move in the world as others do because of her shyness and lack of confidence about her appearance. She is a "candle" in a world "lit by lightning," and this metaphor describes her quiet beauty and gentle ways, that may not be noticed or appreciated among people who are louder, more talkative, more assertive, or more glamorous. Tom fancies himself one of the kinds of people who Laura can never really fit in with: he is talkative, confident, and has a sense of adventure. He also has a deep urge to get away from his mother and his upbringing, and he knows Laura will never be able to get away as he has done, and this fills him with guilt.  The lit candles are Laura's memory and the image of her Tom carries with him. He tries to distract himself with other things, but cannot forget her. He says "blow out your candles, Laura," and the stage directions of...

When you apply heat to a metal hydrogen carbonate (frequently known as a metal bicarbonate as HCO3- is a bicarbonate ion), it will decompose into the corresponding metal oxide, carbon dioxide gas, and water vapor. The balanced reaction for the decomposition of zinc bicarbonate is as follows: Zn(HCO3)2(s) --> ZnO(s) + 2CO2(g) + H2O(g) (When you write out the reaction, heat is written as a delta or triangle above the arrow in the equation.) The zinc bicarbonate decomposes to form solid zinc oxide, gaseous carbon dioxide, and water vapor. The water vapor is gaseous as it is formed but may condense at the opening of the test tube. This is a general rule for metal bicarbonates. However, sodium bicarbonate (baking soda) will decompose to sodium carbonate, water vapor, and carbon dioxide when heated instead of going to the metal oxide. The carbon dioxide formed is what causes baked goods to rise in the oven (in the presence of heat).

Shakespeare presents his female characters in a variety of ways in both tragedies and comedies. It is easier to specifically compare Macbeth to Much Ado About Nothing than to make generalizations. Macbeth has few female characters and is one of Shakespeare’s shorter plays. Lady Macbeth is one of his most famous women. Some admire her for her strength and pragmatism, while many paint her as a wicked, Eve-like character who brings about Macbeth’s downfall. She calls on evil spirits to fill her “from the crown to the toe top-full / Of direst cruelty!” Though she initially holds the power in her marriage, she eventually goes insane and dies. Other female characters include the androgynous witches who also lure Macbeth towards evil and Lady Macduff, Macduff’s ill-fated wife. These feminine characters are complex but powerless, unless they turn to the forces of darkness. Much Ado , on the other hand, features a number of strong women. Beatrice is an incredibly outspoken, witty, and indepe...

In this poem, Blake criticizes religious and governmental authority. He mentions the "Harlot's curse" in the final stanza. This refers to the spread of syphilis as a venereal disease in London at this time. When men would visit prostitutes, they would risk contracting syphilis. This would then lead to the potential for the man to give the disease to his wife and perhaps his own children. The "Infant's tear" refers to the resulting blindness of contracting the disease. But note that Blake is more critical of the sexual repression caused by church authority than he is critical of the man who cheats on his wife.  Since this poem outlines authorial oppression, Blake is trying to show how every individual is subject to certain dangers. The soldier risks his life for the greed of the royal leaders. So, in the second stanza, Blake repeats "every" to emphasize how every person is controlled and manipulated by their governmental and religious leaders. In e...

There are many ideas that run through  Macbeth  that reveal ideas about the human condition. I'll give you a couple of ideas: 1. The desire for more. Macbeth is a play about a man who to be king. He initially disregards the appearance of the witches he encounters ("You should be women, / And yet your beards forbid me to interpret / That you are so.") and is startled by the prediction that he will be the king. When the witches show that they'll leave, Macbeth begs them to stay and "tell me more." Even Banquo, who acts as a foil to Macbeth for most of the play, initially responds positively to the witches' prediction that his sons will be kings and asks whether he and Macbeth have eaten "on the insane root." This characteristic is present throughout the play in Macbeth's (and Lady Macbeth's) actions. 2. A desire to surpass boundaries While Macbeth wants to be king after the witches tell him it will be so, Lady Macbeth wants to move beyond...

`inte^x/((e^(2x)+1)(e^x-1))dx` Apply integral substitution:`u=e^x` `=>du=e^xdx` `=int1/((u^2+1)(u-1))du` Now let's create partial fraction template for the integrand, `1/((u^2+1)(u-1))=A/(u-1)+(Bu+C)/(u^2+1)` Multiply the equation by the denominator, `1=A(u^2+1)+(Bu+C)(u-1)` `=>1=Au^2+A+Bu^2-Bu+Cu-C` `=>1=(A+B)u^2+(-B+C)u+A-C` Equating the coefficients of the like terms, `A+B=0`    -------------------------(1) `-B+C=0`  -----------------------(2) `A-C=1`       -----------------------(3) Now we have to solve the above three linear equations to get A, B and C, From equation 1, `B=-A` Substitute B in equation 2, `-(-A)+C=0` `=>A+C=0`    ---------------------(4) Add equations 3 and 4, `2A=1` `=>A=1/2` `B=-A=-1/2` Plug in the value of A in equation 4, `1/2+C=0` `=>C=-1/2` Plug in the values of A,B and C in the partial fraction template, `1/((u^2+1)(u-1))=(1/2)/(u-1)+((-1/2)u+(-1/2))/(u^2+1)` `=1/(2(u-1))-(1(u+1))/(2(u^2+1))` `=1/2[1/(u-1)-(u+1)/(u^2+1)]` `int1/((u^2+1)...

