Onboard Note

All bills, except money bills, may begin in either the House of Representatives or Senate. To make it easier, I will share the steps that a money bill must follow in order to become a law. The steps are the same for all bills, but a money bill must start in the House of Representatives. The bill must be introduced into the House of Representatives. Once the bill is introduced, it will go to a committee in the House of Representatives. This committee will decide if the bill should move forward. If the committee doesn’t feel the bill should move forward, then it will kill the bill by voting not to present it to the entire House of Representatives. If the bill clears the committee, then the full House of Representatives will vote on the bill. If it passes, it will go the Senate. Once the bill passes the House of Representatives, it will go the Senate and be introduced there. It will then be assigned to a committee of the Senate. This committee will decide if the bill should move forward. ...

I would argue that the central theme of Freak the Mighty is friendship. Kevin and Max are both misfits who do not fit in with their peers due to their respective physical and learning disabilities (and Max's murderous father). The author shows that because of their respective disabilities, each child is capable of seeing the other child as a human being and potential friend. Kevin and Max in many ways become one person to overcome their respective limitations. Max utilizes his physical strength to help Kevin navigate the world more easily, and he also thinks Kevin's crutches and leg braces are cool. Kevin uses his imagination and intellect to give Max hope and encourage him in managing his learning disability. Both children become stronger (as individual units and as a team) because of their friendship.

The Pioneers mourns the loss of the wilderness of Natty's youth to the forces of farming, overhunting, and settling. Roads have arrived, and Natty comments on the destruction of animal life that has come with the influx of settlers: “Ah! The game is becoming hard to find, indeed, Judge, with your clearings and betterments,” said the old hunter, with a kind of compelled resignation. Characters feel differently about nature. On one side are people such as Natty, who regret the way the wilderness is changing and especially resent the greed and carelessness with which many of the new settlers are treating the treasures of nature. Natty advocates for living in harmony with nature rather than dominating it. The Mohican Chingachgook also believes in preserving the careful balance of nature and taking only what you need. Judge Temple mirrors Natty's point of view about conservation and supports the idea of laws to limit the destruction being wrought on the natural world: “The Legislatu...

Although Anne Frank is living in a most dire situation with her family, her diary reveals that she is still a teenage girl who is expressive, opinionated, and bordering on ostentatious at times. She writes about her fellow family members in hiding and their frivolous behavior given their situation. While writing about her annoyance with such actions, she uses such conduct and previous resentments with family members to justify her own reckless behavior. Anne Frank's entries also show the typical conflicts experienced among siblings with various personality types. While Margot is attractive, well-liked, and well-behaved, Anne demonstrates a more rebellious attitude that causes tension with her mother. Anne uses this tension to justify her more eccentric behavior, and the fact that her father does not openly disapprove of her gives Anne all the more reason to feel justified in her actions. However, we also see Anne's humanity, as she can recognize these qualities about herself. I...

In the novel, conflicting national identities highlight divergent approaches to life. Basically, the role of national identity in The Crossing is to draw attention to the stark differences in philosophy that separate two cultures. The rugged individualism of the American West is personified in Billy Parham (our sixteen year old protagonist), while the primitive wildness of the Mexican landscape is embodied by the she-wolf. At the beginning of the novel, Billy manages to track down and catch a pregnant she-wolf. He tells us that the wolf had crossed the "international boundary line" to track her own kind: "She was moving out of the country not because the game was gone but because the wolves were and she needed them." Billy asserts that the she-wolf knew nothing of "boundaries." Her main purpose was to reconcile with her own kind and to thrive. On her arduous journey to New Mexico, she subsisted on nothing but carrion for two weeks. By the time she reached ...

The concept that time represents the fourth dimension is widely accepted in the science and math community. Einstein theorized that the four dimensions were inextricably connected, introducing the concept of “spacetime,” which greatly expanded scientific and mathematical understanding of the universe. The recent discovery of Gravitational Waves has served to solidify Einstein’s theories regarding a four-dimensional physical universe. However, the fourth dimension is a difficult idea to wrap one’s mind around because it is not something that is easily visualized. Time cannot be sped up or slowed down, or moved from place to place like an object on a three-dimensional plane. It may be simpler to think about the fact that an object must exist in a certain location (space) at a given time in order to be seen (observed) in the physical universe.  

