Notes

Hamlet opens with an atmosphere of of gloom and foreboding. Not only has King Hamlet, Hamlet's father, died recently, the guards on duty at the castle are discussing  disquieting events with Horatio. The guards have seen the ghost of the dead King Hamlet, a disturbing enough situation, but beyond that, Marcellus notes that cannons are being made and shipwrights are building ships in "sweaty haste." Horatio informs Marcellus and the other guards that the rumor is that young Fortinbras, "of unimproved mettle, hot and full," is preparing to march on Denmark to regain the lands his father, who was slain in battle, lost to King Hamlet. Therefore, Denmark is readying itself for war. If being faced with an invading army were not enough, the Danish court itself is corrupt. People serve their own interests rather than the larger good of the country. Claudius, for example, has murdered his brother so he can become king, and courtiers like Polonius are more concerned with...

The conversation between Rikki-tikki and Chuchundra isn't long or deep, but I think it reveals two specific things about Rikki-tikki. The first thing the conversation reveals about Rikki-tikki is that he is a picky predator. In reality, a mongoose hunts a variety of prey, but in Kipling's story, Rikki-tikki is only concerned about hunting snakes. I believe Rikki-tikki hunts snakes in the story because he sees them as a threat to himself and his friends. Chuchundra isn't a threat to Rikki-tikki, so Rikki-tikki thinks Chuchundra's fears are unwarranted.   "Don't kill me," said Chuchundra, almost weeping. "Rikki-tikki, don't kill me!" "Do you think a snake-killer kills muskrats?" said Rikki-tikki scornfully. The second thing the conversation reveals about Rikki-tikki is that he is not afraid to use physical pain to extract information. "I didn't—so you must tell me. Quick, Chuchundra, or I'll bite you!" Rikki-tikki ju...

One way that readers understand the danger posed to Jerry at the "wild and rocky bay" is through Lessing's word choice. Once Jerry gains some independence from his mother and goes to his own beach, he spies "inlets of rough, sharp rock," and says the choppy surface of the water looked like "stains of purple and darker blue." Words like rough and sharp sound painful, and stains of purple and blue sound like a description of bruises, which are also painful. As Jerry swims out further, he sees "rocks [that] lay like discolored monsters under the surface," and "irregular cold currents from the deep water shocked his limbs." The simile that compares rocks on the bottom of the ocean floor to strange monsters is certainly ominous and concerning, conveying a sense of the danger here. Further, that Jerry's body can be "shocked" by unforeseen cold currents also implies a danger and lack of predictability on this beach.

In Chapter 11, Scout asks her father what the term "nigger-lover" means. Atticus tells Scout that it is a term that really doesn't mean anything, similar to the term "snot-nose." Atticus goes on to say that ignorant people use it when they feel that somebody is favoring Negroes over themselves. Atticus also says it is never an insult to be called something that somebody thinks is a bad name because it says more about the person and doesn't hurt you. I would agree with Atticus' statement concerning derogatory comments and insults. I do believe that insulting comments are a reflection of the person who says them. In regards to racial slurs, I believe that they significantly reflect the person's character when spoken. I also agree with Atticus when he says that ignorant individuals use derogatory terms. However, I do not agree with his assessment that insults do not hurt others. Insults can be hurtful and many people take offense to them. 

After World War II, the communists, led by Mao Zedong had many advantages. They controlled the important areas of eastern China and around a quarter of the land.  A very important strategy that Mao Zedong utilized was to win favor with the peasants, which were an overwhelming majority of the population.  He promised that he would create reforms that would improve their lives.  For this reason, Mao was extremely popular.  Unemployment and other economic difficulties in Nationalist-controlled areas were making their leader, Chiang Kai-Shek equally unpopular.   So with popular sentiment on the side of Mao, he planned and coordinated a very cautious strategy to win the war.  He would concede land to the nationalists in instances where his forces were outnumbered.  In this way, he was able to preserve the number of troops fighting for him rather than wasting them in battles they could not win.  Support, in the form of weapons from the Soviet Union, was also an important advantage that Mao h...

Harper Lee explores several significant themes throughout her novel To Kill a Mockingbird . The most prevalent theme throughout the novel deals with prejudice. Lee depicts Maycomb's prejudiced feelings toward African Americans, Alexandra's prejudice towards people from society's lower-class, and the community's prejudice towards the Radley family. Another theme that Lee examines is the treatment of innocent beings. One of Atticus' most famous statements is when he tells his children that it is a sin to kill a mockingbird. Mockingbirds symbolically represent innocent beings like Tom Robinson and Boo Radley. Atticus is essentially teaching his children to stand up for innocent people and treat them with the utmost respect. Lee also explores the theme of childhood innocence. As the novel progresses, both Jem and Scout experience events that alter their naive perception of the world. They both lose their childhood innocence after witnessing Tom's wrongful convict...

At the end of Edgar Allan Poe's "The Fall of the House of Usher," both Roderick and his sister Madeline, the last of the Usher family, are dead. More specifically, Madeline escapes from her tomb deep in the vaults of the house and locks her brother in a deadly embrace that results in the deaths of both siblings. It also motivates the narrator of the story to flee from the home (and its apparently crazy former inhabitants), whereupon he witnesses the house of the Usher family ruinously tearing itself in two. In short, the ending of the story implies the destruction of the House of Usher in two ways. On a literal level, the actual house of the family (which potentially exerted a sinister will over the members of the family) is in ruins. On a more subtle level, the Usher family (or "house," as prominent families were sometimes called) has just gone extinct after generations of incestuous relationships. As such, at the end of the story we're not only witnessing ...

Marlow admits that he has always been fascinated by maps, especially "blank" unexplored areas of maps, and that the one "blank" space on the map that most intrigued him was Africa, especially the region around the Congo River. Marlow's fascination with this area can partly be explained as a boy's idealistic tendency to view adventures into the unknown as exciting. However, there are darker, more sinister elements also at work here. For instance, Marlow also suggests that the Congo River on the map resembled a snake, and that it exerted a dark, hypnotic power over him. Thus, we get the sense that exploration of the river is analogous to an exploration of something much darker, such as the evil in the heart of all humans.  Knowing these facts, we can suggest two reasons for Marlow's desire to pilot the steamboat up the Congo River. The first is that Marlow is trying to fulfill a boyhood fascination with traveling in the area. The second is that a part of M...