We are asked to graph the function ` y=(-5x+2)/(4x+5) ` : There is a vertical asymptote at x=-5/4 . Since the degree of the numerator is the same as that of the denominator, there is a horizontal asymptote at y=-5/4. Thus the domain is `RR-{-5/4} ` while the range is `RR-{-5/4} ` . (An alternative way to write the domain and range is `(-oo,-5/4)uu(-5/4,oo) ` , or ` x ne -5/4, yne -5/4 ` .) The y-intercept is 2/5 and the x-intercept is also 2/5. Using division we can rewrite the function as `y=33/(16(x+5/4))-5/4 ` ; if we take the base function to be y=1/x, then the graph of the transformation is shifted left 5/4 units, down 5/4 units, and has a vertical dilation of factor 33/16. The graph:

A democratic republic is another name for a representative democracy. The United States, Japan, and most countries in Europe fit this bill. As opposed to direct democracy, which has only ever existed once, in Ancient Athens, and which requires the entire populace to participate in all decision making on an almost daily basis, representative democracies (republics) delegate the daily details of governance to officials elected by the populace at large. In a democratic republic, or representative democracy, the will of the people gets expressed through elections, and those representatives that get elected are entrusted by the voters to govern in a way that is consistent with the wants, needs and ideals of that representatives' constituents. This system is far more practical than direct democracy, for by delegating daily governance to elected representatives and a meritocratic body of technocrats, the general population can go about its daily business, thus creating a vibrant, diversif...

In "Just Lather, That's All," the central conflict is internal because it involves the barber and his dilemma over whether to kill Captain Torres. On the one hand, he wants to kill the Captain because he is a violent and brutish man. For example, the Captain describes the public hanging of four men as a "fine show." Moreover, the barber and the Captain are members of two opposing factions and, for the barber, this is a rare opportunity to kill his enemy. On the other hand, though, the barber has no such thirst for violence. In fact, he is opposed to the very idea of committing murder: "No one deserves to have someone else make the sacrifice of becoming a murderer." While the barber eventually decides against killing the Captain, it is this internal dilemma which drives the plot of the story.

In the poem Barbara Frietchie, a brave elderly lady defies the odds to challenge a victorious army who have the nerve to ride triumphantly through her village. Just before we, as readers, join the action, a major event has happened as the soldiers are on their way from taking the federal garrison in West Virginia. Of course they are jubilant about their win at Harper's Ferry and are victoriously proceeding towards Barbara's village of Frederick. Whittier vividly paints the landscape for the reader showing the countryside around the village. It seems to be a beautiful morning on that September day in 1862. Even though there is a war going on not far away, we hear of fruit filled orchards and golden corn meadows as the Maryland countryside enters the season of early Fall. We see in our mind's eye the church spires in the coolness of the morning, and can see apple trees and peach trees. All this is a reminder of the precious things the townsfolk hold dear and which may be thre...

Yeats paints a fairly clear picture of the nature of “The Lake Isle of Innisfree.” This place is a small green island that is surrounded by relatively peaceful lake waters, as opposed to the turbulent and crashing waves of an ocean. The resident can tend a small garden and can keep bees; so the land is suitable for some tilling and has many flowering plants. We know at least that crickets are present, and so are the songbirds called linnets. Nature is more prevalent here than the trappings of man are. Innisfree is already isolated, since it is an island. It’s so thinly settled that peacefulness reigns over man-made sounds. When you can hear crickets, bees, and light water lapping, you realize that no other noises are present to mask and overtake these faint sounds. The place is far enough away from civilization that the night sky is dark, without the interference of city lights. You can clearly see the glimmer of the stars and the planets when you walk out at midnight. The poet admires...

Throughout the novel, the character of Arthur "Boo" Radley is a shy citizen of Maycomb, Alabama who is unfairly discriminated against because of his taboo reclusiveness. Many rumors surround Boo Radley and children throughout Maycomb fear him. He is also the object of Jem, Dill, and Scout's fascination. As the novel progresses, Boo attempts to develop a friendship with the Jem and Scout by leaving them gifts in the knothole of his tree. At the end of the novel, Boo saves Jem and Scout's lives by wrestling Bob Ewell away from them during Bob's vicious attack. Scout finally meets Boo face to face following Bob's attack and realizes that Boo is actually a compassionate, shy individual. Boo's character serves several functions throughout the novel. Boo is identified as an innocent being who is treated unfairly by his family and the citizens of Maycomb. Atticus' metaphor of not killing mockingbirds applies to Boo Radley's character because Boo is repre...

Every reader will give a different answer to this question, and many of them will be perfectly valid. In  Stargirl , you can think of light as a symbol of joy, friendship and love, truth and knowledge, honesty, a beneficial connection with nature, and more. The important thing about analyzing the potential symbolism of light in this novel (or in any novel) is to find passages where light is mentioned, consider what they literally mean, and then consider carefully what they could figuratively mean. Let's check out some examples: 1. "And each night in bed I thought of [Stargirl] as the moon came through my window... I liked the feeling the moonlight gave me, as if it wasn't the opposite of day, but its underside, its private side..." For Leo, we see that he enjoys the light of the moon while he thinks about his strange new classmate. So perhaps for him, the muted, less intense light of the moon (compared to the sun’s light) symbolizes life’s mysteries to be explored. We...

