Notes

When the birds attack Nat's home, he develops a rational explanation as he tries to make sense of this violent and unexpected behaviour. As he tells his wife, Jill, he believes that a change in the weather is responsible for their behaviour. Specifically, an east wind has caused the birds to become disorientated and hungry, as he explains: "It was the east wind brought them in. They were frightened and lost; they wanted shelter.” Nat also believes that this east wind has brought new flocks of birds to the area which has added to the birds' desperation and confusion:  "They aren’t the birds, maybe, from here around. They’ve been driven down from upcountry." Nat's belief in this explanation never waivers, even though other people disagree with him. According to Mr Trigg, for example, there are rumours in town that the Russians are somehow responsible for the birds' attacks. Similarly, Mrs Trigg also suggests that the birds might be "foreign" bird...

Many people credit the existence of Canada as an independent nation to the foresight of the British General Isaac Brock. Following the American Revolutionary War, Brock was stationed in Canada to protect it against a potential United States invasion. The 1783 Treaty of Paris had officially ended the American Revolution, but it did not settle the differences between the United States and Great Britain. Consequently, by 1800 the two nations were becoming increasingly hostile toward one another. Many British citizens, politicians, and military officers thought that war would be averted by diplomacy; General Isaac Brock was not so hopeful. Brock increased the size of the Canadian militia, submitted the militia to strict training regimens, and repaired and enhanced Canadian defenses. These actions were somewhat unpopular, but Brock believed war was coming. He was right. War broke out in 1812, and the United States immediately moved to invade and capture Canada. Brock led the Canadian militi...

In the novel, the author uses mostly indirect characterization to change our perception of Pony as the story progresses. Indirect characterization is a way for an author to reveal a particular character's personality through his thoughts, actions, speech, facial expressions, and influence on others. In fact, the novel begins with Ponyboy's thoughts about his looks. He wishes that he looks like Paul Newman, only because the actor "looks tough." Ponyboy believes that looking tough would add to his street credibility as a Greaser. Ponyboy's insecurity regarding his looks highlights his vulnerability. Through his thoughts, we also get to understand how Ponyboy really feels about his family. His favorite brother is Soda, whom he loves more than anyone else, even his deceased parents. Ponyboy doesn't seem to be as enthused about his oldest brother, Darry, whom he feels is too serious for his own good. Characterizing himself as a loner, Ponyboy reveals that he enjoys...

Recall the  Root test  determines the limit as: `lim_(n-gtoo) root(n)(|a_n|)= L` `lim_(n-gtoo) |a_n|^(1/n)= L` Then, we follow the conditions: a) `L lt1` then the series is absolutely convergent b)` Lgt1` then the series is divergent. c) `L=1` or does not exist  then the test is inconclusive. The series may be divergent, conditionally convergent, or absolutely convergent. We may apply the Root  Test to determine the convergence or divergence of the series `sum_(n=1)^oo n/3^n` . For the given series `sum_(n=1)^oo n/3^n` , we have `a_n =n/3^n` .  We set up the limit as: `lim_(n-gtoo) |n/3^n|^(1/n)`  Apply Law of Exponent: `(x/y)^n = x^n/y^m` and simplify. `|n/3^n|^(1/n)=(n/3^n)^(1/n)`         ` =n^(1/n)/(3^n)^(1/n)`         ` = n^(1/n)/3^(n/n)`          `= n^(1/n)/3^1`          ` = 1/3 n^(1/n)` Applying `|(n/3^n)|^(1/n)=1/3 n^(1/n)` , we get: `lim_(n-gtoo) |(n/3^n)|^(1/n)` `=lim_(n-gtoo)1/3 n^(1/n)` `= 1/3lim_(n-gtoo)n^(1/n)` `= 1/3[1]` `=1/3`  Note: lim_(n->oo) n^(1/n) = 1 The limit ...

No. Enkidu was not created to be Gilgamesh's friend. Gilgamesh was ruler of Uruk, but he was not ruling wisely. In fact, he was ruling quite badly. He was overworking the men, and he was ravishing the women. In fact, the epic specifically says no girl was left a virgin. The people of Uruk couldn't stop Gilgamesh on their own, so they prayed to their gods for help. The goddess Aruru made Enkidu as someone to challenge Gilgamesh. He was made to be powerful enough to challenge Gilgamesh. He was strong, but wild, until he was tamed. Then the two men met, and immediately fought. It was only after this powerful clash, in which they both earned the respect of the other man, that they became friends. So, their friendship is a byproduct of how Enkidu was made and how Gilgamesh already was.