Holden Caulfield is an interesting character in that his own actions do not reflect his beliefs about how others should act and who they should be. Throughout the book, he expresses the idea that a person should be exactly who they present themselves as; if they turn out to be somewhat different than they appear to be, he refers to them as "phony." This is fascinating because in the book we see that Holden is very dishonest when interacting and speaking with others; he often pretends to be someone that the reader knows he is not. He is critical of the people that he meets, yet he is lonely and in need of companionship. He wants to be able to know who a stranger is, and yet he lies to them constantly about who he is. When he escapes his prep school to journey into the city of New York, he is shocked at how people's behavior does not live up to his expectations.  Mr. Haas, Holden's headmaster at the school, is frequently described as one of these "phonies." He...

A sugar is defined by the Oxford English Dictionary as, "Any of the class of soluble, crystalline, typically sweet-tasting carbohydrates found in living tissues and exemplified by glucose and sucrose." There are many types of sugars, which are categorized into two classes: monosaccharides  (1 sugar unit) and  disaccaharides  (2 sugar units). Table sugar is a disaccharide. The three monosaccharide sugars are  glucose,   fructose, and galactose.  Glucose is found in carbohydrates such as wheat flour and starch. Fructose is found in fruits and vegetables. Galactose is found in some milk, gums, artificial jellies, and artificial beverage flavoring. The chemical formula for monosaccharides is  C6H12O6. Disaccharide sugars are formed through a combination of two monosaccharide molecules to form  lactose, sucrose , and maltose.  Lactose (glucose+galactose) is found in milk. Sucrose (glucose+fructose) is found in sugar cane and byproducts of cane sugar including table sugar. Maltose ...

The title of the novel Golden Boy itself is referencing the stereotypical ideal of an American male teenager. In the story, Max comes from a wealthy, loving family, in a close-knit community that supports each of its members. However, the "golden boy" is on the verge of losing his status if the community finds out his secret—that he is intersex. His family wants to continue the idea that he and they are normal, and so want to hide his diversion from "normalcy." Losing their normalcy would be equivalent to ruining their reputation and thus their power within the community. Max himself is struggling to come to terms with who he is as a person, knowing that his identity has more power and influence on his family than he ever intended or wanted it to. His choices may disrupt the community in a major way, despite their very personal nature. His power, his family's power, and the power of the community lie in sticking to the status quo and remaining "normal....

The manner in which Kinsella depicts baseball shows some of the strongest examples of selflessness in Shoeless Joe . The game of baseball is shown to be bigger than the individual.  Baseball is able to link different people from different time periods.  It is a unifying force that causes individuals to merge their own identity into something larger.  When Ray and Joe stand on the baseball field, the selflessness intrinsic to baseball's love is displayed:  “God what an outfield,' he says. 'What a left field.' He looks up at me, and I look down at him. 'This must be heaven,' he says."  Both men are from different time periods and hold different experiences.  Their only common link is baseball. As it binds both of them, baseball represents selflessness.  "Heaven" for both men is a baseball diamond.  Their own individual experiences dwarf in the face of baseball, a universal energy that transcends the individual self.  Salinger communicates this same ...

It could be argued that Macbeth makes poor decisions more than that he is unlucky, but he encounters an element of poor luck at two crucial moments early in the play. First, it is a stroke of bad luck that he discovers he has become Thane of Cawdor right after his encounter with the witches, who prophecy he will be Thane of Cawdor and greet him by that name. This leads Macbeth to put too much weight on the witches' seemingly wild prophecy that Macbeth will become King of Scotland. He starts to believe it could be true. His second moment of ill luck occurs when, just as he has decided it would be a bad idea to murder Duncan, who is a good king and a man to whom he is offering hospitality, his wife intervenes. Lady Macbeth speaks so forcefully about her own desire to "unsex" herself and even says she would go so far as to dash her baby's brains out if she had promised to do so, that Macbeth feels compelled to go through with the murder, even though he knows it is only g...

Every species has its particular niche role and function in an ecosystem. Depending on which species is being lost, the impact can be small or very significant. For example, if we lose a particular species of wolf that is more adept at tracking their prey (say through scent), then the prey will have lost their most significant predator and would grow in numbers. This will cause an over-predation of plant materials and will enable this prey species to outnumber other herbivorous species, thereby changing the dynamics of the ecosystem. Overall the loss of biodiversity means genetic variations are lost and the overall genetic pool reduces. It has also been estimated that the loss of biodiversity may cause a significant reduction in the productivity of the ecosystem, and the effects could be severe enough to rival climate change. Hope this helps. 

To apply  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. In order to apply  Root Test  in determining the convergence or divergence of the  series  `sum_(n=0)^oo 5^n/(2^n+1)` , we let: `a_n =5^n/(2^n+1)` We set-up the limit as:  `lim_(n-gtoo) |5^n/(2^n+1)|^(1/n)=lim_(n-gtoo) (5^n/(2^n+1))^(1/n)` Apply Law of Exponent: `(x/y)^n = x^n/y^n` and `(x^n)^m = x^(n*m)` . `lim_(n-gtoo) (5^n/(2^n+1))^(1/n)=lim_(n-gtoo) (5^n)^(1/n)/(2^n+1)^(1/n)`              `=lim_(n-gtoo) 5^(n/n)/(2^n+1)^(1/n)`              `=lim_(n-gtoo) 5^1/(2^n+1)^(1/n)`              `=lim_(n-gtoo) 5/(2^n+1)^(1/n)` Apply the limit property: `lim_(x-gta)[...