In this story, Bradbury shows the dangerous side of technology. In this scenario of the future, people have let technology dominate their lives. As a result, they developed technological weapons capable of destroying civilization. The house is automated and self-sufficient. It's as if the house is an individual taking care of, and controlling, the family that lives (lived) there. As such, the house is personified by the author. In the first line, the voice of the house sings "as if it were afraid" when it is time to wake up the family: In the living room the voice-clock sang, Tick-tock, seven o'clock, time to get up, time to get up, seven o'clock! as if it were afraid that nobody would. Before the nuclear war, the house had been very efficient. "Until this day, how well the house had kept its peace. How carefully it had inquired, "Who goes there? What's the password?" The house answers the door just like a person would. The narrator later adds t...

Small neutral and soluble substances are able to travel across the membrane by the process of simple   diffusion . During simple diffusion, substances are able to pass unimpeded through the membrane along a concentration gradient . A concentration gradient occurs when there is more of the substance on one side of the membrane than the other. When substances travel along their concentration gradient, they travel from the side of the membrane where they are present in a higher concentration to the side of the membrane where they are present in a lower concentration. Transport across the membrane continues until the concentration of the substances is the same on both sides of the membrane. Examples : oxygen, carbon dioxide, most lipids. When water is transported across the membrane by simple diffusion, it is called  osmosis . There are several other processes that are used to transport substances across the membrane. These include: Facilitated Diffusion : Substances travel across the mem...

It must be noted, firstly, that Frederick of Pinchfield farm and Pilkington of Foxwood, were sworn enemies and could not tolerate one another. They both had, however, a similar response to the Rebellion. Both were 'thoroughly frightened' by what had happened on Manor farm and wanted to prevent a similar event from happening on their farms at all costs. They initially mocked the idea of animals running a farm all by themselves and said that the whole thing would be over within a couple of weeks.  They proceeded to spread vicious rumors about the farm, which they insisted on calling 'Manor Farm' instead of its new title, 'Animal Farm.' The two, for example, said that the animals were continuously fighting with each other and were also quickly dying of hunger. After some time, when it became clear that the animals were healthy and not starving, they changed their tune and started saying that there was a pervasive evil on the farm. The two farmers gossiped that the ...

Social media is not inherently bad. Rather, it can have both good and bad qualities, and it often falls on the user to make responsible decisions about using social media. While social media providers try their best to eliminate bad content from their websites and applications, their products are often designed in ways that make it easy to get by without notice. For example, a number of racist groups make use of Facebook's easy photo sharing and social networking as a way to spread their ideas and help racists get in touch with each other. Facebook tries their best to eliminate these kinds of user pages, but they often don't know such pages exist until they are reported by users. Social media helps friends and family stay in touch and can connect people to new ideas and experiences. Those are both really good things, and typically the reasons people sign up for social media. Unfortunately, it does come with the risk of exposure to negative aspects of society. In addition to rac...

Throughout the novel, Elie struggles to retain his humanity in the face of nearly insurmountable hardship. His outlook on life, faith, and humanity completely changes as he describes the horrors of living in a concentration camp. For example, his relationship with his father evolves as the child becomes the parent—Elie is forced to care for his father, when normally parents are meant to care for their children. Elie resents this, saying, "If only I could get rid of this dead weight." It is also incredible and horrifying to Elie that anyone could inflict the kind of pain on others that he experiences at the camp. He doesn't understand how anyone could treat other human beings like they are nothing, and he loses faith in the goodness of humanity.

No. Electromagnetic (EM) radiation is classified into a variety of categories that roughly correspond to certain properties, some of which are more arbitrary than others. This benefits humans because it allows us to understand and investigate how the natural world operates more precisely. The properties of amplitude and frequency are related to the behavior of waves, and EM radiation shares some similarities with waves, though the analogy is less than perfect. Amplitude describes the "height" of each wave, and roughly corresponds to the intensity. In terms of light, this would describe the number of photons per unit time that are in a certain region, but this has nothing to do with the way the radiation is classified. Frequency describes "waves per second," or basically, how many waves would strike a certain location in a given amount of time. In terms of light, however, this is a fixed value, because light always travels at the same speed, so the various categories...

Subcultures are groups whose norms and values are different from those of the wider culture. Examples include gamers or members of Alcoholics Anonymous (AA). For example, members of Alcoholics Anonymous have different norms and values than the rest of society. They abstain from drinking and often follow a 12-step process towards recovery, so they have different attitudes and practices than what might be typical in American society. Sociologist C. Wright Mills described the sociological imagination as the ability to “think yourself away from the familiar routines of everyday life," meaning that you could place yourself into another culture and understand how it might feel to live in that culture. Having a sociological imagination helps us understand different subcultures because to understand them, we have to suspend some of our typical norms and values and comprehend that their norms and values are different.