Your question is asking about complete conservation of energy within a machine. Whenever there are moving parts in a machine, this is an impossibility. Although the First Law of Thermodynamics states that energy cannot be created or destroyed in an isolated system, a machine isn't capable of retaining this energy (at least not with today's technology).  The problem lies with non-conservative forces--those that are path-dependent.  A common example of this is friction.  The amount of work done by a non-conservative force depends on what pathway it takes.  Think of rubbing your hands together.  The more you rub them, the more work it takes, and the greater amount of energy lost you will experience as heat.   It is important to understand that work and energy can be looked at as very similar ideas.  Doing work to an object (applying a force resulting in movement in that direction) will result in a change in the energy that object has.   In a machine, work is achieved from somethin...

According to a poll conducted by the Roper Center for Public Opinion Research (see the link below), more and more Americans report that they suffer from mental illness than ever before(as many as one in six). In addition, more Americans believe that mental health is a serious issue (67% of the people in a 2013 Pew poll stated that mental health was a serious issue).  People also increasingly see depression as a situation that requires treatment rather than as a sign of weakness. For example, in the 1970s and even into the 1990s, about 57% of Americans said they saw depression as a sign of weakness; however, in recent polls, less than 20% of Americans endorsed this idea. Recent polls have also found that while there is still a stigma surrounding mental illness as a whole, there is a perception that the stigma surrounding depression has lessened in recent years. Some of these changes might be traced to the development of anti-depressants, starting with Prozac in 1987, as Americans now in...

I believe that the question is asking about potential disadvantages to assigning students a worksheet for homework.   One possible disadvantage is that the worksheet is likely asking only questions that the worksheet creator considers important. A student might have a really creative idea or interpretation for a concept, but the worksheet might not ask about that part; therefore, the student never gets to voice his or her unique viewpoint.   Another disadvantage is that worksheets are often very objective in nature. That's great for the repetitive drilling of concepts, but it doesn't often (if ever) require higher levels of thinking on the part of the student.   One thing that I don't like about pre-made worksheets is that they don't always ask a question in a way that makes sense to students. Students will ask for clarification, and I will reword the question so it reflects the way I taught something. Generally, the student then asks, "Why didn't the question ...

Hooke's law  is written as `F = kx` where: `F`  = force `k ` = proportionality constant or spring constant `x` = length displacement from its natural length Apply Hooke's Law to the integral application for work: `W = int_a^b F dx` , we get: `W = int_a^b kx dx` `W = k * int_a^b x dx` Apply Power rule for integration: `int x^n(dx) = x^(n+1)/(n+1).` `W = k * x^(1+1)/(1+1)|_a^b` `W = k * x^2/2|_a^b` From the required work 18 ft-lbs, note that the units has "ft" instead of inches.   To be consistent, apply the conversion factor: 12 inches = 1 foot then:  `4` inches = `1/3` ft `7` inches = `7/12` ft To solve for k, we consider the initial condition: W =18 ft-lbs to stretch a spring `4` inches or `1/3` ft from its natural length. Stretching `1/3` ft of it natural length implies the boundary values: `a=0` to `b=1/3` ft. Applying  `W = k * x^2/2|_a^b` , we get: `18= k * x^2/2|_0^(1/3)` Apply definite integral formula: `F(x)|_a^b = F(b)-F(a)` . `18 =k [(1/3)^2/2-(0)^2/2]` `1...

The first twenty one lines of the poem help us to understand the duke's possessiveness of his former wife: her portrait is kept behind a curtain that none are allowed to draw aside except him.  We can also learn that his pride was, perhaps, wounded by the fact that it was not only "Her husband's presence" that prompted her to blush; she, apparently, was pleased by anything else as much as she was by his attention to her.   The duke also seems to place a lot of importance on appearances, as he name drops "Fra Pandolph," a famous painter who is renowned for producing excellent likenesses of individuals.  The duke seems to want his auditor to know that he paid dearly for this painting and demanded only the best.  In fact, he mentions the painter's name even before he begins to describe the woman who used to be his wife.  He prioritizes the value of the painting over the value of its subject.