One such act was the Pacific Railway Act, passed in 1862. This act promoted westward expansion by providing enormous swaths of land to two companies--the Central Pacific and the Union Pacific--to construct a railroad that connected Omaha, Nebraska to the west coast. This act had been long in coming, but several schemes to construct such a railroad had floundered amid the sectional tensions of the period. The West is often imagined as a space where individuals could escape the strictures of the East, and it was, but the reality is that the federal government played a major role in its settlement. In this case, the dangers and expenses inherent with constructing railroads through mountain ranges and across lands occupied by Native Americans were so high that federal assistance was viewed as absolutely necessary. Once the transcontinental railroad was complete in 1869, a pattern was set for railroad construction in the West. Railroad companies received massive land grants, which they not ...

Before the Industrial Revolution, being a weaver was a solitary and isolated occupation. Furthermore, without human contact, people often develop odd ways to compensate for their loss of socialization. In the time of the setting of Eliot's novel, also, people were anything but peripatetic; instead, they stayed close to where their parents lived. To the peasants of old times, the world outside their own direct experience was a region of vagueness and mystery. . . a settler, if he came from distant parts, hardly ever ceased to be viewed with a remnant of distrust (Chapter 1). Weavers were sometimes not considered members of the community. At any rate, they often lived outside a village and among superstitious people, and the "questionable sound of the loom" held a "half-fearful fascination" for boys of the village, who would peep into the window of the weaver and taunt him (Chapter 1). Because of the repetitious nature of this indoor occupation, the weaver seemed ...

There are two definite occurrences in which Ambrose Bierce uses situational irony in his short story, "Chickamauga."  Situational irony is defined as a literary device in which what is expected to happen is the opposite of what actually happens.  In this story, the little boy is first frightened by a rabbit.  "Advancing from the bank of the creek he suddenly found himself confronted with a new and more formidable enemy: in the path that he was following, sat, bolt upright, with ears erect and paws suspended before it, a rabbit! With a startled cry the child turned and fled, he knew not in what direction, calling with inarticulate cries for his mother, weeping, stumbling, his tender skin cruelly torn by brambles, his little heart beating hard with terror--breathless, blind with tears--lost in the forest!" It is ironic that something as harmless as a rabbit, which is an animal of prey and not a predator, frightens the little boy to the point that he runs so far as to ...

All the atoms in an element have the same number of protons. An element is the purest form of matter and consists of atoms. For example, iron is an element and consists of iron atoms. Interestingly, all the atoms of an element may or may not be identical. The differences between the atoms may be caused by different numbers of sub-atomic particles in them. Protons, neutrons and electrons are the sub-atomic particles of interest. All the atoms in an element will have the same number of protons and electrons, although some atoms may have different number of neutrons. Such atoms, containing different numbers of neutrons, are called isotopes. Protons are positively charged particles. The number of protons in an atom is the same as the atomic number of that element. For example, sodium has an atomic number of 11 and its atoms contain 11 protons each. Hope this helps.

I believe that the Missouri Compromise was a rather brilliant idea given the circumstances at the time, so I hope I would have solved the issue of Missouri’s statehood just the way Congress did at the time.  Let us look at the other choices and why they are less attractive. First, Congress could have rejected Missouri’s application and made it continue as a territory.  I do not think this would be a good solution because it would deny the people of Missouri their rights as Americans.  It would, for example, have denied them representation in Congress and a vote in the Electoral College.  It is not right for Americans to be without these things. Second, Congress could have either voted Missouri in as a slave state or a free state without doing anything else.  This might seem more moral.  It was definitely morally wrong to have slaves and it would have been more moral to prohibit slavery in the new state.  The problem is that this could have destroyed the United States.  It could have ma...

Let's start with what's good about Antonio: He is sociable, loyal, caring and generous. We know he is social since we first meet him in a social situation with two of his friends, Salarino and Salanio. It is evident from their conversation that they know each other well and share a close relationship, since the two men express concern about Antonio's depressed state. Furthermore, the men seem to have in-depth information about his personal affairs since they easily refer to them. The manner in which they address each other is also evidence of the gentlemanly courtesy and respect they share. When Salarino and Salanio take their leave, Antonio is joined by Bassanio, Lorenzo, and Gratiano. He is obviously popular. Their conversation follows the same pattern as the previous one. Furthermore, the men jibe about Antonio's condition and he does not take any offense, which indicates a good spirit and a generally positive frame of mind. We learn about Antonio's loyalty and g...

For the given problem: `int_0^1 xe^(x^2)` , 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 omit the arbitrary constant C when we have a boundary values: a to b. We follow formula: `int_a^b f(x) dx = F(x)|_a^b` .  Form the table of integrals, we follow the indefinite integral formula for exponential function as: `int xe^(-ax^2) dx = - 1/(2a)e^(-ax^2) +C` By comparison of` -ax^2`  with` x^2 ` shows that we let `a= -1` . Plug-in `a=-1` on `-ax^2` for checking, we get: `- (-1) x^2= +x^2` or `x^2` . Plug-in `a=-1` on  integral formula, we get: `int_0^1 xe^(x^2) =- 1/(2(-1))e^((-(-1)x^2))| _0^1`               `=- 1/(-2)e^((1*x^2))| _0^1`               ` = 1/2e^(x^2)| _0^1` Applying definite integral formula: `F(x)|_a^b = F(b)-= F(a)` . `1/2e^(x^2)| _0^1 =1/2e^(1...

Updike's 1958 poem on the subject of a puppy's death is filled with pathos without lapsing into obvious sentimentality or a maudlin tone. A good way to approach an analysis of this poem is to consider Updike's techniques. Look at how he arranges the stanzas and count the lines in each. Analyze the rhyme scheme; is it regular or irregular? Once you've determined that, think about why that might be appropriate to the subject. What words are repeated? Why would they be? What is the speaker's tone, and what words contribute to creating the tone? How does imagery function in the poem? Are any of the images symbolic? Remember that modern poems are often meant to observe; what might Updike be observing about the role that pets play in our lives?  What attributes are ascribed particularly to dogs, and how is that at work in the poem? How does the puppy's young age (i.e. not yet housebroken) add to the pathos? Here are some literary terms that you should consider in writ...