Della and Jim are compared to the Magi because, like the original three kings, this young woman and young man have sacrificed valuable and precious possessions of their own and given them willingly. All their acts are made from pure love and adoration. O. Henry injects his authorial comment that Della and Jim "are the Magi" at the conclusion of the story after noting that ...two foolish children in a flat...most unwisely sacrificed for each other the greatest treasures of their house. At this point O. Henry draws parallels between the three wise men and the young Dillinghams as they all have unselfishly given away their most precious gifts. And yet, the author declares that the young couple are the wisest of them because they truly understand the meaning of love that asks for nothing in return. Indeed, they are "the Magi."  

The first official patent for silk screen printing was issued in 1907 to a British inventor, although the process was developed in Song Dynasty China, and had been used in both England and America since the 1880s. The early British and American screen printers primarily used the method to print expensive wallpaper, stencils for block writing, and other decorative draperies. It wasn’t until the 1960s that Andy Warhol popularized the use of silk screen printing for artistic and consumer purposes. Until Warhol’s silk screen printed pop art appeared on the scene, silk screened products, such as expensive wallpaper, were confined to the homes of the elite. Warhol’s artistic influence resulted in silk screen prints being used for the posters, clothing, and other popular consumer products that permeate our culture today.

McRaney is primarily asking you to understand the various ways in which your brain limits your perspective and thus your decision-making abilities. The very heuristics and other cognitive processes that allow your brain to function efficiently can also lead to perceptual weaknesses. McRaney hopes to challenge your assumption that you can trust your own thoughts. By understanding the limitations of your thoughts, you can overcome them through more conscious thought efforts and hone your ability to see things objectively. Heuristics can be very helpful when it comes to processing events and experiences. The human brain can only process so much information at once, and heuristics categorize information and allow the mind to make reasonable predictions that save time and effort. For example, the availability heuristic allows your brain to solve problems more efficiently by calling to mind other events with similar themes. By drawing upon these experiences, you benefit from the accumulation...

In  1984 , Winston Smith must live a strictly monitored and horrendously bleak life--his apartment and the view from his window reflect this. He has a spartan apartment that is almost wholly dominated by a telescreen he can never ever turn off. As such, because the telescreen is able to both transmit and record audio and visuals, Winston has to constantly control himself even in the privacy of his own apartment.  "You had to live - did live, from habit that became instinct - in the assumption that every sound you made was overheard, and, except in darkness, every movement scrutinized."  Therefore, because Winston can never be sure when he is not being monitored, he needs to control his every sound and movement. He states that, though it is safe to have your back turned to a telescreen, "even a back can be revealing." In the above ways, Winston's apartment reflects how he must live a controlled life or face being punished by the Thought Police. It also plays into...

The Progressive opportunity was a period of time when the country was ready to make various social and political changes. Around 1900, muckrakers began to write about problems in various areas of our society. People were concerned about some of the issues that existed and were supportive of making reforms. Upton Sinclair wrote a book called The Jungle . The book described the unhealthy and the unsanitary conditions in the meat industry. This led to the passage of the Meat Inspection Act. This law required meat to be inspected by the federal government before it could be sold. The Pure Food and Drug Act also was passed when people realized companies were falsely labeling foods and medicines in order to make more money. John Spargo’s book called The Bitter Cry of Children led to changes in laws regarding workers. Laws were passed that outlawed child labor in certain industries and required children to attend school. When people realized that kids were being exploited, they were ready to...

The Duke, who narrates the poem, is an unreliable narrator. Thus in trying to determine the character of the Duchess, we have the problem that we cannot trust our only source of information. The basic facts of which we can be certain are that she was married to the Duke, that she was young and probably beautiful, that she died, and that the Duke is negotiating for a second wife. We can also assume that she was a member of the nobility. The Duke portrays her as flirtatious and disloyal. He objects to the way she "thanked men" and suggests that rather than favoring him, her husband, she treated him just like any other man rather than loving or respecting him as a husband. As readers, though, we cannot trust the Duke, who appears insanely jealous and paranoid and may well have had her murdered. She may well have been simply polite and pleasant. Eventually, we cannot determine her real character because we are not given an account by a reliable witness. 

Given the curve equations ,they are `y1=x^2-` -----(1) `y2=x^3` -----(2) to get the boundaries or the intersecting points of the curves we have to equate the curves . y_1=y_2 => `x^2 = x^3` => `x^2-x^3 =0` => `x^2(1-x)=0` => `x=0 or x=1` When  ` 0<=x<=1 , x^2 > x^3` and so the Area = `int (x^2 -x^3) dx ` [from 0 to 1]    = `int _0 ^1 (x^2 -x^3) dx `  = `[x^3/3 -x^4/4]_0 ^1` = `[1/3 -1/4]-[0-0] = (4-3)/12 = 1/12` so area of the region enclosed by the curves is = `1/12`

When the author describes the history of the feud between the two families, he notes that Georg and Ulrich wish misfortune on one another. They have continued this inherited feud simply out of tradition and out of a continued personal ill will for one another. But it would be an exaggeration (hyperbole) to say that "they had thirsted for one another's blood." It is possible that their mutual hatred is so great that Georg and Ulrich both wish each other dead, but that does not mean they have an actual cannibalistic thirst for human blood.  After they become trapped, Ulrich says his men are close behind and will arrive first. Georg says the same thing. Both men are being hyperbolic. Neither Georg nor Ulrich know how long it will be until either party reaches them:  Both men spoke with the bitterness of possible defeat before them, for each knew that it might be long before his men would seek him out or find him; it was a bare matter of chance which party would arrive first ...

