Notes

At the end of Chapter 1, M&M leaves the bowling alley and decides to walk home by himself. Bryon then suggests to Mark that they also leave the bowling alley in order to catch up with M&M. After Mark and Bryon exit the bowling alley, they begin following M&M and notice that three guys are trailing him. From the end of the alley, they hear Curly Shepard threatening M&M and Bryon witnesses Curly cut M&M's medallion off of his necklace. Mark and Bryon then run to M&M's rescue and jump on Curly Shepard and his gang members from behind. Curly drops his knife and Bryon threatens to break his arm. Curly recognizes Bryon and tells him to let go because he's proven his point. M&M then tells Mark and Bryon to leave Curly and his friends alone. Bryon gives Curly's arm one extra twist before he shoves him away, and Mark kicks the other guy after letting him go. Curly Shepard and his friends then curse at Mark and Bryon as they run away. 

Chapter 11 is where the saga between the Finch children and Mrs. Dubose unfolds. It's really sad that a neighbor who respects the children's mother would turn so verbally abusive towards them after her death. The kids hear rude things about their father taking a black man's case at school from immature classmates; but when an adult gets involved, it really cuts deep. The phrase that turns Jem's heart to wiping out the tops of Mrs. Dubose's camellia bushes is when she says, "Your father's not better than the ni****s and trash he works for!" (102). Jem's penance is to read to the old woman every day after school for two hours.  During his time there, Mrs. Dubose is in and out of consciousness. But at the beginning of each session, Scout tells Atticus that she warms up before Jem reads by verbally attacking their father. Scout explains as follows: ". . . everything would begin normally--that is, Mrs. Dubose would hand Jem for a while on her favor...

I wish that I could give a really straightforward answer for this question, but it's not possible.   The quote that is listed does not appear in Jon Krakauer's book  Into the Wild.  The quote listed in this question is taken from the script of the 2007 film  Into the Wild.  The film was directed by Sean Penn, and the screenplay was also written by Sean Penn.  In the movie version, McCandless says the above quote to Ron Franz.  There is a similar quote in the book.   Early in his senior year at Woodson, Chris informed his parents that he had no intention of going to college. When Walt and Billie suggested that he needed a college degree to attain a fulfilling career, Chris answered that careers were demeaning “twentieth-century inventions,” more of a liability than an asset, and that he would do fine without one, thank you. The above text can be found on page 71 of my version.  McCandless isn't talking to Franz though.  He's talking to his family about his desire to ...

First, Nick and Gatsby go over to Tom and Daisy Buchanans' house in East Egg.  In addition to Nick, Gatsby, Tom, and Daisy, Jordan Baker is also there.  They all spend some time at the house, but it is so incredibly hot that Daisy, especially, feels anxious, and she says, "'everything's so confused.  Let's all go to town!'"  Tom grabs some liquor, and the party leaves.  Tom, Nick, and Jordan all go in Gatsby's car, and Daisy and Gatsby go in Tom's car.  It is on this trip that Tom learns of George Wilson's plan to take his wife, Myrtle (Tom's mistress), west as a result of learning that she's been having an affair.  It is also during this trip to New York City that Tom reveals Gatsby's status as a bootlegger to Daisy, causing her to second-guess (and eventually abandon) her relationship with him.  Finally, it is on the way home from NYC that Daisy hits Myrtle while driving Gatsby's car, and she ultimately allows Gatsby to take t...

We will use integration by parts `int udv=uv-int vdu` `int_-infty^0 xe^(-4x)dx=|[u=x,dv=e^(-4x)dx],[du=dx,v=-1/4e^(-4x)]|=` `-1/4xe^(-4x)|_-infty^0+1/4int_-infty^0 e^(-4x)dx=` `(-1/4xe^(-4x)-1/16e^(-4x))|_-infty^0=` `-1/4cdot0cdote^0-1/16e^0+lim_(x to -infty)[e^(-4x)(1/4x+1/16)]=` `0-1/16+infty(-infty+1/16)=-infty`   As we can see the integral diverges .                                 

In the short story "The Secret Life of Walter Mitty" by James Thurber, the main character does not "make his daydreams become a reality," but rather his reality is altered by his mental wanderings. For example, each of his daydreams is triggered by something that he sees in his daily activities. I will list each of these below. His first daydream of speeding through a storm in a ship is brought on by his wife complaining that he is driving too fast. The second daydream of him performing surgery happens after he drives by a hospital.  The next vision, the courtroom scene, stems from him seeing the "Waterbury trial" headline on the newsboy's paper; likewise, the last word of that sequence is "cur," a breed of dog, which reminds him of his wife's request that he buy "puppy biscuits." The second to last daydream where he is flying a war plane comes after he looks through war photos in a  Liberty magazine. Lastly, and perhaps most su...

The United Nations has been in existence for over seventy years. It was created at the end of World War II to accomplish several goals. One goal is to keep peace in the world. After World War I, the League of Nations was created to try to prevent future wars. However, the League of Nations failed for several reasons, including not having enough power to back up its actions. The United Nations was created to help keep peace in the world. It has more power than the League of Nations to enforce its orders. For example, the United Nations helped South Korea in 1950 when North Korea invaded South Korea. The United Nations also wants to promote friendly relationships between nations. It supports the concepts of self-determination and equal rights. By promoting friendly relations, the United Nations can decrease the likelihood of war occurring. Another goal is to help people throughout the world who are suffering. The United Nations provides humanitarian, economic, social, and cultural assist...