It sounds like the question is asking for a short character description of the twins.  They are occasionally referred to as "Stars and Stripes," and they are the youngest members of the Otis family.  I have always found it interesting how characterizing the twins can be done as if they are a single character.  They are most definitely rambunctious troublemakers.  Soon after learning about the ghost, they begin plotting ways to antagonize Sir Simon.  They are creative in their efforts as well.  They pull off just about every prank from summer camp imaginable.  They string a rope across the hall to trip Sir Simon.  They set a bucket on top of a door to fall on him.  They lube up the floor to make it slippery.  They shoot their pea shooters at the ghost, and they even make a fake ghost to scare Sir Simon.  Their efforts to scare Sir Simon work quite effectively.  All in all, the Otis twins seem to be perfect examples of stereotypical naughty children. 

During Glaspell's classic short story "A Jury of Her Peers," Minnie Wright does not appear in her own house. Instead, she is absent. To be specific, she's in jail. This is indicated in passing, through conversation. When Mrs. Hale and Mrs. Peters are talking about what happened, and why they are there, the subject of Mrs. Wright wanting them to bring her apron to her comes up. Mrs. Peters says, "…there's not much to get you dirty in jail, goodness knows." This indicates Mrs. Wright is in jail, and that she's likely to stay there for long enough to need things from home. Just as Mrs. Wright's place in her home played a role in the crime, her place in the jail plays a role in how the women make sense of things. The only other places Minnie Wright appears in the story are in the dialogue among the characters (mainly Mrs. Hale and Mrs. Peters), and in their memories.

We can use the conservation of energy to solve this problem. Since the block oscillates on the frictionless surface, the sum of its kinetic energy and the potential energy of the spring remains constant: `E = mv^2/2 + kx^2/2` . Here,  v is the speed of the block at the time when the spring is the length  x shorter than its equilibrium length. We are given that the block has speed  v = 0.5 m/s when  x =  4 cm = 0.04 m. This means the total energy of the block is `E = 50kg*(0.5 m/s)^2/2 + 80 N/m*(0.04 m)^2/2 = 6.31 J` . The block has the greatest speed when it passes the equilibrium position, that is, when the spring is not stretched and  x = 0. At that point the total energy of the block is its kinetic energy: `mv_(max)^2/2 = E = 6.31 J` . From here, solving for the greatest speed of the block results in `v_(max) = sqrt((2E)/m) = 0.503 m/s` The greatest speed of the block is 0.503 m/s.

The overall theme for this question is that in the absence of any external influences, total momentum (as well as total internal energy) is always conserved.  The basic principle behind getting both astronauts back to the ISS is for the first astronaut (5 yards away from the ISS) to rescue the second astronaut (10 yards from the ISS) before they both can return to the ISS together.    A) If we consider the system of reference to be the ISS, Astronaut 1, and Astronaut 2, then both astronauts posses 0 momentum as they are both floating alongside the ISS, neither moving towards or away from it in any direction.  Astronaut 1 should take one of the tools from their belt and throw it in the opposite direction as Astronaut 2.  This will impart momentum (inertia in motion) to the tool as it will begin moving towards the ISS.  However, according to Newton's 3rd Law, Astronaut 1 will now possess that same amount of momentum, but in the opposite direction (towards Astronaut 2).  In short, thi...

In Chapter 24, the aides, assisted by two black boys, beat by a margin of twenty points the team that McMurphy and the other men get together on the ward. McMurphy's team, composed of Harding, Billy Bibbit, Scanlon, Fredrickson, Martini, and McMurphy, is slow and short. Chief says, "But something happened that let most of us come away feeling there’d been a kind of victory, anyhow." When a black guy named Washington is trying to get the ball, someone hits him with an elbow. Blood pours out of his nose and chest like "paint splashed on a blackboard," and his teammates have to hold him back as he yells at McMurphy. McMurphy's response is just to sit on the ball and pay no attention to Washington. Though the team made up of men on the ward loses, they have a kind of psychological victory by even having a team and by watching Washington bleed so profusely. 

John Locke's revolutionary theory of the Social Compact, or Social Contract, served as the inspiration for a "government of the people, by the people, and for the people." In other words, Locke's theory that governments derive their legitimacy from the "will of the people," gave rise to the notion of self-governance, and thus modern representative democracy. The social compact theory that Locke put forth stated that a group of people could agree to hold themselves accountable not to a monarch, but instead to a group of principals and laws that they would obey. Once this set of laws or principles (the social contract) was established, based on the values of those who drafted that contract, everyone in the community would have to obey the contract's provisions, or face the consequences. The notion of having an actual constitution (in document form) came from Montesquieu, who took the social compact theory a step further. Montesquieu argued that it was not ...

There are three distinct triangles using 12 matchsticks: 3-4-5,4-4-4, and 5-5-2. Note that for a given number of matchsticks M, if the sides of the triangle are labeled a,b, and c (without loss of generality let c be the longest side) then a+b+c=M, a+b>c and c<M/2. We can generate the number of triangles for a given M: For 24 matchsticks the possible triangles are 11-11-2,11-10-3,11-9-4,11-8-5,11-7-6,10-10-4,10-9-5,10-8-6,10-7-7,9-9-6,9-8-7,8-8-8 or 12 possible triangles. There are 19 possible triangles for M=30. For M>=3 then (M,number of triangles) is (3,1),(4,0),(5,1),(6,1),(7,2),(8,1),(9,3),(10,2),(11,4),(12,3),(13,5),(14,4),(15,7),(16,5),(17,8),(18,7)... There is a formula for this: If M is even then the number of triangles is the integer closest to M^2/48. If M is odd then the number of triangles is the integer closest to (M+3)^2/48 For example, if M=12 we have 12^2/48=3. If M=14 we have 14^2/48=4.083333 so there are 4 triangles. If M=9 we have (9+3)^2/48=3. If M=11 we h...