According to Rosh, Daniel has a soft spot which holds him back from being the fierce, loyal Zealot that he could potentially become. After Simon brings Daniel the news that his grandmother is dying, Daniel returns to the village to find out that his sister is possessed by demons once again. Unlike the other villagers, who fear Leah, Daniel is sympathetic towards his sister. He remembers all of the fun times they had when they were younger and recalls her radiant personality. Daniel realizes that he needs to sacrifice his life on the mountain to return to the village in order to take care of Leah. Although he does not want to leave Rosh's band on the mountain, he cannot stand to see his sister in such a terrible condition. He feels like everything he's worked towards for the last five years has been threatened by her. Instead of making weapons and robbing caravans for Rosh, he will have to provide for Leah in the village. After his grandmother dies, Daniel travels back up the ...

Bob realizes that the man with whom he talks is not Jimmy Wells after they walk under the brilliant electric lights of a drug store. He is startled that this man is a stranger, and he exclaims, "You're not Jimmy Wells!" Bob then points to the man's differences from his old friend. In what once was the doorway of his and Jimmy's favorite restaurant, "Silky Bob" has waited twenty minutes for his old friend after having spoken to the beat patrolman. Then, he sees a man with his coat collar turned up approaching him. "Is that you, Bob?" the man asks. "Is that you, Jimmy Wells?" calls out Bob. After asking how the other is, Bob accompanies the taller man toward a place that is known to Jimmy; as they walk along arm-in-arm, Bob relates "the history of his success." But, when the bright lights of a drug store strike Jimmy's face, Bob suddenly stops, realizing he has been tricked. "Twenty years is a long time, but not long ...

Maclaurin series is a special case of Taylor series that is centered at `c=0` . The expansion of the function about `0` follows the formula: `f(x)=sum_(n=0)^oo (f^n(0))/(n!) x^n`  or `f(x)= f(0)+(f'(0))/(1!)x+(f^2(0))/(2!)x^2+(f^3(0))/(3!)x^3+(f^4(0))/(4!)x^4 +...` To determine the Maclaurin polynomial of degree n=4 for the given function `f(x)=x^2e^(-x)` , we may apply the formula for Maclaurin series. To list `f^n(x) ` up to `n=4` , we may apply the following formula: Product rule for differentiation: `d/(dx) (u*v) = u' *v +u*v' ` Derivative property: `d/(dx) (f+-g+-h) = d/(dx) f +-d/(dx) g+-d/(dx) h` Power rule for differentiation: `d/(dx) x^n =n*x^(n-1)` Derivative formula for exponential function: `d/(dx) e^u = e^u * (du)/(dx)` `f(x)=x^2e^(-x)` Let `u =x^2` then `u' = 2x`       `v = e^(-x)`  then `v' = e^x*(-1) =-e^(-x)` `d/(dx) (x^2e^(-x)) = 2x*e^(-x) + x^2*(-e^(-x))`                         `= 2xe^(-x) -x^2e^(-x)` Let: `u =x` then `u' =1`         `v = e^...

The largest conflict within Hannah Tinti's book  The Good Thief  is Ren’s internal struggle for acceptance and longing for a real home with a real family. Tinti creates a bit of a plot twist to increase tension and conflict near the end of the story when Silas kidnaps Ren and Golly, which ultimately reveals that Benjamin is Ren’s father. Discovering his true parentage seems to allow Ren to accept that he is most at home with the other outcasts he has grown to love having in his life. Ren learns that he is allowed to adopt his closest friends as his true family and is finally able to experience the love and companionship he has sought throughout The Good Thief .

The beauty of Harper Lee's  To Kill a Mockingbird  is that, while set in 1936, the themes and lessons are still relevant today.  Boo Radley is perceived as a frightening, unseen character throughout the book.  His name is whispered throughout the groups of gossiping women and the children are intrigued but frightened.  We eventually come to realize that Boo evidently has some type of disability.  This brings to light the prejudice we see today against people who don't fall into society's version of "normal."  People fear what they don't understand and Boo Radley is a perfect example of this. Tom Robinson falls prey, of course, to the racial injustice of the time.  He is an innocent man accused of a heinous crime strictly based on the color of his skin.  Even when characters begin to realize his innocence is possible, no one but Atticus is willing to stand up for fear of judgement. While Boo is given a chance to overcome the prejudice against him, Tom is not so...