Total volume of the tank=200 gallon Given that, tank is half full, so remaining volume of the tank to be filled=200-100=100 gallon. Since 5 gallons of solution comes into the tank per minute and 3 gallons of solution goes out each minute, Net flow of solution in the tank=5-3= 2 gallons per minute. Time required=`100/2=50` ` ` So, the time required for the tank be full = 50 minutes 

Common Sense is the best-selling American book of all-time. Thomas Paine used his persuasive writing to convince the colonists in Colonial America to fight for independence from Great Britain. This might not seem like a huge stretch by our modern eye - how hard could it have been for thirteen states to demand separation from a country across the Atlantic Ocean when telephones didn't even exist? The problem existed not in the difficulty of separating, but rather in the difficulty of convincing the colonists that separating was the correct decision. Imagine what would have to happen in modern day politics for Hawaii or Alaska to separate from the United States! It would be next to impossible because you could not convince the residents of Hawaii or Alaska that fighting against a superpower (America) is worth their independence (because life for them isn't all that bad anyways). Now transition that to colonial times, when some of the colonists wanted to become independent of their...

Robert Frost's "The Road Not Taken" is set in autumn in the woods. The speaker comes to a fork in the road: Two roads diverged in a yellow wood... Literally speaking, we know that the poem is set in the autumn season as the speaker says "yellow wood." The speaker struggles to make a decision in relation to which road he should take. Metaphorically speaking, autumn represents maturity and the beginning of old age. So, we could claim that our speaker is soon to be old and that he has come to a point in his life when he has to make an important decision. Such decision will undoubtedly change his life for good. He is aware that once the choice is made, he can no longer go back to the point when he was able to choose between two options. The poem implies that the speaker can never be completely happy because he will always wonder what the other path offered.

The supply of loanable funds comes from two things: Savings, and fractional-reserve banking. When people save money in banks, that money is available to be loaned. But this is relatively unimportant actually; what matters is instead the money created by banks using that saved money as reserves. About 90% of the money supply loaned by banks is created by the banking system, not originally from savings. The ratio between money supply and reserves is called the money multiplier , and it is capped by the reserve requirement set by the government. So, there are essentially two ways for the government to increase the supply of loanable funds; they could either find a way to increase the amount of money saved, or they could increase the money multiplier. The former can be done by various means; one of the most successful has been Save More Tomorrow, a system based on insights from cognitive economics that makes it the default to save a portion of your increases in pay over time---by making it...

In her autobiography, Helen Keller wrote that she did not remember when she came to the realization that she "was different from other people."  She did realize this fact before Anne Sullivan, her teacher, came to stay when Helen was almost seven-years-old. Helen used hand signs to communicate with her family and others in the household.  Even though she was blind and deaf, she was an incredibly intelligent and observant little girl.  At some point, young Helen "noticed that [her] mother and [her] friends did not use signs as [she] did when they wanted anything done, but talked with their mouths."  As a little girl, Helen was fascinated with people communicating with their months.  At times, she "stood between two persons who were conversing and touched their lips."  Despite her fascination, Helen found it frustrating that she was not able to understand exactly what was happening.  She tried moving her own lips to communicate, but nothing happened.  It mad...

I don't necessarily find the Southern Belle trope to be racist; but it does depend upon what era of Southern Belle you're discussing. This cultural stereotype is found in history but also within contemporary culture. Cinematic depictions abound; perhaps one of the most famous is Scarlett O'Hara from Gone with the Wind. I am more inclined to call the Southern Belle something of a sexist stereotype, as opposed to misogynistic. Of course, all American culture was sexist during the Civil War area depicted in this film; but the Southern Belle attitude and demeanor found in contemporary cinema holds onto this dynamic of women being feminine and somewhat submissive to men (even if they are bold and strong-willed like Scarlett). The Southern Belle is not meant to depict women as weak or subservient, because these characters are usually shown to be enjoying their particular expression of gender roles. There is often a tendency for these characters to be portrayed as extremely flirt...

In the short story, “Thank you, M’am,” Langston Hughes tells us exactly why Roger sits in such a way that Mrs. Jones can see him.  Hughes tells us that Roger “did not want to be mistrusted now.”  He sits so that Mrs. Jones can see him so that she will know that she can trust him.  This is important to the story as it shows that Roger has come to care about what Mrs. Jones thinks of him. “Thank you, M’am” is a story about how we can be affected by how people think of us.  It is a story about how one person’s opinion can matter tremendously to another person, particularly if the other person has not had many/any people truly care about him.  Roger does not appear to have anyone in his life who cares about him.  There is no one at his house to feed him or make sure his face is clean.  Perhaps because of this, he goes out and commits petty crimes.  When he tries to snatch Mrs. Jones’ purse, she stops him and drags him home with her. As the story goes on, Mrs. Jones shows that she trusts Ro...

Refracted waves can be faster or slower as compared to the incident waves, depending on the optical density of the medium. Refraction defines the bending of a light ray when it moves from one medium to another. Each medium has a certain optical density and this determines the speed of light rays through it. Light rays travel slowly in a denser medium, while they have higher speeds in a rarer medium. Thus, the transition from one medium to another causes light rays to bend. Lights rays will either bend towards the normal (drawn to the surface) or away from it. When light rays move from a fast medium to a slow medium, they bend towards the normal. In comparison, when light rays move from a slow medium to a fast medium, they bend away from the normal.  We can use Snell's law to determine the speed of the light ray in any medium. The law is given as: (sin i)/(sin r) = v1/v2 where, i and r are the angles made by incident and refracted rays (with the normal) and v1 and v2 are the velocit...