The background setting of World War I is essential to the short story "The Scarlet Ibis" because it connects to the theme. The author, James Hurst, wanted readers of his short story to consider how the war fought among "brothers" in Europe paralleled the conflict between Doodle and his brother. Hurst felt that there is always harm done when people try to force others to transform into images of themselves, whether within a family or among countries. It is only after many months of working with Doodle, teaching him to swim and row a boat, that the brother finally realizes that the small boy will never compete with others as an equal. In bitter disappointment, the brother hurries ahead of Doodle after the rowing lesson despite Doodle's cries not to leave him. Finally, because of his exhaustion, the brother stops and waits for Doodle. When Doodle does not appear, the brother retraces his steps and, unfortunately, finds Doodle sitting with his face buried in his arm...

Determine $\displaystyle \frac{dy}{dx}$ of $\displaystyle \tan(x-y) = \frac{y}{1+x^2}$ by Implicit Differentiation. $\displaystyle \frac{d}{dx} \left[ \tan (x-y) \right]= \frac{d}{dx} \left(\frac{y}{1+x^2}\right)$ $ \begin{equation} \begin{aligned} \frac{d}{dx} \left[ \tan (x-y) \right] &= \frac{(1+x^2) \frac{d}{dx} (y) - (y) \frac{d}{dx} (1+x^2)}{(1+x^2)^2}\\ \\ \sec^2 ( x-y ) \cdot \frac{d}{dx} (x-y) &= \frac{(1+x^2)\frac{dy}{dx}-(y)(0+2x)}{(1+x^2)^2}\\ \\ \left[ \sec^2(x-y) \right] \left( 1-\frac{dy}{dx} \right) &= \frac{(1+x^2) \frac{dy}{dx} - 2xy}{(1+x^2)^2}\\ \\ \sec^2(x-y) - \sec^2(x-y) \frac{dy}{dx} &= \frac{(1+x^2) \frac{dy}{dx} - 2xy }{(1+x^2)^2}\\ \\ (1+x^2)^2 \left[ \sec^2(x-y)-\sec^2(x-y)\frac{dy}{dx}\right] &= (1+x^2) \frac{dy}{dx} - 2xy \\ \end{aligned} \end{equation} $ $ \begin{equation} \begin{aligned} (1+x^2)^2 \sec^2 (x-y) - y' (1+x^2)^2 \sec...

A thesis makes an argument that you intend to prove with evidence from the text. It could legitimately be about all kinds of different topics and still be a solid thesis statement. Is there something specific about the story or the characters that really grabs you and makes you think about something? If that is the case, then formulate your thesis around that idea. If you are coming up blank, then stick with a thesis that does either a theme analysis or a character analysis. More often than not, those two will blend together anyway, as one tends to support the other. For this story, there are definitely themes of love, falling in love, coming of age because of love, falling out of love, and the like; however, I think there's more to the story than simple love and heartbreak. I think at the story's core is a theme of self-deception and reality, or perception vs. reality. The essay could compare and contrast Edie's, Alice's, and even Mrs. Peebles's warped perception o...

No, piano-playing is not a theme in Frank Conroy's short story collection Midair. It isn't a theme in the title story either. There is a short story in the collection, "Roses," which focuses on an artist, but nothing about piano-playing. However, music and the piano in particular were an important part of Conroy's life. In fact, Conroy was an excellent jazz pianist and performed in many jazz clubs. He even won a Grammy award in 1986. Piano-playing is an important theme in another of Conroy's novels, Body and Soul. The novel follows a child prodigy gifted with incredible musical talent. This very same talent is both a blessing and a curse, as it ultimately leads him to discover that he has no space for anything in his life but music, not even love.

Many of John Steinbeck's short stories and novellas take place in the Salinas Valley, like "The Chrysanthemums" and Of Mice and Men. Steinbeck grew up in the Salinas Valley, and he knew the area well. Therefore, many of the characterizations he presents in his texts are realistic. In "The Chrysanthemums," Elisa, the protagonist, lives in the Salinas Valley. She is used to travelers passing her home. This time, however, the caravan does not simply pass by. It stops. Elisa, squatting on the ground, watched to see the crazy, loose-jointed wagon pass by. But it didn't pass. A man approaches Elisa, asking her if he is on the right road to the Los Angeles highway. One reason Elisa is willing to speak to the man is that he is seeking out information that she has. Elisa continues to speak freely with the man for a couple of reasons. First, she seems to spend a lot of time alone. Her husband is at work, and there does not seem to be another family close to where she ...