As the other answer to this question states, there are almost too many reasons behind Harry's success to list. However, there are a couple of main reasons that contribute to Harry's success that resurface time and again, and are therefore worth focusing on: Harry's personal courage, and his relationship with others. Though Harry is not the cleverest wizard at Hogwarts (that distinction undoubtedly goes to his friend Hermione), he still manages to repeatedly accomplish heroic feats. While other students are unwilling to challenge three-headed dogs or face fire-breathing dragons, Harry takes on these fearsome challenges with stout bravery. As such, it's clear that one of the most important factors behind Harry's success is the courage that compels him to tackle the frightening adventures his peers shrink from.  That said, Harry would not have been able to overcome Voldemort's evil without a little help from his friends. Indeed, Harry's relationships with other...

The nameless protagonist of James Joyce's "Araby" is an innocent, idealistic boy who is also something of a romantic. He's obsessed with the books in the library in his house, one of which is a historical romance. It's hardly surprising that the narrator idealizes Mangan's sister and views his crush on her as the perfect romance. Indeed, once the narrator promises to bring Mangan's sister back something from the bazaar, Araby, he becomes increasingly obsessed with the notion of winning her love and begins to neglect all other aspects of his daily routine. Given his extreme obsession for Mangan's sister, the narrator's epiphany at the end of the story is especially crushing. Realizing that he has been controlled by idealistic, childish impulses, the narrator seems to set aside his ambitions to impress Mangan's sister and prepares instead to join the ranks of disillusioned adults. 

Decius knows that Julius Caesar really wants to go to the Senate House because he is expecting the senators to make him a king. The only obstacle to getting Caesar to go is his wife Calpurnia. She has had one particularly bad dream and feels sure that her husband will be going to his death if he leaves their home.  Decius first discounts Calpurnia's dream by reinterpreting it. This dream is all amiss interpreted; It was a vision fair and fortunate. Your statue spouting blood in many pipes, In which so many smiling Romans bathed, Signifies that from you great Rome shall suck Reviving blood, and that great men shall press For tinctures, stains, relics, and cognizance. This by Calpurnia's dream is signified.   (II.2) Caesar quickly approves of Decius' interpretation of Calpurnia's dream. This sets Caesar up, so to speak, for what Decius has to say next.                 ...the Senate have concluded To give this day a crown to mighty Caesar. If you shall send them word you w...

The window that Bud regrets looking out of is the window of the Amos’ shed.  Bud is put in the shed after he has an altercation with the Amos’ son.  Being locked in the shed for the night is Bud’s punishment.  There is only one window in the shed.  One of the first things Bud does when he is locked in the shed is look out the window.  We know that Bud regrets looking out the window in the Amos’ shed in chapter 3 of Bud, Not Buddy because he says that “the next thing I noticed made me wish I’d stayed asleep.”  It was at this moment that Bud notices “the biggest vampire bat you’d ever see” up on the ceiling of the shed.  The irony is that the reason Bud regrets seeing the “vampire bat” is different than he first expects.  The thing on the ceiling is not, in fact, a bat at all.  It is a hornet’s nest.  In an effort to kill the “vampire bat,” Bud hits the hornet’s nest with a rake he finds.  There were about six thousand hornets flying around in the tiny shed and each and every one of the...

The appearance of Victor’s creation was gruesome. Although the features were human, the monster’s physique was unappealing to his creator. The monster was huge, had yellow skin that barely covered its entire body, and white watery eyes and black lips. The monster’s appearance was going to frighten the people, forcing them to treat him like an outcast. Beautiful!—Great God! His yellow skin scarcely covered the work of muscles and arteries beneath; his hair was of a lustrous black, and flowing; his teeth of a pearly whiteness; but these luxuriance only formed a more horrid contrast with his watery eyes, that seemed almost of the same color as the dun white sockets in which they were set, his shriveled complexion and straight black lips. Victor was not impressed with the creation when he animated it. After completing his work, he abandoned his creation. Victor described his creation as a wretched, miserable monster, and because of his ghastly features the first human bond with the creatur...

This story was published in 1989, in the waning years of the apartheid in South Africa. The apartheid was a system of racial segregation in South Africa which lasted from 1948 to 1994. During this time, a white minority controlled and oppressed the country of a black majority. In these waning years, crime and protests were common. In this story, Gordimer (a white South African) reflects fears of crime and violence which many people had under this system and as it headed towards transition. She awakens to a mysterious sound and fears an intruder is in her house or trying to get in. This fear she illustrates alludes to the uncertain future which South Africa would have after the apartheid would be abolished. However, she comes to her senses and realizes that the noise is simply a creaky house which had been built upon an underground mine. So, the inclusion of the miners actually suggests a moment of logic, reason, and maybe even hope. Realizing her fear was misplaced, Gordimer indirectly...

The surface of Earth emits heat in the infrared region. Part of this heat is absorbed by gases in our atmosphere. These gases then emit the heat in infrared regions, which causes warming of the planet. This process is known as the greenhouse effect and the gases which are capable of absorbing and emitting heat in this way are known as greenhouse gases. Some of the prominent greenhouse gases include carbon dioxide, methane, water vapor, and ozone. The greenhouse effect is the reason the temperature of Earth is favorable for life.  Since the Industrial Revolution, human activities have caused a rapid buildup of these gases in our atmosphere and this is at least partially responsible for global warming.  A number of efforts are underway to check the emissions of these gases. Hope this helps. 