The Syrian conflict traces its origin from the Arab Spring, which was the forceful change of governments in different Arab countries such as Tunisia, Egypt, and Libya. The masses were exercising their rights by protesting against what they termed as poor leadership. The street protests escalated to violence between pro-government and anti-government forces. In Syria, the government used force to fight the dissent expressed by the people. In turn, the people took up arms to defend themselves and fight the government forces. Rebel groups were formed, and the situation deteriorated into a full-blown civil war, claiming hundreds of thousands. Intervention by the international community has also contributed to fueling the civil war. The United States and its coalition partners have been accused of backing the rebels against the Syrian government under Assad. On the other hand, Russia and Iran have been accused of targeting western-backed rebels and supporting government troops.

At the end of Act II in The Crucible , John Proctor makes Mary Warren promise that she will go to the court and tell the truth- that Abigail has been lying this whole time about being bewitched. Mary is not a very strong person, and Abigail is quite manipulative. As the play goes on, Abigail’s power continues to grow, and anyone who gets in the way, including her friends, stands at risk of being accused and sentenced to death. When Mary finally gets the courage to tell the truth to the courts- at the prodding of John Proctor- Abigail quickly turns on her. This is the backlash that Mary faces for trying to reveal her “friend” for who she truly is: a liar. Abigail, true to her character, does not admit to anything when Mary tries to explain that they were only faking being bewitched. When it comes down to Mary’s word against Abigail’s, this is when Abigail takes the opportunity to turn on her friend to save her own image. She begins to fake an episode right there in front of the whole co...

While Nora and Mrs. Linde are generally seen as character foils, meaning exact opposites, in Henrik Ibsen's A Doll's House , when we look closer, we do see a few similarities . On the surface, Nora seems quite happy with her life. She married for love, has children she adores, and, though she says she and her husband have struggled financially, she is fairly well provided for by her husband. In contrast, Mrs. Linde married only out of financial necessity. Since Mrs. Linde needed to provide for her "bedridden and helpless" mother along with her two young brothers, she married a man who had a very lucrative business while alive. However, sadly, when her husband died, his business "went to pieces"; as a result, he left Mrs. Linde penniless, forcing her to work endlessly to continue to provide for her mother and brothers: The last three years have seemed like one long working-day, with no rest. (Act 1) However, we soon learn that Nora and her husband fell i...

It is true that Macbeth is manipulated, most notably by his own wife and the Weird Sisters, but if he did not already possess the flaws that compel him to make unscrupulous choices then his story would not have ended in his own destruction.  He, ultimately, is responsible for his own tragic ened. Macbeth admits that he suffers from a "Vaulting ambition" but believes that it is not enough to convince him to murder Duncan (1.7.27).  However, when his wife wounds his pride, insisting that "When [he] durst [commit the murder], then [he was] a man" (1.7.56).  In other words, unless he is willing to murder Duncan, then he is not really a man in her eyes.  She calls him a "coward" and "green and pale," painfully wounding his ego again and again (1.7.47, 41).  She knows just what buttons to push.  It is only after she insults his pride that Macbeth is willing to move forward with their plan.  If he were less prideful, she would not be able to manipulate ...

A chemical reaction is a process by which atoms of the reactants come together and combine or re-arrange to form products. An example of a chemical reaction is the reaction of nitrogen gas and hydrogen gas to produce ammonia: `N_2 + 3H_2 -> 2NH_3` . This is an example of the former where atoms combine. The oxidation of methane to form carbon dioxide and water is an example of the latter. For chemical reactions to occur, there are some factors that should be considered. For instance, the reactants must come together - must collide. The collision must also happen with the reactants assuming a specific orientation, and the collision must occur with the reactants having enough energy. All these factors contribute to the energy barrier, known as activation energy, of chemical reactions. Different chemical reactions have different activation energies, and higher activation energies mean the reaction will proceed slower, or not at all at certain conditions. In an industrial setting, a reac...

We do not actually know, with any certainty, what crimes Fortunato has committed against Montresor.  In the first line of the story, Montresor claims that Fortunato has injured him a "thousand" times, and when Fortunato, at last, "insult[ed]" him, Montresor had finally had enough.  Evidently, whatever injuries Montresor has sustained at the hands of Fortunato, they had more to do with wounding his pride than his person.  When Montresor speaks to Fortunato about confirming that a pipe of wine he recently, hastily, purchased is, indeed, Amontillado, Fortunato seems to enjoy the idea that Montresor has made a mistake.  He exclaims, "'Amontillado?  A pipe?  Impossible!'"  Despite his apparent illness, Fortunato insists that he accompany Montresor into his vaults to see this wine.  Even on the way to see this alleged wine, he insults Montresor by insisting that he could not possibly be a Freemason.  Therefore, it seems likely that Fortunato's only c...