The narrator of the poem hears a knocking at his door, but it is December, and right around midnight, so it seems unlikely that this knocking would be coming from some natural source.  He has been in his room, reading, attempting to take his mind off of the death of his lover, Lenore, by perusing a "curious volume of forgotten lore" (line 2).  The silk curtains rustle, and his fire is dying, and these details contribute to the narrator's "terrors" and fear of what could be knocking at his door at this late and inhospitable hour (14).  When he opens the door, there is no one there, and he peers out, whispering Lenore's name.  He only hears her name echo back and nothing else.  Her spirit is the one haunting the narrator, though we cannot know if she has actually returned or if it is just her memory that haunts him. This potential haunting certainly sets the mood of the text.  It is not merely sad, but also mysterious and strange and somewhat foreboding, as th...

The contrast lies in the fact that Lady Macduff has very little influence on what her husband does whilst Lady Macbeth exercises control over Macbeth in the early part of the play. She later loses this power when Macbeth is utterly overwhelmed by his own evil and generally neglects her. He becomes paranoid and obsessed and is controlled by malice and a lust for blood. We know that Lady Macduff exercises little control over her husband, for she expresses as much when she speaks to Ross in Act 4, scene 2: Wisdom! to leave his wife, to leave his babes, His mansion and his titles in a place From whence himself does fly? He loves us not; He wants the natural touch: for the poor wren, The most diminutive of birds, will fight, Her young ones in her nest, against the owl. All is the fear and nothing is the love; As little is the wisdom, where the flight So runs against all reason. It is clear from what she says that she resents the fact that her husband has, as she believes, abandoned them. Ma...

In essence, the populace of Oceania is complicit in maintaining the dystopia by obeying the Party's rules and adopting its norms and values. We see this through the Two Minutes Hate, a daily ritual where people watch a film which depicts the Party's enemies and are encouraged to vocalize their hate and disgust toward the screen. By doing this, the people not only scapegoat certain individuals, like Emmanuel Goldstein, but also demonstrate their love for Big Brother and commitment to his regime. Similarly, the populace maintains the status quo by allowing itself to be monitored by the telescreens. In reality, people could smash the screens or hide away from the screens in the prole district; instead, they live their lives in front of the screens. By enabling this invasion of privacy, the populace effectively authorizes the Party to watch their movements and listen to their conversations.  Arguably, by creating these examples, Orwell is suggesting that totalitarian power is maint...

When he returns, he tells his Mama that he must go to the mountains. He had been at Mrs. Rodriguez's home and a quarrel turned into a fight. He ended up killing a man with his (father's) knife. So, he's running to the mountains to escape. He claims that the man he killed called him "names he could not allow." Pepe justifies his actions, saying it is what a man must do.  Mama agrees that he must flee to the mountains. She and her other two children make preparations and the watch as Pepe leaves on horseback. Pepe leaves, claiming that he is now "a man." After he's gone, his mother wails because she does not think he will be able to survive. Note that Pepe did not like to work. He had been accustomed to sitting around and/or playing. So, Mama does not think he will make it on his own. She agrees with him, that he is a man, only to give him some confidence as he leaves for the mountains.  After a gun battle, he begins losing his father's things. Thi...

Throughout the novel, Ponyboy dreams that his parents were still alive and that his family lived in the country. He dreams that Sodapop would have his horse, Mickey Mouse, and that Johnny would come live with his family in the country. Darry also dreams that his parents were still alive. He dreams that he would accept a scholarship to play football in college and that he wouldn't have to work two jobs. Darry also dreams that he had a positive relationship with Ponyboy.  Dally dreams that Johnny would not have been mortally wounded in the church fire and would have survived his injuries. Dally also dreams about not going to prison and turning into a callous individual. Cherry dreams that her boyfriend, Bob Sheldon, was still alive and that she had authentic friends. She also dreams that the violence between the Socs and Greasers would end. 

The initiating event in "The Open Window" is the arrival of Framton Nuttel at the home of the Sappletons. He is a complete stranger who comes with a letter of introduction from his sister, a woman whom Mrs. Sappleton may not even remember. Obviously, Mrs. Sappleton is caught off guard. She has to enlist her niece Vera to stand in for her while she gets ready to receive their visitor. The entire story is told through Framton's point of view. He is not a very attractive guest because he is so wrapped up in his nervous disorder. Vera probably doesn't like being dragooned into serving as a substitute hostess at a moment's notice. She may have been interrupted in her reading. The mischievous fifteen-year-old girl decides to play a practical joke on the visitor, and in doing so Vera reveals a lot about the dreary routine of the Sappleton household. The men never think about or talk about anything but shooting birds. Her aunt seems housebound and has probably rarely hear...

After they fly kites together on Christmas day, Buddy's friend has a revelation about the Lord in Truman Capote’s story “A Christmas Memory.”  Buddy and his friend open presents with the rest of the family before escaping the disappointment and stuffiness of their home by going to the pasture to fly kites. The kites were the handmade gifts they shared earlier that day.  It is a beautiful afternoon with perfect blue skies and amazing kite flying winds. The two unwind in the deep grass with the afternoon sun shining upon them while simply enjoying each other’s company. As they relax in the sun, Buddy’s friend realizes her belief that one would have to be near death to see the face of God may be flawed. She finds herself so taken with the idyllic afternoon that she decides the Lord shows himself in such perfection. He does not wait until the end of life, but he is present in life’s common, but precious moments. She explains her revelation to Buddy so he will understand how God present...