Faber delivers much wisdom to Montag, not least of which is the introduction to the fact that there exist ways of being beyond what the state demands of its people. The moment Montag begins his search for a story/moment/place of origin from which to understand the books, he inscribes, for the first time in his life, his own story, in which he is protagonist and his actions might produce legitimate consequences affecting his reality. Literature in this sense provides a pedagogical function in teaching him how to open himself up to a form of learning that requires intellectual engagement rather than passive acceptance. In describing how words and ideas took on objective essences, Beatty recounts a society in which minorities were the first to burn books, inciting others to do the same so as to satisfy everyone and eradicate room for discussion and dissent. “Colored people don’t like Little Black Sambo. Burn it. White people don’t feel good about Uncle Tom’s Cabin. Burn it. Someone’s writ...

So is being in the anger management program countas a subculture 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.

Dixon's book describes the South during Reconstruction as overrun by overreaching northerners who, against the doctrine of states' rights and the wishes of the former Confederates, impose the will of ill-educated former slaves on Southern society. The federal government is to blame for these misfortunes, Dixon asserts, as they carry out a plan that puts power in the hands of the inferior black people, and his work perpetuates ideas of black inferiority and white supremacy. At the beginning of Book 1, in the chapter "The Assassination," Elsie Stoneman, a nurse, is crying over a Confederate soldier who will be put to death for being a traitor. The surgeon says of the young man,"I tell you, Miss Elsie, it's a sin to kill men like that. One such man is worth more to this Nation than every negro that ever set his flat foot on this continent!" The Confederate soldiers are described as dashing, noble, and divinely sanctified. Their lives, according to Dixon, ar...

The setting for chapter 7 is the woods overlooking Stromford Village. This is because Crispin is on the run after being pursued by Aycliffe, the steward. Aycliffe's pursuit compels Crispin to hide in the woods. In chapter 4, we learn that Crispin has to return to the forest after he discovers that the bailiff, Roger Kinsworthy, and the reeve, Odo Langland, are making their way to his cottage. Both men are carrying pikes and axes, which further alarms Crispin. The young boy climbs up a high rock near the forest's edge. From there, he has a panoramic view of the entire village and its surroundings. In chapter 6, Crispin sees a search party setting out with glaives (long poles with sharp blades) and bows. The steward and bailiff are heading the group. Crispin knows that the men are looking for him. In chapter 7, Crispin continues to hide in the woods. At one point, the men approach his hiding spot. Fortunately, they do not see him, as he is hiding in the thick foliage of an oak tr...

I disagree with the first answer addressing 1984 as a ‘love story’; The characters do not end up together and worse, the main character first imagines raping the girl he later comes to sleep with. This is not love or lust, rape is about control. This shows that the character lacks control in his life, and this is not a feeling, but a fact. 1984 is a warning, but moreso on how easily people can be persuaded to switch their thinking in an instant, without thinking, and see their ally as their enemy in mere seconds. It also reveals the shocking effects of propogranda at the end, along with the lasting effects of torture induced PTSD. Between the two, Brave New World is a far better warning of the current world and future; Orwell believed mankind would live in a bleak, cruel world, where Huxley believed control lied in drugging the population into happiness. Many conspiracy theorists agree more with Huxley, and Orwell, proving his arrogance, sent Huxley a copy of his book for his...

The protagonist of The Ponder Heart is Edna Earle, who has to manage the family's hotel and prevent her eccentric Uncle Daniel from giving away what remains of the family's fortune. As she says, "It's always taken a lot out of me, being smart" (10). While Edna Earle loves many aspects of her uncle, Daniel, and calls him the "sweetest, most unspoiled thing in the world" (11), Daniel is the antagonist of the novella. Working in opposition to Edna Earle, he gives away the family's possessions without restraint, including trips to Memphis, a string of hams, a pick-up truck, and even a heifer. Eventually, Daniel's largesse becomes so unrestrained that Edna Earle and Daniel's father, Sam, try to have Daniel put in an institution. They later coerce Daniel into marrying a wealthy widow, but Daniel foils Edna Earle's plans at every step.