In chapter five while Gatsby and Nick wait for Daisy outside Nick's bungalow prior to touring Gatsby's house, Gatsby casually observes "It took me just three years to earn the money that bought it."  Realizing that he has contradicted his earlier claim that he had inherited his wealth, he quickly tells Nick "I was in the drug business and then I was in the oil business."   In chapter six, Daisy tells Tom that Gatsby "owned some drug-stores, a lot of drug-stores. He built them up himself." Readers assume that Gatsby has told her this in private, since Nick, the novel's narrator, does not witness the conversation and Daisy does not hear Gatsby's remarks in chapter five. When Tom confronts Gatsby in chapter seven, he reveals to Daisy, Nick, and Jordan that a private investigator he has hired has discovered that Gatsby and Meyer Wolfsheim had bought drug-stores in Chicago "and sold grain alcohol over the counter."  Gatsby does not den...

I think you mean to ask whether Hassan's biological father is Ali or Hassan. Amir's paternity is never in question. However, Baba does tell Rahim Khan once that he wouldn't believe Amir was his son if he hadn't seen Amir pulled from his wife's body when she gave birth. Baba says this because he thinks that Amir and he have nothing in common; Baba is the legend who supposedly wrestled a bear, and Amir is a sensitive, introspective writer who cannot defend himself or Hassan. Despite this comment, we know that Baba is Amir's biological father. Hassan's paternity, on the other hand, comes into question later in the novel, when Amir returns to the Middle East as an adult at Rahim Khan's request. Rahim Khan is dying and wants to give Amir the opportunity to redeem himself ("There is a way to be good again."). During this conversation in Chapters 16 and 17, Rahim Khan reveals that both Ali and Hassan are now dead, but that Hassan's son Sohrab is i...

First, we do not know precisely how many galaxies there are in the universe. There are several reasons why a precise count cannot exist with current technology and funding. Our way to determine the number of galaxies involves not just scanning of a specific region in the sky, but careful analysis to determine if what appears as a minuscule and faint dot of light is or is not a galaxy. That involves careful analysis of its spectrum of electromagnetic radiation, first to see if it has a typical spectrum of a single star or a galaxy, containing many stars, and second, to examine red shift to determine its distance and age. From several observations of specific patches of sky, astronomers extrapolate general figures.  In many regions of the sky, small galaxies may be too faint to be seen or our views of them may be blocked by other objects. This means that astronomers need to make approximations based on what can be observed and intricate mathematical models which create estimates based on...

William Caxton did not invent the printing press: in fact, that honour belongs to a German inventor called Johannes Gutenberg. He developed the world's first printing press in 1440. (See the first reference link for more information.) In contrast, the merchant and diplomat William Caxton was the first person to introduce printing into England. He established a printing press (the first of its kind in England) at Westminster in London in 1476 - some three decades after Gutenberg invented the press. Thanks to his press, Caxton became England's first bookseller and sold some of the era's most popular and important books, like Geoffrey Chaucer's The Canterbury Tales. He also personally translated many famous works, including Thomas Mallory's Le Morte d'Arthur. (See the second reference link for more information.) 

The most important details for the setting of "After Twenty Years" are the street, the doorway, the darkness, and the weather. O. Henry creates a picture of a New York street at night when almost all the little business establishments are closed. That is why he sets the time as approximately ten o'clock. Shops that might have remained open until six or seven would be locked and dark by now. The corner drugstore is brilliantly lighted with the new invention of electric lights, but it is locked up for the night. The lights have only been left on as a form of advertising.  The vicinity was one that kept early hours. Now and then you might see the lights of a cigar store or of an all-night lunch counter; but the majority of the doors belonged to business places that had long since been closed. O. Henry excelled at such descriptions. He specifies that the weather is cold, windy, and wet. This explains not only why the neighborhood is so nearly deserted, but why Bob is standing...

The primary goals of those establishing the Virginia colonies were to find precious metals and to find a passage to the Pacific Ocean for trading purposes.  Many settlers hoped to find silver and gold. They also thought that the Pacific Ocean was nearby.  They sought to find a shorter trade route to the Pacific Ocean from the Atlantic Ocean.  These goals were largely not achieved.  Instead, settlers initially suffered from cold weather, hunger, and disease.  There were also conflicts with the local Native Americans.  Many of the settlers who did survive had planned to leave until the arrival of a supply ship. In the years following, tobacco became a successful crop.  Despite further hardships, more settlers arrived.  They hoped to start a new life with new opportunities.  

Airplane technology was still in its infancy at the outset of WWI, but despite their lack of complexity they were still able to play a huge role in the war. Early on in the war, planes were used by both sides mainly for aerial surveillance. They could safely scout the enemy's movements from the sky, as well as spot targets for the artillery. Eventually aircraft would be used more and more effectively as they became more complex. Bombers were developed, and fighter planes were built to hunt them in the skies.  Regardless of the tremendous combat advantages they offered, flying planes in WWI was still very dangerous. No one knew about the stresses and fatigue that can accompany flying, such as hypoxia. The planes were not able to carry much fuel, so they had very limited range, and they were slow and made easy targets if they got too close to the ground. The early planes were also open to the elements, and entire aircrews were lost when they were exposed to freezing temperatures up i...