There are many important metaphors in the novel "The Healers" by Ayi Kwei Armah, most of which surround the themes of the ignorance of invading colonial forces and the healing power of African unity. In the book, Armah compares the power-hungry system of hierarchy, which is evident in both the invading forces and in their own royalty, to a disease: "Among our people, royalty is part of the disease. Whoever serves royalty serves the disease not the cure" (307). In this case, the "disease" is the colonial invading force and the "cure" would refer to the literal healers who work as a community to counteract the evils of those forces, as well as the healing power of African unity.  Another example of a metaphor is when the author writes, "'I am saying this is seed time, far from harvest time,' Damfo said" (270). Here, the author is trying to suggest that it is the healers who are responsible for planting the seeds that will grow int...

Eckels is warned several times during this story.  I'm not 100% sure which warning the question is referring too.  It doesn't really matter though.  Each warning to Eckels foreshadows the same thing.  They foreshadow that Eckels is going to get scared and ruin the present/future.  The first warning to Eckels is that the trip is dangerous.  It's so dangerous, he might not come back alive.  "Does this safari guarantee I come back alive?" "We guarantee nothing," said the official, "except the dinosaurs." The second warning to Eckels is more official.  The warning this time is a signed release document.  The document is meant to force customers into making sure that they are fully committed to the dinosaur hunt.  People who are not mentally ready tend to panic.   "Sign this release. Anything happens to you, we're not responsible. Those dinosaurs are hungry." Eckels flushed angrily. "Trying to scare me!" "Frankly, yes. W...

It's difficult to think of any two poems that could be further apart than the self-effacing "I'm Nobody" and the celebration of self in "Song of Myself." One is brief, the other lengthy. The voice of one is quiet while the other is jubilant. Nevertheless, there are some similarities.  Both poets lived in nineteenth century America. Whitman was born before Dickinson and he lived far longer than she did. Both poets became known as the best of nineteenth century poetry in the US. Both were self-educated, reading widely and both were influenced by the Bible.  The main thing that is in common in terms of the poems themselves, is the sense of self-acceptance. Both poets value their own lives and express satisfaction with their lives in their poetry. "I'm Nobody" asks readers if they are also "nobodies" and then lets the reader know that being "Somebody" would be "dreary." The poem is a conspiracy between two quiet people...

This famous thought problem has puzzled many, but I hope my answer will be satisfactory to you. When we focus on the hen, specifically, this question is quite difficult to answer. It would depend on how we determine who the egg belongs to, and at what point we can say with certainty that a new species of poultry bird has come into existence. Let's imagine a scenario between Bird A and her offspring, Bird B. In this scenario, we'll also consider Species 1 and Species 2 as two distinct species based upon their characteristics. Bird A is a hen that exemplifies some transitional characteristics between two species, but still falls close enough into the category for Species 1. Depending on the male bird she mates with, she may have offspring that fall more closely into the category of Species 2. Let's imagine that Bird B is the offspring of Bird A, and while Bird A has been classified as Species 1, Bird B can be classified as Species 2. As if that weren't tricky enough, let...

Manic is blind to racism and seeing color. Race is very significant in Two Mills.  If you are white, you live on the West End and you generally stay on the West End with your own kind.  If you are black, you stay on the East End.  That is where you belong.  It is just the way things are. To Maniac, this makes no sense.  We are told that Maniac is “blind” when it comes to color. Maniac kept trying, but he still couldn't see it, this color business. He didn't figure he was white any more than the East Enders were black. He looked himself over pretty hard and came up with at least seven different shades and colors right on his own skin, not one of them being what he would call white … (Ch. 16)  In a way, Maniac is not quite blind to color.  He actually really enjoys the colors he sees in the people of the East End.  Maniac loved the colors of the East End, the people colors.  For the life of him, he couldn't figure why these East Enders called themselves black. He kept looking...

When Stalin died on March 5 1953, he was replaced by Georgy Malenkov. In fact, Malenkov had held the position of Deputy Prime Minister since 1946 and was, to a certain extent, Stalin's heir apparent. The day after Stalin died, Malenkov became the Premier of the Soviet Union, a role which gave him total control. Malenkov was not the only man with political ambition, however. Nikita Khrushchev was one such man and, within a few weeks, had become the first secretary of the Communist Party, a move which demonstrated the strength of his ambition. Over the next few years, Khrushchev consolidated his position through a series of political alliances and, by 1956, had enough power to successfully oust Malenkov and take over as the leader of the Soviet Union. For more information on the power struggles between Malenkov and Khrushchev, please see the reference link provided. 

The arrival of Alphonse Capone from New York in 1920 when he inherited Giovanni Torrio's gang, along with the passage of the 18th Amendment, marked the beginning of the infiltration of organized crime in Chicago, Illinois.  Criminal activity began with gambling and prostitution in the 1900's; then gangsters made political connections in order to secure the continued operation of their concerns. Having such rackets in place prepared gangsters for the exploitation of Prohibition. In fact, people's desire for liquor or beer in Chicago seemed to increase when sales became illegal.  Regarding the sale of liquor, Al Capone contended, "All I do is to supply a public demand … somebody had to throw some liquor on that thirst. Why not me?" [ http://www.umich.edu/~eng217/student_projects/nkazmers/organizedcrime2.html ]   With the sales of illegal liquor, Giovanni (John) Torrio, who led the Chicago Outfit, along with the help of Al Capone, turned this Outfit into a criminal m...