Figurative language is any phrase or sentence that is not meant to be taken literally. Similes and metaphors are subcategories of figurative language. Like most works of fiction, The Jungle Book is filled with examples of figurative language used to describe characters and their inner states of being, settings, and even action as it happens. Here are a few examples of author Rudyard Kipling's use of figurative language. From "Rikki-Tikki-Tavi": "It is the hardest thing in the world to frighten a mongoose, because he is eaten up from nose to tail with curiosity." The mongoose Rikki-Tikki-Tavi is not literally eaten up (by curiosity or anything else). It's a metaphor for how fundamental the trait of curiosity is to a mongoose's personality. From "The Song of Mowgli": "These two things fight together in me as the snakes fight in the spring." Mowgli is referring to the fact that he feels both joy at Shere Khan's defeat and a sorrowful...

Hello! It is obvious that there is no linear formula exactly connecting these x's and y's, if we consider the slopes between neighbor points: (155 - 134)/(31 - 30) = 21, (165 - 155)/(33 - 31) = 5, (167 - 165)/(35 - 33) = 1. For a single line, all these slopes must be the same. But this isn't the whole story. We may seek such a line y=ax+b that would be the closest to all these points. The simplest criteria of such a proximity is the least squares one, which means we try to minimize sum_(k=1)^n (y_n-(ax_n+b))^2. This problem has the exact unique answer (see for example the link attached). We have to compute the numbers p=sum_(k=1)^n x_k^2,  q=sum_(k=1)^n x_k,  r=sum_(k=1)^n x_k y_k  and  s=sum_(k=1)^n y_k. In our case  p=4175, q=129, r=20115 and s=621. Then we solve the linear system for the unknowns a and b, pa+qb=r,  qa+nb=s  (here n=4). I hope you know how to solve such systems, the solution for this is a=351/59, b=-2160/59.   https://web.williams.edu/Mathematics/sjmiller...

The 1820s and 1830s are known as the era of "Jacksonian Democracy" after President Andrew Jackson. In the election of 1828, when Jackson was first elected, voter participation reached an unprecedented 60%, meaning 60% of the population that was eligible to vote cast ballots. By comparison, voter participation in the 2016 election was 60.2%. Jackson considered himself a "Champion of the Common Man" and appealed to a wider variety of voters. He was the first president who came from a state other than Virginia or Massachusetts, and, instead of being a former lawyer or politician, Jackson was an army hero from the War of 1812. However, he was also a controversial figure: most notable was his Indian Removal Policy (among other undemocratic policies). Several changes facilitated the rise of voter participation in US politics. In the early nineteenth century, states began implementing changes that made more people (though still only white men) eligible to vote. In most sta...

Socrates (c. 470–399 BCE) left no written record of his philosophy or his teachings. Everything we know about Socrates and his understanding of the qualities of wisdom come to us secondhand, primarily from the writings of his follower Plato (c. 428–347 BCE) and his student Xenophon (c. 431–354 BCE). In Plato’s Apologia Socrates (Apology of Socrates), which recounts Socrates's defense of himself at his trial in 399 BC, Plato quotes Socrates as saying that “an unexamined life is not worth living.” In other words, it's vitally important to "know thyself," and it's equally important for a person to know what they don't know. To "know thyself" and to discern the limits of one's knowledge, Socrates employed a question-and-answer method of elenchus (examination) attributed to him and called the "Socratic method." Socrates believed that self-knowledge occurs only in the context of a question-and-answer dialogue with others. By this method, Socr...

sqrt(x+y)=1+x^2y^2 dy/dxsqrt(x+y)=dy/dx(1+x^2y^2) 1/2sqrt(x+y)^(-1/2)(1+dy/dx)=x^2(2y)dy/dx+y^2(2x) 1/(2sqrt(x+y))+(dy/dx)/(2sqrt(x+y))=2x^2ydy/dx+2xy^2 dy/dx((1)/(2sqrt(x+y))-2x^2y)=2xy^2-(1)/(2sqrt(x+y)) (dy/dx)((1-4x^2ysqrt(x+y))/(2sqrt(x+y)))=(4x^2y^2sqrt(x+y)-1)/(2sqrt(x+y)) dy/dx=(4x^2y^2sqrt(x+y)-1)/(2sqrt(x+y))xx(2sqrt(x+y))/(1-4x^2ysqrt(x+y)) dy/dx=(4x^2y^2sqrt(x+y)-1)/(1-4x^2ysqrt(x+y))

The question above is a little vague, as it says "from 'Hips' to this story" without specifying to what story the asker is alluding, but analyzing Esperanza's views of her sexuality as the story progresses through the book is conceivable. For example, in the vignette entitled "Hips," Esperanza talks about waking up and noticing that she has hips. She compares her hips to the blooming of roses overnight. The comparison seems fanciful in nature because not only is it a new experience that she has probably been waiting for, but it also represents her maturation into womanhood—and womanhood can also imply sexuality. However, Esperanza's young mind thinks of hips as being useful for balancing babies. Then, she considers the science behind the evolution of hips and their structure. Notice, though, that her young mind does not really think about hips along the lines of sexuality. There is a hint of that as she considers the following: "You gotta be abl...