At the beginning of the novel, Bruno absolutely hates his new home and misses his friends back in Germany. He does his best to obey his father but is very depressed at his current situation. As the novel progresses, Bruno begins to explore his environment, against his father's commands, and interacts with the people living in his home at "Out-With." Bruno has several significant interactions with Pavel and Maria, which develop his perspective and empathy towards individuals . Although Bruno remains naive about their situation, he shares a connection with Pavel and Maria, which allows him to sympathize with them. Bruno also meets a little boy named Shmuel, who lives on the other side of the fence and develops a close friendship with him. As their friendship grows, so does Bruno's compassion and awareness. Bruno becomes less selfish and begins to bring Shmuel food during their visits. He also notices Shmuel's declining health. At home, Bruno forms negative opinion...

Though the armor worn by King Hamlet's ghost is a small detail, it actually serves an important role in the play. First of all, the armor worn by King Hamlet's ghost signifies that the ghost is on a mission dealing with martial conflict and war; since the ghost essentially wants Hamlet to combat injustice and wrestle the kingdom of Denmark out of Claudius' clutches, this martial theme makes sense. Secondly, the armor is actually important for the practical purpose of identifying the ghost as King Hamlet. For instance, take a look at this exchange between Marcellus and Horatio after they see the ghost in Act 1, Scene 1: MARCELLUS:  Is it not like the King? ORATIO:  As thou art to thyself. Such was the very armour he had on When he the ambitious Norway combated. (71-4) From this exchange, we learn that the ghost is indeed the ghost of King Hamlet, as the apparition is wearing the former king's armor. By dressing his specter in armor, Shakespeare immediately tells the audi...

While I cannot answer the question (which is obviously very complex) in full in this limited space, I can give you a number of ideas. First, the question requires that you argue for a balanced government or a situation where either the executive branch or Congress is preeminent. First, you will have to decide which to argue for, which is of course based on your personal opinion. You will then need to go further, pointing out the strengths and weaknesses of your position. So I will highlight some historical examples of the strengths and weaknesses of some of the scenarios for which you might argue.  Historically, a stronger executive branch emerges in times of extreme crisis, when quick decision-making was necessary. For example, during the Great Depression and World War II, Franklin Roosevelt exercised unprecedented power to deal with these successive challenges, which posed enormous and profound threats to the nation. In so doing, he permanently enlarged the executive branch, but his ...

Given the curves are `y=sqrt(r^2-x^2)` (this is a circle equation actually, but lets compute the centroid  in a standard way) ,` y=0` let `f(x) =sqrt(r^2-x^2)` and `g(x)=0` In order to find the Centroid of the region bounded by the curves, first we have to find the area bounded by the curves. So now in order to find the area , we have to find the intersecting points of the curves. This can be obtained by equating f(x) and g(x) . =>` f(x) = g(x)` => `sqrt(r^2-x^2) =0` =>` (r^2-x^2) =0` => `x^2 = r^2` => `x=+-r` --------(1) so the curves `f(x)>=g(x) , -r<=x<=r` so the area `= int _-r ^r [sqrt(r^2 - x^2) -0]dx` let `x=rsin(theta)` ------(2) so , `dx = rcos(theta) d theta` but from (1) and (2) we get `x=+-r , x= rsin(theta)`  So, `sin(theta) = +-1` => `theta = sin^(-1) (+-1)` so` theta = +-(pi/2)` so, now with the new integrals we get area` = int _-r ^r [sqrt(r^2 - x^2) -0] dx`   = `int_(-pi/2) ^(pi/2) sqrt(r^2 - r^2sin^2 (theta)) rcos(theta) d theta`   = `int_(-...

The Massey murder took place on February 18, 1915. Charles Massey was shot to death by his maid, Carrie Davies. There was never any question as to who did it, but Davies claimed it was in self-defense because she believed Charles Massey was going to sexually assault her. She was 18 at the time. The Masseys were an extremely wealthy family in Toronto, Canada at the time. They employed many people from the town and they belonged to all of the elite social circles. According to CBC, the Masseys felt because of their wealth and status, they would have no trouble convicting Carrie Davies of the murder. That was not the case, however, as the jury believed Davies' testimony and found her not guilty of all charges. According to CBC (Canada Broadcasting Company), the families still dispute over the facts of the case. Descendants of Charles Massey believe that Davies got away with murder, whereas Davies' relatives believe she did indeed act in self-defense. 

In W.W. Jacobs short story "The Monkey's Paw" Mr. White is quite intrigued by the talisman and the idea it can grant wishes. In fact, he introduces the topic into the discussion when Sergeant Major Morris visits the White family. Morris had mentioned the paw in an earlier conversation and Mr. White brings it up again in the presence of his wife and son, Herbert. Despite the ominous stories about the paw, including that one man who had the paw wished for death, Mr. White purchases it from Morris. At first Mr. White is unsure what to wish for but after some light hearted banter with his son Herbert and at Herbert's suggestion, he wishes for two hundred pounds, the exact amount it would take to pay off the mortgage on his house. When the paw unexpectedly moves in Mr. White's hand and Herbert sees grotesque faces in the fire, it is not surprising that Mr. White's last two wishes will be for Herbert to first live again, and then to be dead again.