I don't know that Goodman Brown really makes a decision to behave the way he does after he wakes up the morning after he spends the night in the forest.  Earlier in the story, Brown had made the decision to abandon his religious faith, represented by his wife, Faith, and embrace sin by going into the forest.  Although she begged him to stay with her, he would not, and he thought to himself, "'after this one night, I'll cling to her skirts and follow her to Heaven.'"  However, this is not the way faith works; we cannot simply put it down and pick it back up again when it is convenient for us.  In making this decision, Brown essentially alienates himself from God; so, when he returns, "he shrank from the bosom of Faith" and becomes a "stern, a sad, a darkly meditative, a distrustful, if not a desperate man [...]."  He doesn't decide to become mistrustful or faithless.  It just happens as a result of the bad decisions he'd made earlie...

Caesura is a pause or interruption in the middle of the line, usually signaled by punctuation. In Shakespeare's texts, caesura refers more to a pause in a metrical foot, since Shakespeare wrote in iambic pentameter. Iambic pentameter is a line of verse with five metric feet, and each foot has one unstressed and one stressed syllable in it. Usually, caesuras are used to mark an important word or phrase in a verse. Because a caesura disrupts the normal metrical flow of a verse, attention is called to whatever word or phrase does not follow the rule.  For example, during the famous balcony scene in "Romeo and Juliet," caesuras are marked primarily through punctuation. When Juliet asks, "What's Montague? It is..." in the middle of a line, her question is marked not only by a question mark, but also by the subsequent pause it provides (act 2, scene 2, line 40). Juliet continues with her speech, and again asks, "What's in a name?" allowing the questi...

After the party, Henry, Pickering, and Eliza return to the Wimpole Street laboratory. At this point, everyone is tired and ready to call it a night. Nevertheless, Henry and Pickering carry on a lively conversation about not leaving their coats and jackets carelessly strewn about the drawing-room. Pickering then asks Higgins whether they have any mail, and Henry, in turn, wonders aloud where his slippers are. Meanwhile, Eliza, the star of the evening, is ignored by both Henry and Pickering. As Pickering brings the letter-box to Henry, Eliza retrieves Henry's slippers and sets them before the oblivious Henry. In due time, Henry notices the slippers and thinks that they have been there the whole time. Then, both Henry and Pickering commence talking about Eliza and her performance at the party as if she isn't in the room. This rude behavior is obviously insulting and insensitive to Eliza, but both men seem indifferent to her growing discomfort. The last straw comes when Pickering c...

The Battle of Seven Pines, also known as Fair Oaks, was the climax of Union Army of the Potomac commander George McClellan's famous Peninsula Campaign. McClellan's strategic vision was to use an amphibious movement to outflank the Confederate Army of Northern Virginia, Joseph Johnston commanding, and advance with a significant force on Richmond, the capitol of the Confederacy. McClellan's advance was met with greater resistance than he had expected, and his pace was slowed enough that Johnston's force was able to effect a withdrawal from its advanced position near Washington to position itself to defend Richmond against the Army of the Potomac. Several tactical Union victories at Yorktown, Williamsburg, and Norfolk gave McClellan the confidence to continue the advance, albeit at a much slower pace than he had originally anticipated. Johnston, knowing that he could not sustain a protracted siege if McClellan was to advance on Richmond, opted instead to go on the offensiv...

To evaluate the integral problem: `int_0^(pi/2) xsin(2x) dx` ,we may first  solve for its indefinite integral. Indefinite integral are written in the form of `int f(x) dx = F(x) +C`  where: `f(x)` as the integrand            `F(x)` as the anti-derivative function             `C`  as the arbitrary constant known as constant of integration We follow a formula from basic integration table to determine the indefinite integral function `F(x)` . For the integrals with logarithm, the problem resembles the formula: `int x sin(ax) dx= -(xcos(ax))/a+sin(ax)/a^2 +C` . By comparing `x sin(ax) ` with` xsin(2x)` , we determine that  `a= 2` .  Plug-in `a=2` to the integral formula, we get: `int_0^(pi/2) xsin(2x) dx=-(xcos((2)x))/(2)+sin((2)x)/(2)^2|_0^(pi/2)` `=-(xcos(2x))/2+sin(2x)/4|_0^(pi/2)` After solving the indefinite integral from, we may apply definite integral formula:` F(x)|_a^b = F(b) - F(a)` . `-(xcos(2x))/2+sin(2x)/4|_0^(pi/2) =[-((pi/2) *cos(2*(pi/2)))/2+sin(2*(pi/2))/4]-[-(0*cos(2*0))/...

There are a few ways to view this question. Thomas Jefferson had some diplomatic obstacles he had to overcome as a President. He also had to deal with philosophical obstacles. I will share one example of each obstacle. One philosophical obstacle dealt with the Louisiana Purchase. When Napoleon offered to sell all of the Louisiana Territory to the United States, we knew this was a great deal. However, President Jefferson hesitated to buy this land because he believed in a strict interpretation of the Constitution. The Constitution said nothing about the President buying land. He was persuaded to support the Louisiana Purchase. We bought the Louisiana Territory in 1803. While he was President, Great Britain and France were at war. Both countries interfered with our trade. Thomas Jefferson didn’t want to go to war with either nation. As a result, he signed the Embargo Act. This law prevented the United States from trading with most countries. He believed if we didn’t trade, our ships woul...