Hilly Holbrooke and Skeeter (Eugenia) Phelan are characters in Kathryn Stockett's novel The Help. The main thing they have in common is their background—they both belong to wealthy, well-established Southern families. They are both young women living in Jackson, Mississippi, in 1962; they have the same social status and they (initially) belong to the same circle of friends. However, the similarity ends there. When the novel opens, Hilly is married and has children, while Skeeter has just graduated from college. Skeeter is bothered by the relationship between the white women and their black maids ("the help") and decides to write a book exploring this relationship. This project has personal significance to Skeeter because she misses her family's maid, Constantine, who raised her when she was a child. Skeeter is very aware of the whites' and blacks' common humanity. ("I did not know there were so many laws separating us," she says about the Jim Crow la...

In Toni Cade Bambara’s short story “Raymond’s Run,” Squeaky goes through a metamorphosis. Her attitude changes from a little girl who will do anything to maintain her reputation as the fastest runner in the neighborhood. She is a tough young woman who will stand up for her beliefs until she either has to fight or flee. I’m ready to fight, cause like I said I don’t feature a whole lot of chit-chat, I much prefer to just knock you down right from the jump and save everybody alotta precious time. She is fiercely protective of her brother Raymond, who lives with a developmental disability. Her only family responsibility is to care for him, and she protects him from the wrath of other neighborhood children.  One of her important attributes is that she is willing to practice constantly to maintain her prowess as the fastest runner. In fact, she despises other girls who pretend they do not need to practice in order to excel. She has a difficult time maintaining friendships with other girls, a...

Emily Dickinson and Walt Whitman are widely regarded two most important American poets of the nineteenth century and are frequently compared, due to both their equal mastery of verse and their contrasting styles. Dickinson used very spare but precise language, while Whitman often used lists of nouns to encompass the breadth of the American and human experience. Dickinson's verse takes up very little space on a page, whereas Whitman's nearly runs off of the page, which gives some indication of each poet's style. "I am Nobody, who are you?" is cleverly "self-effacing." Dickinson exclaims her anonymity and capitalizes "nobody," just as she capitalizes "somebody." We could chalk this up to her writing convention, which did not follow general rules of capitalization—or we could use this to suggest that she intended to express the sense that anonymity is just as valid as choosing a life of fame. Dickinson, we now know, was very private and ...

The court case of Marbury v Madison was an important one in the American political system. This court case gave the Supreme Court the power to determine if laws passed by Congress were constitutional. This was a huge factor politically, because it served as another check on the power of Congress. Prior to this decision, there was no way that laws could be declared unconstitutional. Congress now had to consider if a proposed bill would meet the constitutionality test, which could potentially alter the wording of bills to ensure, if Congress passed them, the Supreme Court wouldn’t strike them down. This power has frustrated both the executive and legislative branches. President Franklin Roosevelt wanted to add younger judges, whom he felt were more in touch with the daily lives of the American people after the Supreme Court had struck down some of the New Deal bills that Congress had passed. Members of Congress also have had concerns that unelected judges were getting involved in the law...

In The Canterbury Tales, Chaucer pays great attention to the clergy. Already in the Prologue, six clerics are described in detail. These are the Prioress, the Monk, the Friar, the Summoner, the Pardoner, and the Parson. The other two, the second Nun and the Priest, are only mentioned here, but later they tell their own tales. Chaucer’s clergy are not just a list of characters, for the most part disagreeable, but they are also personalities interacting with one another. For example, the Summoner and the Pardoner might be in a homosexual relationship, while the Pardoner and the Friar dislike each other. It is the characters’ interaction that allows the reader to see the church and its ills from the inside. It is possible too that by considering the church and its representatives in such a peculiar way, Chaucer is trying to make sense of the causes of its degradation. Chaucer expresses a personal attitude to each of his characters. Sometimes, it is explicitly negative, as is the Friar’s c...