In the beginning of The Hunger Games, Katniss is someone who is completely dedicated to taking care of her family, doesn't have many friends, and is used to living a very harsh lifestyle, albeit with small pleasures. She lives in District 12, where she is known by many as someone who illegally hunts and sells meat in the district. One major change in her character involves Katniss changing from someone who utilizes genuine, no-holds-barred frankness, to someone who learns how to be more tactful and likable (at least when on television). When Katniss volunteers as tribute in the Games to protect Prim, she suddenly finds herself on public television for the first time. The whole world is watching her, but this is just the beginning. When she arrives at the Capital, she has to prepare for an interview, as do the rest of the tributes. She is nervous, and Haymitch has her try on all sorts of personalities to try to make her likable and appealing to the crowd in some way, but nothing wor...

This story recounts many detailed memories of Christmases Buddy spent with his elderly cousin Sook, and though he is describing one particular Christmas he often mentions that their activities are things they have done in years past. We learn near the end that this is their "last Christmas together." This fact imbues the details of the story with more intensity, and perhaps explains why Buddy/Capote felt the need to tell the story. There are also hints that this particular Christmas contained some occurrences that had not happened before; for example, there is a bit of whiskey left in the bottle after the fruitcakes are done, and they both drink it. This causes Buddy's other family members to scream at his cousin for endangering a child and also for the immoral act of drinking whiskey (they are quite religious). Buddy tries to comfort Sook's hurt feelings, telling her she is too old to cry, to which she replies, "I am too old; old and funny." We learn this i...

The narrator in "We Are Seven" gets into a good-natured argument with the little maid he meets. The narrator asks the eight-year-old how many brothers and sisters she has, and she tells him, "We are seven." She goes on to explain that two of her siblings have "gone to sea," and two live in another town. Two more have died and are buried in the churchyard close to where the girl lives with her mother. The narrator then repeats what the girl has told him and tries to clarify that, in that case, she has only four siblings, or five children in her family. The girl relates that she knits her stockings and eats by the graves of her dead brother and sister. She sings to them and sits with them. To her, they are still her siblings--as much as the ones who have gone to sea or live away from home. The narrator is puzzled that she counts the dead siblings as her siblings still. He tries to explain the difference between those who live on this earth and those who are...

First, it's important to determine the character of the young man before we begin our letter. Identifying the young man's temperament and personality-type will help us to stay as true to character as possible. This will lend an authentic quality to the letter we write. From the story, we can see the young man considers himself cosmopolitan and wise. Nonetheless, he prizes purity above all else in a woman. The story begins with the young man going on vacation with his girlfriend. She's twenty-two, and he's twenty-eight. One quality the young man likes about his girlfriend is her innocence; she's unlike all the other girls he has dated. Let's take a look at some quotes that can help formulate a letter: He enjoyed her moments of shyness, partly because they distinguished her from the women he'd met before, partly because he was aware of the law of universal transience, which made even his girl's shyness a precious thing to him. Now sitting face to face with...

Solve `log_2(x+1)=log_8(3x) ` : Rewrite using the change of base formula: `(ln(x+1))/(ln(2))=(ln(3x))/(ln(8)) ` `(ln(8))/(ln(2))=(ln(3x))/(ln(x+1)) `  But `ln(8)=ln(2^3)=3ln(2) ` so: `3=(ln(3x))/(ln(x+1)) ` `3ln(x+1)=ln(3x) ` `ln(x+1)^3=ln(3x) ` `(x+1)^3=3x ` `x^3+3x^2+1=0 ` The only real root is negative. Assuming that we are looking for real solutions to the original equation, and the domain on the right side is x>0, there is no solution. There is no real solution to the equation. The graph of the functions:

Ambassadors are high-ranking government diplomats who are sent to embassies abroad to represent their home government. Ambassadors are responsible for duties such as giving speeches on behalf of their home government, hosting political events, and holding meetings with the leaders of the countries in which they are stationed. Additionally, ambassadors serve as the representatives of all citizens of their home country living in the country they are stationed in. According to William C. Eacho, III, the U.S. ambassador to Austria, the position most similar to being an ambassador is being the CEO of a company. Both positions require strong and strategic leadership skills, as well as skills in interpersonal relationships and management. Ambassadors also manage government departments and NGOs in the country they are stationed in, which also involves management and organizational skills.

Significant figures can be annoying, but the fundamental principle underlying significant figures is a very important one: We don't want to lie about the precision of our results. Significant figure rules are the way they are because we want to accurately represent our results as neither more nor less precise than they really are. Keep this in mind, and the rules will become more intuitive to you. The simplest way to represent significant digits is to always use scientific notation. Then the number of digits in your mantissa (the part that comes before the 10^x business) is your number of significant digits. The reason that when we multiply we take the lowest number of significant digits is that this is the overall precision of our result; if we multiply 0.2 g/mol * 0.278 mol, that 0.2 g/mol is saying that we really only know it's about 1/5 of a gram per mole; could be 0.196, could be 0.215; so it wouldn't make sense to keep all three decimals in our final answer. Instead ...

The title of John Milton’s poem “On His Blindness” is first found in a 1761 edition of Milton's poetry. The poem was originally published in Milton's 1673 Poems , and was identified by a number and its first line or  incipit , "When I consider how my light is spent."  The poem is written in the form of an Italian or Petrarchan sonnet. It consists of fourteen lines divided into an octave rhymed ABBAABBA and a sestet rhymed ABCABC. The meter of the poem is iambic pentameter. The poem is autobiographical and written in the first person. The octave describes how blindness overtook a middle-aged Milton. A deeply religious writer, he felt his writing was part of his service to God and feels his blindness deprives him of the ability to serve God effectively. In some ways, he thinks God made him go blind as a rejection of him and his work.  Milton finds resolution in his sestet finds through the notion that God does not need humans to do his work for him; rather, God only ask...

The recovery plan for Europe focused around the treaty of Versailles which was crafted at the Paris Peace Conference in January of 1919 and also around President Woodrow Wilson's The Fourteen Points. The major focus of the fourteen points was the creation of the League of Nations. However, because the US never joined the League of Nations it was mostly ineffective. The Treaty of Versailles stipulated that Germany had to make reparations in excess of $33 billion. Germany eventually defaulted on the payments of these indemnities - which were largely to France- and the French economy nearly collapsed as a result. Moreover, because Germany was blamed for the war it caused a great deal of enmity among German people who  had to deal with bitter defeat, staggering reparations and the ceding of certain of its territories to the Allies. Out of this enmity grew the Nazi movement which played a huge role in World War II - a war which broke out twenty years after the signing of the Treaty of V...