That is a great question. First, let us acknowledge that all fiction leaves things out, and short stories leave more things out. They have to, in order to create the focus authors need. So, leaving things out is not a weakness in a story. It’s essential. Turning to this classic short story by Camus, a number of crucial details are left out. Some of these would reshape my response to the story considerably. Consider, for example, the accusation scrawled on the blackboard in the final paragraph. If we knew that the person wrote that was mentally ill, or had a feud with Daru, or simply didn’t represent the community, that would radically change the ending of the story. A second key detail relates to Daru, where he’s teaching, and his internal states. Camus tells us Daru lives simply, like a monk. Why does he live so simply, and why did he take this teaching position? Camus presents us with the current reality of the story, but not the background, and that could change our emotional respon...

Taylor series  is an example of infinite series derived from the expansion of `f(x)` about a single point. It is represented by infinite sum of `f^n(x)`  centered at `x=c ` .The general formula for Taylor series is: `f(x) = sum_(n=0)^oo (f^n(c))/(n!) (x-c)^n` or `f(x) = f(c) + f'(c) (x-c)+ (f'(c))/(2!) (x-c)^2+ (f'(c))/(3!) (x-c)^3+ (f'(c))/(4!) (x-c)^4+...` To evaluate the given function `f(x) =root(3)(x)` , we may express it in terms of fractional exponent using the radical property: `root(n)(x)= x^(1/n)` . The function becomes: `f(x) = (x)^(1/3)` . Apply the definition of the Taylor series by listing the `f^n(x)` up to `n=3` .  We determine each derivative using Power Rule for differentiation: `d/(dx) x^n = n*x^(n-1)` . `f(x) = (x)^(1/3)` `f'(x) = 1/3 * x^(1/3-1)`           `= 1/3x^(-2/3) or1/(3x^(2/3) )` `f^2(x) = d/(dx) (1/3x^(-2/3))`           `= 1/3 * d/(dx) (x^(-2/3))`           `= 1/3*(-2/3x^(-2/3-1))`           `= -2/9 x^(-5/3) or -2/(9x^(5/3))` `f^3(x) = ...

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)=cos(pix)` , we may apply the formula for Maclaurin series. To list `f^n(x)` up to `n=4` , we may apply the derivative formula for trigonometric functions: `d/(dx) sin(u) = cos(u) *(du)/(dx)`  and `d/(dx) cos(u) = -sin(u) *(du)/(dx)` . Let `u =pix` then `(du)/(dx) =pi` . `f(x) =cos(pix)` `f'(x) = d/(dx) cos(pix)`            `= -sin(pix) *pi`            `=-pisin(pix)` `f^2(x) = d/(dx)-pisin(pix)`             `=-pi*d/(dx) sin(pix)`             `= -pi * (cos(pi)* pi)`             `= -pi^2cos(pix)` `f^3(x) = d/(dx)-pi^2cos(pix)`             `=-pi^2*d/(dx) cos(pix)`             `= -pi^2 * (-sin(pix)*pi)`             `= pi^3sin(pix)` `f^4(x) = ...

History Wars is a collection of essays by editors Engelhardt and Linenthal that features articles from prominent historians discussing the nature of politics in the presentation of a particular museum exhibit. The exhibit featured the Enola Gay , which was the Superfortress used by the American military to drop the atomic bomb on Hiroshima in 1945. The way in which the exhibit was presented led to significant criticism from war veterans, which then erupted into a media firestorm. Historical Conflict The source of the conflict featured in History Wars lies within the presentation of certain facts surrounding the atomic bombing. Critics argued that the actions of the Japanese military leading up to the bombing, including the Japanese attack on Pearl Harbor, were ignored by the creators of the museum exhibit. The veterans also claimed that the exhibit glossed over the Japanese invasion of Vietnam, Korea and China as well as the treatment of people in these occupied lands. The Responsibi...

Real GDP is a term that stands for real Gross Domestic Product. This is a macroeconomic measure that shows the inflation-adjusted value of goods and services produced in the United States. The real GDP transforms the money-value measure into a usable index that gives the nation's total output. You can also view real GDP as a measure used to calculate the economic growth rate based on the percentage change in quantities produced from one year to another. The GDP is always expressed in terms of base-year prices and it is sometimes known as the constant dollar GDP. Uses of Real GDP Real GDP is used to measure the value of goods and services within the context of inflation, which provides a more accurate account of changes in price level than nominal GDP. In practical terms, real GDP is useful in reflecting price changes from a base year while the nominal GDP is not. To calculate the real GDP, it is necessary to look at the economic output of two specific periods of time in which the a...

What both the American and French Revolutions have in common is the direct challenge to absolute monarchy -- the rejection of the Hobbesian idea that human nature requires a strong monarch, or a Leviathan -- to control and properly direct the worst impulses in a populace.  On the contrary, both the American colonies and France were struggling against perceived injustices committed by their monarchs. The American Revolution was a revolt against "taxation without representation" which was considered tyranny. It is important to remember that England's purpose in colonizing America, starting with Virginia (which was originally the Virginia Company), was to make money. They collected revenue from successful crops and, later, taxes for goods imported to the colonies, such as tea. France raged against the excesses of Marie Antoinette and Louis XVI. The lower-classes could no longer afford the price of bread while the queen naively dismissed the problem (she was very unfavorably ...