Though FDR and a number of other leading American politicians were profoundly sympathetic toward the plight of Europeans, isolationism remained the dominant attitude in the United States. World War II was regarded as a European war; it was a conflict in a faraway continent that had nothing to do with the United States. America had found itself embroiled in a European war less than a quarter of a century before, yet Europe was now more unstable than ever. If the United States could not bring long-term stability to Europe in World War I, asked isolationists, how they could possibly do so now? A series of Neutrality Acts passed by Congress prevented the Roosevelt Administration from actively getting involved in the rapidly spreading European conflagration. For his part, FDR tried to water down isolationist legislation, but the official policy of his administration remained one of formal neutrality. However, slowly but surely, Roosevelt offered more and more support to Great Britain in ter...

Philip Larkin's poem, "Next, Please," tells a message about the uncertainty of the future; the speaker of the poem would likely agree with this mash-up of two old cliches: the only certainty in life is uncertainty, except for death (and taxes, as the saying goes). As well, the speaker warns of the foolishness of expecting anything at all to happen the way we want, hope, or believe it will, except perhaps the end of life itself. The poet uses various literary devices to teach the reader this lesson about living in the moment. The most significant metaphor in the poem compares expectations about the future to a "sparkling armada" (line 6) that approaches but "never anchors" (line 14). Close reading of this metaphor reveals the speaker's attitude towards hopes and dreams that promise adventure and potential yet fail, over and over, to deliver. The only metaphorical ship that does arrive is "black-sailed" (lines 21-22) and "towing at her...

For one thing, "doublethink" is itself a Newspeak word. It means, in short, to hold two contradictory beliefs at the same time, recognizing that they are contradictory, but accepting both. But before exploring the concept of "doublethink," one has to understand what Newspeak is. It is, in short, the language promoted by the Party, one which is intended to eliminate shades of meaning and words that are deemed unnecessary. The point of this, as Syme, a Party philologist, makes clear to Winston, is mind control. In short, the Party wants to eliminate the possibility of "thoughtcrime," or intellectual heresy, by eliminating unorthodox concepts. One can't commit treason if there are not words and concepts to imagine it. As Syme says, with every edition to the language, "the range of consciousness grows smaller and smaller," to the point where any ideas not in line with Party orthodoxy will be eliminated. It is the ultimate form of mind control. ...

Additionally, Winnie's mother and grandmother view their home as a place of safety and well-being. When Winnie is playing outside in chapter 3, talking to a nearby toad, her mother calls out to her, "Come in now, Winnie. Right away. You'll get heat stroke out there on a day like this" (14). Her mother and grandmother are not only worried that Winnie might get dirty playing outside, but they are also worried that she might get ill from the heat. Soon after, in chapter 4, Winnie talks to a stranger described as the man in the yellow suit. Winnie is pleasant while conversing with this man and answering his questions. After, her grandmother overhears her talking to him, a stranger, and she comes outside to see what is happening. She shows signs of being worried about this man's presence. The book describes how she "squinted suspiciously" at him (19). Overall, she seems concerned for the safety of her granddaughter as she questions him: "We haven't m...

“Rip Van Winkle” is the story of a henpecked husband who mysteriously falls asleep for twenty years. When he awakes, everything in the village is seemingly different. The only things that remain the same are the Catskill Mountains (called the “Kaatskill Mountains” in the text), revealing the significance of the mystical setting and indicating that the mountains have a profound influence over the events of the plot. The story opens with an explanation of the setting. The opening line states, “Whoever has made a voyage up the Hudson must remember the Kaatskill mountains” (Irving). This is followed by an in-depth description of the “magical hues and shapes of these mountains” (Irving). The beginning of the story emphasizes the setting, calling it memorable and magical and effectively foreshadowing the strange events to come. Later, after another disagreement with his wife, Rip escapes to the mountains. On his journey, he has “unconsciously scrambled to one of the highest parts of the Kaat...