The acceleration of a ball is constant; it is called gravity acceleration and is denoted as `g approx 10 m/s^2.` It is directed downwards. The upward vertical speed of a ball uniformly decreases until it becomes zero, and a ball reaches its maximum height at that moment. Then the vertical speed becomes downward and increases uniformly. The general formula is `V(t) = V_0 - g t,` where `V_0` is the initial upward speed. So the time needed to reach a maximum height is `t_1 = V_0/g.` The formula for height is `H(t) = V_0 t - (g t^2)/2.`  Thus the maximum height is `H_(max) = H(t_1) = V_0^2/(2g).` It is given, so we can find `V_0 = sqrt(2gH_(max)).` A ball falls at the moment `t_2gt0` at which `H(t_2) = 0,` so `t_2 = (2V_0)/g.` Substitute the formula for `V_0` and obtain `t_2 = 2sqrt((2H_(max))/g) approximately 2.8(s).` This is the answer.

The First Amendment states: Congress shall make no law respecting an establishment of religion, or prohibiting the free exercise thereof; or abridging the freedom of speech, or of the press; or the right of the people peaceably to assemble, and to petition the government for a redress of grievances. The idea behind freedom of speech is that citizens need to know they have the right to state their opinions without governmental limitations. This is a valuable freedom because it allows citizens to have a voice in changing unjust laws. Had there not been freedom of speech, the Civil Rights movement would have been significantly impeded, especially in the South.  This amendment doesn't allow limitations on free speech, even if the nature of the speech is heinous. I consider what Westboro Baptist Church does to be morally wrong, especially from a Christian perspective. In the Gospels, the four books of the Bible that describe Jesus Christ's life, Jesus had plenty of opportunities to ...

The fertilized ova were taken to the incubators where the Alphas and Betas were separated from the Gammas, Deltas, and Epsilons. The Alphas and Betas were bottled, while the Gammas, Deltas, and Epsilons were taken through the Bokanovsky process. The Bokanovsky process was carried out to ensure that the Gammas, Deltas, and Epsilons adapted to their life roles in the society. The process prevented normal developments in the fertilized ova. The first stage in the Bokanovsky process was exposing the ova to eight minutes of hard X-rays and allowing the ova to bud into four or eight buds. The buds were returned to the incubators and allowed to continue with normal growth in the second stage. Two days later, the buds were chilled and checked. In the fourth stage, the buds were given room to continue budding. In the fifth stage, the buds were doused in alcohol and allowed to continue budding. In the sixth stage, the buds were allowed to grow normally having reached their optimum budding point.

Reverend Hooper is a fictional character created by Nathaniel Hawthorne in his 1832 short story "The Minister's Black Veil." He is described as a pastor who "strove to win his people heavenward by mild, persuasive influences, rather than to drive them thither by the thunders of the Word." Hooper does not interact warmly with his congregation, though; in fact, "with the multitude, good Mr. Hooper was irreparably a bugbear." Jonathan Edwards was, by contrast, a highly-respected theologian and superstar guest minister who made the rounds of New England meetinghouses during the Great Awakening. His most famous sermon, "Sinners in the Hands of an Angry God," was not mild. In it, Edwards warned, "O Sinner! Consider the fearful Danger you are in: 'Tis a great Furnace of Wrath, a wide and bottomless Pit, full of the Fire of Wrath, that you are held over in the Hand of that God." Puritanism was a difficult religion in which to feel secur...

Recall the  Root test  determines 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. For the given series `sum_(n=0)^oo (2x)^n` , we have `a_n = (2x)^n` . Applying the Root test, we set-up the limit as: `lim_(n-gtoo) |((2x)^n )^(1/n)| =lim_(n-gtoo) |(2x)^(n*1/n)|`                                   `=lim_(n-gtoo) |(2x)^(n/n)|`                                   `=lim_(n-gtoo) |(2x)^1|`                                   `=lim_(n-gtoo) |(2x)|`                                   ` =|2x|` Applying  `Llt1` as the condition for an absolutely convergent series, we let `L=|2x|` and set-up the interval of convergence as: `|2x|lt1` `-1 lt2xlt1` Divide each part by 2: `(-1)/2 lt(2x)/2lt1/2` `-1/2ltxlt1/2` The ...

The short answer is  No . The cell membrane in cells is an essential part of the cell. It separates the inside and the outside of the cell. In a way, the cell membrane defines the region that actually  is  the cell. It is made up of molecules called phospholipids that come together a structure called the lipid bilayer. The nature of this bilayer allows it to be selectively permeable. Moreover, various proteins are anchored in this cellular membrane, proteins that are also essential for the life of the cell. Hence, it serves as a platform for proteins and other biomolecules, and a sort of selectivity filter for what comes in and out of the cell.  The importance of the cell membrane is hence, paramount to the survival of the cell. It maintains homeostasis, or internal balance, and also maintains the shape and structure of the cell. By getting rid of the cell membrane, not only is the internal balance and equilibrium of the cell broken, the entire structure and shape of the cell disappear...

While it might be simple to say that the resolution is in the last lines of "The Scarlet Ibis" as the brother finds Doodle dead under the nightshade bush, my opinion is different. Instead, I believe the telling of the story itself serves as resolution for the brother who is narrating the story of his childhood relationship with Doodle. In the first two paragraphs, the brother suggests he is telling the story as a flashback with many years between the actual events and time of the telling ("the grindstone begins to turn, and time with all its changes is ground away–and I remember Doodle"). Often, the simple act of writing something down can help to bring closure to an important or traumatic event in one's life. Throughout the story the brother admits guilt, in his cruelty toward Doodle, his embarrassment in having a crippled brother and his excessive pride in his attempts to change Doodle. In his narration, he all but admits to contributing to Doodle's death ...