According to Karl Marx's Capital , fetishism of commodities refers to the way people view products as having inherent value. Commodity fetishism abstracts the social relations of labor that result in the production of commodities; rather than understanding value as a function of the proletarian labor utilized to produce a commodity, people tend to view the commodity as inherently valuable due to economic relations. Rather than exchange between people, value is understood in the abstract as a relationship between nonliving objects- commodities and currency. This view is the result of how invisible the process of production can be in a capitalist society. The manufacture of products is not seen by the public, and access to product of the working class's labor is limited to institutions which sell products. Therefore, people can only understand commodities in the abstract, because they are unable to access the social relations of the process of production.

In Part One of To Kill a Mockingbird , Scout does not see her aunt much.  She views her as a distant person.  Aunt Alexandra rarely comes to visit Scout and her family in Maycomb.  Scout reveals how she feels about Aunt Alexandra: ... throughout my early life, she was cold and there (Chapter 9). Aunt Alexandra is portrayed as being strict, critical, and full of unwanted advice in Part One.  She is concerned that Scout is not ladylike: Aunt Alexandra was fanatical on the subject of my attire.  I could not possibly hope to be a lady if I wore breeches; when I said I could do nothing in a dress, she said I wasn't supposed to be doing things that required pants.  Aunt Alexandra's vision of my deportment involved playing with small stoves, tea sets, and wearing the Add-A-Pearl necklace she gave me when I was born; furthermore, I should be a ray of sunshine in my father’s lonely life. Chapter 12 is the first chapter in Part Two.  Aunt Alexandra's presence increases dramatically i...

The events of the poem take place late in the year, in "bleak December" (line 7), and at "midnight" (1).  Both midnight and December are often symbolic of death, especially in works by Edgar Allan Poe, a symbolism that is appropriate here because it very much fits the poem's themes.  December can be representative of death because it is the last month of the year; it marks the death of the year in that way.  Midnight is similar because it marks the death of the day. In terms of where the poem takes place, the speaker is sitting in his home in a room that seems to be, perhaps, a study or den.  It is full of books, and the narrator sits reading one of his "volume[s] of forgotten lore" (2).  In addition, there is a bust of Pallas Athena on which the raven perches when he flies into the room (41).  Further, it seems unlikely that the narrator would be sitting in a bedroom since the chamber has a door that opens to the outside.

These two things are related to one another because they both have to do with people being judged based on something other than their own merits.  They two are different in that one involves people being judged negatively and the other involves them being judged positively, but both involve judging people based on others. Guilt by association is the idea that a person can be guilty of something because they associate with people who are guilty of that thing.  As an example of this in today’s political terms, let us think about Donald Trump and the KKK.  Trump has been endorsed by people from this group.  Since he is associated with the KKK, which is clearly a racist group, people judge him to be racist as well.  When a person is guilty by association, he or she is judged by the actions of the people they associate with, regardless of what their own actions have been. Coat-tailing occurs when a candidate is elected mostly because another candidate is popular.  If, for example, the Repub...

The inciting incident of the plot of "Contents of the Dead Man's Pockets" occurs with the loss of the yellow worksheet on which Tom Benecke has been working in an effort to create a new grocery store display method. This yellow sheet contains the work of long hours of research: fact, figures, and quotations--everything that he wants to use to make his proposal. Tom hopes to complete this proposal on the evening that he sends his wife to the movies without him. Then, he can re-examine what he has written over the weekend and submit it on Monday morning. But, when he gets up to kiss his wife and hug her, telling her to enjoy herself, a draft is created that draws the yellow sheet out the window onto the eleventh floor ledge. It is with utter disbelief that Tom tries to comprehend what has actually happened. Hours and hours of work have floated out the window like a feather! Tom ponders all the consequences of the loss of this important sheet of yellow paper. For one thing, ...

In his dealings with "Old Scratch," Tom Walker refuses to outfit a slave ship as originally requested by the Devil: "Tom resolutely refused: he was bad enough in all conscience, but the Devil himself could not tempt him to turn slave-trader." Despite being one of the home ports for slave-trading vessels in 18th century America and the first colony to recognize slavery as a legal institution, Massachusetts—especially Boston—contained a population which gradually came to view slavery with distaste. As early as 1701, pamphlets condemning slavery appeared in New England, usually penned by Puritans who hoped to refute earlier justifications for slavery based on religious tenets. Religious arguments tended to be used both for and against slavery. Massachusetts was also the first state to ban slavery in 1783. While arguments often contained religious concerns, there were also economic and secular reasons for the condemnation of slavery. Both Benjamin Franklin and the econo...

Like the quirky child of nature that she is, Stargirl changes the words of the morning pledge so that they are about turtles, fruit bats, the planet earth, and black bean burritos. That is, instead of saying "I pledge allegiance to the flag of the United States of America," Stargirl says "I pledge allegiance to United Turtles of America," then goes on from there to discuss the other animals, our planet in the Milky Way, and the burritos. Note that she mentions that the planet is "incredible," and that she leaves the word "justice" in the pledge--it must be important to her, something that she sees as not necessarily tied to nationalism. On the surface, Stargirl's behavior here is just odd and silly. The other kids at school think it's funny (they're not offended or anything, since the narrator describes them as somewhat less than patriotic) and they start to say the pledge in this way, also. You can see Stargirl's influence on the...

After the Transcontinental Railroad was completed in 1869, the trip from New York to California became much shorter. The trip took about a week, while before the railroad was built, travelers had to make a long and dangerous journey across the ocean and across Panama. The shipping of goods from coast to coast became much faster and far less expensive, and trade across the continent greatly increased. For example, a decade after the railroad opened, freight worth $50 million was transported on the railroad from coast to coast each year. Producers on the west coast could now have access to markets in the east, and those in the east could ship products west. In addition, products from the middle of the country were developed and brought to market. In addition, the railroad facilitated westward expansion and the growth of industrial centers in the west.