To be precise, Macbeth does not appear in the first two scenes of the play. But by the time he does appear, alongside his friend, comrade, and fellow Scottish noble Banquo, we have learned much about him. From the first scene, for example, we learn that the witches, who are clearly up to no good, plan to meet with Macbeth. In the second scene, we hear an account of a battle involving Macbeth, where he is revealed to be a brave and apparently loyal thane to the king, who he defends against a rebellion led by the traitor Macdonwald. We also learn that Macbeth is held in high esteem by King Duncan, who values him as a "valiant cousin" and a "worthy gentleman." We also see that Macbeth is to receive the title of Thane of Cawdor. The former thane, having joined the rebellion, is to be executed at Duncan's order. So even though Macbeth has not appeared on stage by the end of the second scene, we know much about him and his circumstances. Perhaps by waiting until the t...

As the youngest member of the Younger family, Travis represents the future. Lena and Walter Sr. wanted a better life for Walter Jr. and Beneatha, but they are still crammed into a too-small apartment, trying to sustain themselves and putting their dreams on hold. Now the whole family wants the same for Travis. That's why Lena and Ruth freak out when Travis is playing with the rats outside in Act 1. Travis is also part of what drives Walter so aggressively to make his liquor store plan work. When he imagines a future for Travis in Act 2, Scene 2, the audience witnesses how Walter's unflattering traits come from a drive to make life as good as it possibly can be for Travis.  Travis as a symbol becomes particularly prominent again in the final scene. Walter is planning on accepting Mr. Linder's money by agreeing to not move into the white neighborhood. When Lena insists that Travis watch Walter do this, Walter cannot bring himself to stoop so low in front of his son. Though Tr...

`n! gt n^2 ` for all n > 3, so except for the first few terms, this series is strictly bounded above by the p-series 1/n^2: `sum_{4}^{infty} 1/{n!} lt sum_{4}^{infty} 1/n^2` Finitely many terms won't affect convergence, so since the p-series converges, the `1/n!` series must also converge by direct comparison.

Georg and Ulrich are sworn enemies. Their feud has been passed on to them by previous generations. Practically speaking, their feud continues to be a dispute over a piece of land. Ulrich's grandfather won a lawsuit and this narrow strip of land became his. However, Georg's family continued to poach on it and the feud continued. When they meet in the forest, each man considers murdering the other. But fate intervenes and a storm causes a tree to fall on both men, pinning them to the ground. Both men are now stuck together in a "life or death" situation. At first, they still continue to threaten each other. After accepting that they are trapped for the time being, Ulrich makes the first gesture and offers Georg a drink from his flask. At first, Georg refuses. Then Ulrich adds that even if his men arrive first, he will not have them harm Georg. Ulrich then extends his friendship. Georg replies that it would be quite a story if they ended their feud. He then accepts Ulric...

Essentially, New Orientalism is the prejudiced belief that Western culture and ideals are superior to those of the Islamic Middle East. Ideologies associated with New Orientalism include the beliefs that the Islamic Middle East is dangerous, undemocratic, politically underdeveloped, violent, and unjust. In his novel The Kite Runner , Khaled Hosseini favorably portrays America and Western civilization while he criticizes Middle Eastern culture and beliefs. One could argue that Hosseini supports and shares New Orientalist ideology in the way he associates America with freedom, opportunity, and safety while portraying Afghanistan as restrictive and dangerous. Hosseini even uses characters in his novel to advance the New Orientalist agenda. Assef loves Hitler, while Baba supports respected American presidents like Ronald Reagan. Throughout the novel, traumatic events only take place in the Middle East, such as child rape, brutal public executions, and social inequality. Amir and Baba'...