In this paragraph, Mrs. Mallard has come out of the shock and dismay which overwhelmed her when she first learned that her husband had been killed in a "railroad disaster." While she loved her husband, she seems to suggest here that she is happier without that love. She is actually overjoyed by being "free, free, free." She is, for once in her life, free of the repression she had been living under during a life that had been dominated by her husband. This story is an example of Kate Chopin's attitude that women are much more than simply loving creatures who were intended to be at the beck and call of their husbands. Instead of drifting deeper into depression over the loss of her husband, she is transformed: The vacant stare and the look of terror that had followed it went from her eyes. They stayed keen and bright. Her pulses best fast, and the coursing blood warmed and relaxed every inch of her body.  Without the love and repressive protection of her husband, a...

There are many different things that can be done to strengthen a fort or a garrison. Assuming we are talking about the 18th or 19th century, one of the first things that is done to strengthen a fort before a siege or attack is to increase the garrison, or in other words, call for more manpower to defend the fort. One of the most crucial aspects of preparing a fort for an attack was to make sure that you had enough food and supplies to withstand a lengthy siege. If a garrison had little to no food, the attacker could simply surround the fort and quickly starve the garrison into submission. Nothing makes a garrison surrender quicker than starvation or a lack of water. Another thing that can be done to strengthen a fort's defenses is to physically shore them up with more material. If there is a weak spot in the fort's wall, reinforcing that area is crucial for the defending garrison. 

At the beginning of Chapter 5, Ponyboy wakes up in the abandoned church and attempts to remember how he ended up getting there. As he is pumping water from the spigot behind the church, he mentions "It seemed much longer than twenty-four hours since Johnny and I had met Dally at the corner of Pickett and Sutton" (Hinton 60). Ponyboy then begins to think about worst case scenarios until Johnny returns from the store. The reason Ponyboy commented that it seemed longer than twenty-four hours from the time he met Dally on the corner of Pickett and Sutton is because so much had happened in the past day. Ponyboy and Johnny had snuck into the movies and ended up hanging out with two Soc girls. After the movies, Ponyboy and Johnny stayed out late daydreaming until Ponyboy realized that it was past his curfew. When Ponyboy returned home, he got into an argument with Darry and ended up running away. Johnny then met him at the park, and the Socs showed up. Bob Sheldon attempted to drow...

A single bank creates money under the fractional reserve system by lending out more money than it takes in in deposits.  This is one reason why banks are so important in our system. When a person deposits money in the bank, that money does not simply sit there.  Instead, the bank loans it out.  The bank is not allowed to loan all of the money out.  It has to keep some fraction of the money in what is called reserves, thus the term “fractional reserve” banking.  When it loans that money out, it creates money that had not existed before. Imagine that you deposit $1000 in the bank.  Let us say that the bank is required to keep 10% of that money in reserves.  It then lends me $900.  It has created $900 that had not previously existed.  You still have the right to $1000, but I also have $900 in money that the bank just created.  Now imagine that I deposit the $900 that I borrowed in my account.  The bank would have to keep $90 of it (10%) in reserve, but it could still loan out the other $8...

Chemical reactions occur when atoms of the reacting species come together to mix and/or rearrange to form new chemical species. Since it is simply a rearrangement of atoms, the total number of atoms of each element involved in the chemical species in the reaction must remain the same before and after the chemical reaction. This also reflects the law of conservation of mass.  To count the number of atoms of a particular element in a chemical reaction, count the number of atoms of that element in the compound involved (subscript) and multiply by the number of moles of the chemical in the reaction (coefficient). The number should be the same in both sides of the equation (reactant and product side) when the equation is balanced. `BeCl_2 + Al(NO_3)_3 -> BeN_2O_6 + AlCl_3` There are various ways to balance chemical reactions, and the technique to do it will vary from each person. Sometimes, it is easiest to look at the simpler compounds. For instance, there are two chlorine atoms in the ...

We are reacting lime water with excess carbon dioxide (CO2).  First, let's define lime water.  It is a solution of calcium hydroxide (Ca(OH)2) in water.  Calcium hydroxide is partially soluble in water and makes water alkaline, or basic on the pH scale.  If CO2 is bubbled through lime water it reacts with the calcium hydroxide to produce calcium carbonate.  The chemical reaction is shown below. Ca(OH)2 + CO2 --> CaCO3 + H2O Calcium carbonate is very insoluble in water so it will precipitate from solution as if forms.  So if carbon dioxide gas is bubbled through a clear, colorless solution of lime water, the water will become hazy and milky colored as the calcium carbonate precipitates as a white solid suspended in the water.

The last paragraph of "The Garden Party" has to do with the effect of death upon the consciousness of a person. After Laura "crosses the broad road" that divides her upper-class home from those at the bottom of the hill and visits the house of the man who was killed, she realizes that despite differing social classes, everyone shares a common humanity. It seems that Laura's encounter with the dead Mr. Scott has a profound affect on her. While she is at first nervous about going down the hill and bringing the leftovers of the garden party to the poor Scotts, Laura is brought into the house by the sister of Mrs. Scott. Being rather uncomfortable in the presence of the grieving woman, Laura tells the sister, "Please, please don't disturb her. I - I only want to leave—" Then, Laura tries to find the way outside, but instead walks into the room where the dead man lies. She feels that she should say something to Mr. Scott, who looks "so remote, so p...

I suppose that you could interpret the quote in a way that shows fishing and religion are equal in status.  I don't think it is necessary to think that way though.  I believe that the quote isn't meant to have the reader think the two are equal.  I think the quote is meant to highlight their similarities .   The narrator explains that both religion and fly fishing are life long endeavors.  Neither is ever totally mastered, but both are practiced daily, weekly, monthly, etc.  To be a devout religious person, it involves study, emotional desire, and practice.  Metaphorically, it involves the head, heart, and hands.  Fly fishing is like that.  It's not enough to know the motions.  You have to practice the motions.  It's not enough to like fishing, you have to study and practice it to get better at it.   I like the end of the quote in question as well. It explains that the narrator's father learned the craft of fishing and taught it to others. He's also the minister...