Romanticism was a literary and artistic movement that lasted from the late 18th century to the middle of the 19th century. In terms of poetry, Romanticism is known as the successor to the previous period, Neoclassicism. Neoclassicism was a movement that paid homage to Classical literature. These poets stressed structure, order, and reason. Conversely, the Romantic poets focused more on subjectivity, emotion, and experimentation. Given the Romantic's interest in subjective, emotional experiences in art, the poetry tended to be more personal than that of their Neoclassical predecessors. Wordsworth's poem "Lines Composed a Few Miles Above Tintern Abbey" is about a the poet's return to a place of his youth. In perceiving this old haunt, the poet reimagines his experiences as a younger man. He finds a connection with nature once again and treats this act of perception as an active, rather than a passive, experience. In other words, the act of perceiving becomes like an...

To determine the convergence or divergence of a series `sum a_n` using Root test , we evaluate a limit as: `lim_(n-gtoo) root(n)(|a_n|)= L ` or `lim_(n-gtoo) |a_n|^(1/n)= L `  Then, we follow the conditions: a) `Llt1` then the series is absolutely convergent. b) `Lgt1` then the series is divergent . c) `L=1 ` or does not exist  then the test is inconclusive . The series may be divergent, conditionally convergent, or absolutely convergent. We may apply the  Root Test  to determine the convergence or divergence of the  series  `sum_(n=1)^oo 1/5^n.` For the given series `sum_(n=1)^oo 1/5^n,` we have `a_n =1/5^n.` Applying the Root test, we set-up the limit as:  `lim_(n-gtoo) |1/5^n|^(1/n)=lim_(n-gtoo) (1/5^n)^(1/n)`  Apply the Law of Exponents:  `(x/y)^n =(x^n/y^n)` . `lim_(n-gtoo) (1/5^n)^(1/n)=lim_(n-gtoo) 1^(1/n)/5^(n*(1/n))`                        ` =lim_(n-gtoo) 1^(1/n)/5^(n/n)`                        ` =lim_(n-gtoo) 1^(1/n)/5^1`                        ` =lim_(n-gtoo) 1^(1/n)/5` Eva...

Friar Laurence's speech at the beginning of Act II, Scene 3 reveals two important things about the Friar and also helps establish one of Shakespeare's themes in the play. First, the Friar's speech indicates that he understands the properties of many of the weeds and flowers that he is gathering in his garden before Romeo shows up. This ability foreshadows later events when Friar Laurence mixes a potion which makes Juliet appear to be dead. The audience knows from this scene that it is quite possible for the Friar to concoct such a chemical. He understands that plants contain both medicine and poison, and that one simple flower, while smelling sweet, may also cause a fatal overdose: Within the infant rind of this weak flower Poison hath residence and medicine power: For this, being smelt, with that part cheers each part; Being tasted, stays all senses with the heart. Friar Laurence also understands that the behavior of men is similar to the properties of plants. Men can be h...

Matter is composed of particles.  Particles are composed of one or more type of atom. Changes in Matter Physical Change : Physical change occurs when the particles of a substance become rearranged, but do not change into different particles.  Examples : melting, dissolving, tearing. Chemical Change : Chemical change occurs when the particles of a substance do change into different particles.  Examples : burning, reacting. Egg Chemistry Egg whites are composed of curled up strands of amino acids called globular proteins . The shapes of these proteins are maintained by weak chemical bonds. When eggs are fried, they absorb heat energy. This breaks the weak chemical bonds that maintain the shape of the egg white proteins, causing them to uncurl. New chemical bonds form between the uncurled egg white proteins. When chemical bonds are broken or formed, new particles are created. Therefore, frying an egg is a chemical change because it results in the formation of new particles. 

When Jimmy is released from prison in the opening part of "A Retrieved Reformation," he goes to the rented room that has been kept for him by Mike Dolan to get his suitcase full of specialized safe-cracking tools. The reader learns that Jimmy had had a previous run-in with the bank detective Ben Price. There on the floor was still Ben Price's collar-button that had been torn from that eminent detective's shirt-band when they had overpowered Jimmy to arrest him. So Ben Price knows Jimmy to be a safe-cracker because he had already arrested him at least one time. This was for what the author describes as the "Springfield job" for which Jimmy was sentenced to four years in state prison but managed to get pardoned after serving only ten months. Once Jimmy obtains his set of burglar tools he commits three bank jobs. Ben Price is called in to investigate because of the size of the loot and the rapid sequence of the robberies. He may not know Jimmy very well persona...

According to Orwell, using large and/ or foreign words has several effects on writing and society, most or all of which are bad. Orwell develops a number of categories of language use. One of these is "pretentious diction." That's where this sort of language would most often fall. Orwell says people use this sort of inflated language to "dress up" simpler ideas. So, the first impact is to make basic thoughts seem more important than they are. A related issue is that people use this language to make biased perspectives seem objective. That goes beyond an impact on language; it affects society and politics. Another of Orwell's categories is "meaningless words." Long and foreign words are often meaningless, or close to meaningless. As a result, these words are wasteful. In general, what Orwell calls "inflated style" works to blur key details and "corrupt thought." It gets in the way of understanding and makes us think worse.