If Brian had found the survival pack earlier, he would not have been as dependent on the hatchet and he would have probably been less stressed in general.  Brian is very focused on the survival pack.  It motivates him throughout the time he is trapped alone in the wild. “Treasure. Unbelievable riches. He could not believe the contents of the survival pack.” (Ch. 19) Brian finds a sleeping bag, a gun, cookware, matches, soap, freeze-dried food, and even a hat in the survival pack.  It also has a first-aid kit and fishing gear.  Most important of all, he finds an emergency transmitter.  Between that and the matches he is sure he will be found. Brian learns to be self-sufficient and not to give up during his time in the woods.  He struggles with depression and frustration at times, but he continues to be innovative and determined.  He makes a spear and climbs into the plane to get the survival pack.  Brian learns that he can accomplish anything he sets out to do. Brian comes to understand...

An indirect democracy is otherwise known as a "republic" or a "representative democracy." Many countries that are well-known for their democracy, such as the United States, are actually republics and not true direct democracies. A direct democracy is exactly how it sounds: the people cast votes, and the person with the most votes at the end of the election wins. If my ballot is counted last, and my vote determines if person A or person B wins the election, you can say that my vote "directly matters." This might seem obvious, but when it comes to republics, not all votes directly "matter." In a republic, people vote for representatives. These are often governors, senators, representatives for the house, and other legislators. In these district elections, the votes of people "directly matter" because the candidate with the most votes wins. However, in political practices one tier above that, the common man does not get to directly vote. L...

Taylor series is an example of infinite series derived from the expansion of `f(x)` about a single point. It is represented by infinite sum of `f^n(x)` centered at `x=c` . The general formula for Taylor series is: `f(x) = sum_(n=0)^oo (f^n(c))/(n!) (x-c)^n` or `f(x) =f(c)+f'(c)(x-c) +(f^2(c))/(2!)(x-c)^2 +(f^3(c))/(3!)(x-c)^3 +(f^4(c))/(4!)(x-c)^4 +...` To apply the definition of Taylor series for the given function `f(x) = sin(x)` , we list `f^n(x)` using  the derivative formula for trigonometric functions: `d/(dx) sin(x) = cos(x)`  and ` d/(dx) cos(x)= -sin(x)` . `f(x) =sin(x)` `f'(x) = d/(dx) sin(x)`             `= cos(x)` `f^2(x) = d/(dx) cos(x)`              `= -sin(x)` `f^3(x) = d/(dx) -sin(x)`            `=-1*d/(dx) sin(x)`            `= -1 * cos(x)`            ` = -cos(x)` `f^4(x) = d/(dx) -cos(x)`             `=-1*d/(dx) cos(x)`             `= -1 * (-sin(x))`             `= sin(x)` Plug-in `x=pi/4`  on each `f^n(x)` , we get: `f(pi/4) =sin(pi/4) =sqrt(2)/2` `f'(p...

In order to draw a long run average cost curve (LRAC), you have to know what information is needed. As you can see in the link below, the vertical axis of an LRAC shows the cost of making a given product. The horizontal axis of the graph shows the amount of the product that is produced.  What this means is that an LRAC shows how much it will cost (in terms of average cost per unit) to produce various quantities of a product. If you look at the table in the image you have attached, you will see that you have the information you need.  The table gives you a lot of extraneous information that you do not need to draw your LRAC.  As mentioned above, all you need to know is the average costs per unit for each quantity produced. This information is in the bottom two rows of the table.  The table tells you, for example, that it costs .065 per kilowatt-hour to generate 5 million kilowatt-hours.  This gives you an ordered pair that you can graph because .065 is your cost (y value) and 5 million ...

How I Live Now deals with the themes of war, struggle, survival, and love. The protagonist, a fifteen-year-old girl who goes by the name of Daisy, is sent from New York to the countryside in England because of the developing war. The world is dealing with the outbreak of the new world war, but no one knows who the enemy really is. The theme of war is very important because we see how war changes the innocent lives of the children Daisy spends time with, such as Edmond and Piper. At first, when they hear about the war, Daisy and the rest are nonchalant; however, when the army arrives at their doorstep, they are separated, with Daisy and Piper taken in one direction, and Edmond taken in the other direction. The have to go through the agony of war, learning to deal with separation, loss and survival. When the war ends, we see that it leaves lasting effects on the characters, such as Edmond. The scars on his arm remind us that he has dealt with the harshness of the war. The theme of love i...