Early in the play, Creon proclaims that he is the kind of ruler who has "nothing but contempt for the kind of Governor who is afraid, for whatever reason, to follow the course that he knows is best for the State; and as for the man who sets private friendship above the public welfare," but his actions in attempting to spare Antigone, his niece, from execution for defying his order contradict his proclamation of being the upholder of law. Because she is his brother's daughter, he attempts to reason with her so that he doesn't have to have her executed. However, Antigone will not break; she stands by the morality of her decision to bury her brother even though in doing so, she has defied the state. It takes the deaths of his niece, Antigone; his son, Haemon; and his wife, Eurydice, for Creon to finally understand that his loyalty should have been to his family. He laments his blindness when he says, "I have been rash and foolish. I have killed my son and my wife. I...

What you are discussing here is what is called the "trolley problem." It was first postulated by British philosopher Philippa Ruth Foot in 1967, but has been discussed by many other philosophers. It is based on a thought experiment. Imagine that you are driving a trolley and the brakes fail. Ahead of you, you see five workers on the track. You also notice a spur off to your right occupied by a single worker. Most people would argue that the better ethical choice in this situation is to save the five workers. The choice to turn off on the spur has a double effect of saving five workers and killing one. The death of the single worker is an unintended consequence that you as a trolley driver did not actively will. In the second variant of the problem, one of the trolley passengers is a fat man. You have the option of pushing the fat man off the front of the trolley so that his body will slow the trolley down and save the workers. Morally, although the number of deaths are the sa...

LCD is an acronym for least common denominator. It is  the product of distinct factors on the denominator side. Basically, find LCD is the same as finding the LCM (least common multiple) of the denominators. For the given equation `1/(x-2)+2=(3x)/(x+2)` , the denominators are `(x-2)` and `(x+2)` . Both are distinct factors. Thus, `LCD = (x-2)(x+2) or (x^2-4)` To simplify the equation,we multiply each term by the LCD. `1/(x-2)*(x-2)(x+2)+2*(x-2)(x+2)=(3x)/(x+2)*(x-2)(x+2)` Cancel out common factors to get rid of the factor form. `1*(x+2)+2*(x^2-4)=(3x) *(x-2)` Apply distribution property. `x+2+2x^2-8= 3x^2-6x` Combine like terms. `2x^2+x-8+2= 3x^2-6x` `2x^2+x-6= 3x^2-6x` Subtract `2x^2` from both sides of the equation. `2x^2+x-6-2x^2= 3x^2-6x-2x^2` `x-6= x^2-6x` Subtract `x` from both sides of the equation. `x-6-x= x^2-6x-x` `-6= x^2-7x` Add `6` on both sides of the equation. `-6+6= x^2-7x+6` `0 = x^2-7x+6` Apply factoring on the trinomial: `x^2-7x+6` . `0 = (x-1)(x-6)` Apply zero-fac...

The ion tail and the dust tail of a comet point in different directions because they are reacting to different forces . The ion tail (also called the plasma tail) occurs from from a reaction of the ion `` from the comet with the magnetic field found in solar wind. This causes the ion tail to point directly away from the sun. Fluctuations in the magnetic field can cause twists, "knots" and other variations in the appearance of the ion tail. The dust tail of a comet is impacted by the force of radiation from the sun (called radiation pressure). Even thought the dust tail is formed by particles dislodged by the radiation pressure from the sun, the path of the dust tail is dictated by the movement of the comet. The direction of the dust tail points away from the sun but also behind comet, where the comet has traveled. This results in the dust trail having a curve that follows the comet on its orbit.

I will discuss each of the elements of literary analysis and how they are applied or are relevant in the poem "Dog's Death." The first element is setting,  which relates to the time, place, circumstances, conditions, and atmosphere in which a literary piece is set. In the poem, the physical setting shifts from the speaker's home to his car and then to the veterinarian. In each of the settings referred to in this regard, the atmosphere and tone are specifically mentioned. It is clear that the dog had been a much-loved companion "surrounded by love" at home, and she is described in warm tones, making the initial mood and tone bright and optimistic. The dog does well in following instructions and is complimented: "Good dog! Good dog!" Her death is poignantly depicted and the mood is sad and quite depressing in the journey to the veterinarian when she dies. Even the family's love could not save her: Though surrounded by love that would have upheld ...

Parametric curve (x(t),y(t)) has a horizontal tangent if its slope `dy/dx` is zero i.e. when `dy/dt=0` and `dx/dt!=0` It has a vertical tangent, if its slope approaches infinity i.e. `dx/dt=0` and `dy/dt!=0` Given parametric equations are: `x=t+1` `y=t^2+3t` `dx/dt=1` `dy/dt=2t+3` For Horizontal tangents, `dy/dt=0` `2t+3=0` `=>2t=-3` `=>t=-3/2` Corresponding point on the curve can be found by plugging in the value of t in the equations, `x=-3/2+1=-1/2` `y=(-3/2)^2+3(-3/2)` `y=9/4-9/2` `y=(9-18)/4=-9/4` Horizontal tangent is at the point  `(-1/2,-9/4)` For vertical tangents, `dx/dt=0` However `dx/dt=1!=0` So there are no vertical tangents .

Early in "The Red-Headed League," Sherlock Holmes surprises his friend Dr. Watson, as well as his new client Jabez Wilson, with the following deductions. “Beyond the obvious facts that he has at some time done manual labour, that he takes snuff, that he is a Freemason, that he has been in China, and that he has done a considerable amount of writing lately, I can deduce nothing else.” Wilson, a simple-minded man, is especially surprised. He asks: “How, in the name of good-fortune, did you know all that, Mr. Holmes?” he asked. “How did you know, for example, that I did manual labour. It's as true as gospel, for I began as a ship's carpenter.” “Your hands, my dear sir. Your right hand is quite a size larger than your left. You have worked with it, and the muscles are more developed.” These were still the days of wooden sailing vessels, and ship's carpenters were essential members of the crews. They not only had to keep the hull in repair but were always working on th...