To apply the Root test on a series sum a_n , we determine the 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. To apply the Root Test to determine the convergence or divergence of the series sum_(n=0)^oo e^(-3n) , we let a_n = e^(-3n) . Apply Law of Exponent: x^(-n) = 1/x^n . a_ n = 1/e^(3n). Applying the Root test, we set-up the limit as: lim_(n-gtoo) |1/e^(3n)|^(1/n) =lim_(n-gtoo) (1/e^(3n))^(1/n) Apply the Law of Exponents: (x/y)^n = x^n/y^n and (x^n)^m= x^(n*m) . lim_(n-gtoo) (1/e^(3n))^(1/n) =lim_(n-gtoo) 1^(1/n)/(e^(3n))^(1/n) =lim_(n-gtoo) 1^(1/n)/e^(3n*1/n) =lim_(n-gtoo) 1^(1/n)/e^((3n)/n) =lim_(n-gtoo) 1^(1/n)/e^3 ...

Suppose that $\displaystyle A = \left\{ -8, -\frac{2}{3}, -\sqrt{6}, 0, \frac{4}{5}, 9, \sqrt{36} \right\}$. Simplify the elements of $A$ as necessary and then list the elements that belongs to Whole numbers. The whole numbers from the list are $\{ 0,9,\sqrt{36} \text{ or } 6\}$

In Ray Bradbury's "All Summer in a Day," the people who live on Venus only see the sun for an hour once every seven years. The story revolves around a class of nine-year-olds who were born on Venus and cannot remember what the sun looks or feels like. Margot, however, who was born on Earth, remembers the sun vividly. Margot's perspective provides many figures of speech and descriptions about the sun. For example, Margot recalls the following about the sun: "About how like a lemon it was, and how hot. . . 'I think the sun is a flower. . . It’s like a penny,' she said once, eyes closed. . . 'It’s like a fire,' she said, 'in the stove.'” In the above passage, there are three similes and one metaphor that Bradbury uses to describe the sun through Margot's eyes. First, the similes compare the sun to a lemon, a penny and a fire in a stove. Then, a metaphor compares the sun to a flower. These comparisons are based on Margot's perspective ...

The six big events in Act II of the play are as follows:  1. Willy asks his younger boss, Howard, to take him off the road, so he doesn't have to travel anymore because he's "a little tired." (p. 56) 2. Howard fires Willy despite his 34 years with the company and need for a paycheck. "I think you need a good long rest," Howard says. (p. 59) 3. Charley offers Willy a job which he turns down, but he does take a loan. (Charley tries to get through to Willy: why does everybody have to like you? he asks. What difference does that make, he implies? ) (p. 70)  4. Willy has dinner with his sons and Biff tries to tell him he didn't get the hoped-for interview with Bill Oliver and that it always was a fantasy to think he would, trying, like Howard and Charley, to get Willy to live in reality. "Let's hold on to the fact tonight, Pop." (p. 78) 5. A flashback to the summer the young Biff found Willy cheating on his wife (Biff's mother) in the hotel ...

Jack London's Burning Daylight was his most popular novel during his lifetime and was published in 1910. London himself died in 1916. Under copyright law in most places in the world, a book goes out of copyright (meaning that it can then be made available freely online, among other things) seventy years after the death of the author. As such, Burning Daylight, like London's other works, is no longer protected by copyright. This is good news for us because it means we can find the work online, where it has been transcribed and uploaded by Project Gutenberg, among others. Project Gutenberg is an excellent resource if you are looking for an older work, as it has a vast library containing most classic works of fiction in English. Burning Daylight can be found here: http://www.gutenberg.org/ebooks/746 Of course, if you would like to read the book in a paper copy, it is also still in print and can be purchased from Amazon and many other online book retailers.

Determining how many people can afford to buy a new home depends on how you define “afford.” Generally speaking, most home buyers are expected to dedicate about 25% of their income to mortgage payments. Lenders are reluctant to make loans to potential buyers if they think they won't be able to make the payments, so they look at the income-to-mortgage percentage carefully. This is especially true now, after the disastrous role failed mortgages played in the recent recession. Most home ownership, historically, has been driven by the middle class. In recent decades, middle class income has been more stagnant than it used to be. At the same time, fewer of the smaller, more affordable houses are being built, as builders have focused on larger, more expensive homes. According to the website Businessinsider.com, only about 40% of American households make enough money to handle the average mortgage on a new house (if you use the 25% ratio explained above). This number could be higher if wa...

In addition to the possible theses outlined in the other answer to this question, it's worth considering building a thesis around the absence of father figures in these three stories. Indeed, though each story gives us a snapshot into three distinct families, none of them produce stable or reliable father figures. In "The Sisters," the narrator lives with his aunt and uncle, and seems to have looked up to Father Flynn as a kind of father figure, as it's suggested that Father Flynn gave him an education of some kind. However, the deceased Father Flynn also seems to be have been complicated himself, with the final image of him laughing in the confession box suggesting sinister undertones to the old man's kindliness and unsettling our image of him as a stable masculine presence. Likewise, in "Araby," the narrator lives with his aunt and uncle, and the latter seems not only not to care about his nephew's expressed wish to visit the bazaar, but also seems...

From the text, we get the idea that Arun is trustful, compassionate, perceptive, as well as philosophical about life. He is the type of man who doesn't let life worry him, and he takes each day as it comes. Although Arun appears to be a poor man, he still consents to take Deepak in. As for our protagonist, Deepak isn't his real name (he has alternately called himself Ranbir, Sudhir, Trilok, or Surinder). When Deepak pesters Arun to let him work for him, Arun reluctantly agrees. He can't pay Deepak but promises to feed him if he will cook for both of them.  Deepak maintains that he can definitely cook. In reality, however, he's a terrible cook, and Arun has to give the first meal Deepak makes to the neighbor's cat. In the end, Deepak's charm wins Arun over, and Arun decides to keep Deepak on as a sort of errand-boy. In exchange, Arun teaches Deepak how to write, to cook, and to add money on paper; he welcomes Deepak into his home wholeheartedly and unreservedly. ...

As well as needing to kill the wild boar because he's hungry, Mafatu's also desperate to prove his bravery, to prove that he's a man and not a boy. In doing so, he will seek to emulate the courageous deed of his grandfather, Ruau, who once killed a wild boar himself, earning the undying admiration and respect of his people. Grandfather Ruau made himself a necklace from the teeth of the animal, which he wore with pride, and which became a symbol of his courage. Mafatu plans to do the same. His reputation among his people is less than impressive. If he's to follow in the footsteps of his father, the Great Chief, then he's going to need to perform a truly heroic deed, and that means killing a wild boar. Making himself a necklace out of the boar's teeth will be a tangible symbol of his bravery, just as it was for his grandfather.

In Shakespeare's Twelfth Night, Feste is the fool in Countess Olivia's household. He has served the house for years, entertaining Olivia's father until his death, but Olivia criticizes him over his frequent absence; however, he continues to spend the play entering and exiting the action seemingly at random. His primary job is to entertain, and he does so with songs, dances, wordplay, and mockery of the people around him. Feste's role as a character is primarily pointing out the flaws and absurdities in the behavior of the other characters in the play. For example, he mocks Olivia for her self-indulgent mourning, and points out the excessive moodiness of Duke Orsino's behavior. Feste's presence in the play seems almost omniscient, as he seems to know more about the characters than the audience does and appears in the midst of important actions or conversations frequently. His role in the play is to inform the audience about the characters, make moral judgements a...

In the story, the Canterville Ghost gave Virginia a box of jewels before he died. Upon Virginia's return to her family, she presented her father, Mr. Otis, with the box of jewels. Later, however, Mr. Otis offered the box of jewels back to Lord Canterville because he felt that the priceless gems rightly belonged to the Canterville family, rather than his own. As a simple man from a working-class background, Mr. Otis did not feel that he had a right to lay claim to what was obviously his aristocratic counterpart's property. Additionally, the gems were of "great monetary worth, and if offered for sale would fetch a tall price." To Mr. Otis, it was quite clear that the jewels were Canterville heirlooms, and he wanted to return them to their original owners. The only thing Mr. Otis requested was that Virginia be allowed to retain the box the jewels came in. Despite his surprise at a child of his "expressing sympathy with mediaevalism in any form," Mr. Otis felt c...

In "A Supermarket in California," Allen Ginsberg movingly contrasts themes of connection and isolation as he imagines encountering the poet Walt Whitman in a fruit market late at night. Ginsberg pays homage to the expansiveness and sensuality of Whitman's poetry, but recognizes the limitations of this legacy in his own life. In the opening of the poem, the speaker is "shopping for images," or seeking inspiration for writing. A late-night fruit market provides the opportunity to reflect on and imitate the qualities of Walt Whitman's poetry, which famously embraces sensuality and unites the experiences of a world full of people. Ginsberg uses lists of people and groceries to create a full, lively landscape. His descriptions are playful, placing "Wives in the avocados, babies in the tomatoes!" in a hyperbolic moment of excess. At this point, the supermarket becomes a place where the literary legacy of Walt Whitman is physically manifested. The scene e...