One point of symbolism in Roald Dahl's "The Landlady" is the name of the pub recommended to Billy for his first night in Bath, The Bell and Dragon . The name can be seen as a biblical allusion to two stories found in chapter 14 of the Book of Daniel. The two stories are together called Bel and the Dragon , and both stories concern the topic of idolatry. Idolatry is the worship of images of deities but is also loosely interpreted as the worship or adoration of anything that is not God, such as of material possessions or of people of importance. The allusion to the stories called Bel and the Dragon symbolizes the dangers of the landlady's idolatry in Dahl's short story. In the story of Bel , the prophet Daniel points out to Babylonian King Astyages the absurdity of worshiping the idol Bel , a title given to multiple gods. Daniel points out to the king that worshiping the idol is foolish because the idol is not the one who eats and drinks the offerings given ...

Recall that indefinite integral follows `int f(x) dx = F(x) +C` where: `f(x)` as the integrand function `F(x)` as the antiderivative of `f(x)` `C ` as the constant of integration The given integral problem: `int x/(x^4-6x^2+5) dx` resembles one of the formulas from the integration table. We follow the integral formula for rational function with roots as: `int (dx)/sqrt(ax^2+bx+c) = 1/sqrt(a)ln|2ax+b+2sqrt(a(ax^2+bx+c))| +C` . For easier comparison, we apply u-substitution by letting: `u=x^2` then `du= 2x dx` or `(du)/2 =xdx` . Plug-in the values, we get: `int x/(x^4-6x^2+5) dx =int 1/(x^4-6x^2+5)*x dx`                                 ` =int 1/(u^2-6u+5)*(du)/2` Apply the basic integration property: `int c*f(x) dx = c int f(x) dx` . `int 1/(u^2-6u+5)*(du)/2 = 1/2int 1/(u^2-6u+5) du` By comparing `ax^2+bx+c`  with `u^2-6u+5` , we determine the corresponding values as: `a=1` , `b=-6` ,and `c=5` . Applying the aforementioned formula for rational function with roots, we get: `1/2int 1/(u^2-...

Western theater and theater criticism began in Athens. It originated from choral performance. In the archaic period, choruses would sing and dance as part of religious festivals, often recounting stories of gods and heroes. Thespis is credited with creating Greek drama by adding a separate role for an actor who engaged in dialogue with the chorus. Aeschylus added a second actor, allowing for more realistic and flexible forms of dialogue. Of the many known dramatic works, those of three great tragic playwrights, Aeschylus, Sophocles, and Euripides, continue to be performed and greatly influenced the development of western tragedy. The Old Comedy of Aristophanes and satyr plays were equally innovative, serving not just as entertainment but as a form of social critique. They were bawdy and imaginative and also have had a significant influence. Finally, New Comedy, especially as preserved in the plays in Menander, was the origin of romantic comedy, featuring ordinary people with plots ofte...

Since you did not say what claims your essay needs to make and support, I will assume that is up to you. An interesting approach to "Mother Tongue" by Amy Tan would be to compare it to essays from previous centuries by authors who wrote about writing. You could claim that Tan is maintaining and updating a tradition of authors who analyze their craft and the way they use language. Two sources I recommend are "Silly Novels by Lady Novelists" by George Eliot (Marian Evans), written in 1856, and "Politics and the English Language," by George Orwell (Eric Blair), written in 1946.  While pointing out first that neither Eliot nor Orwell concerned themselves with writing for an audience whose first language was not English, you can nevertheless assert that both Eliot from the 19th century and Orwell from the mid-20th century—like Tan in the late 20th century—abhor snobbery in writing and embrace honesty. Eliot, for example, has this to say, speaking of the "w...

Tom Benecke makes an impulse decision to retrieve his yellow paper from the ledge in Jack Finney’s short story “The Contents of the Dead Man’s Pockets.” He takes a few minutes to examine the circumstances, noting the ledge is as wide as the length of his shoe, before his grabs his coat and climbs out the window. The ledge is perched eleven stories above busy Lexington Avenue in New York City, but Tom is undaunted as he leaves his apartment. Without analyzing the situation for too long, he begins to move along the ledge sliding one foot after the other with his face up against the building. Although he miscalculated the width of the ledge a bit, he moved along confidently, turning off his thoughts and acting on instinct. As he moved, he balanced on the balls of his feet in a similar fashion to a tightrope walker. It was not until he reached the paper and knew he had to bend over to retrieve it, that self-doubt arose. Without pause he continued--right foot, left foot, right foot, left--h...

Julia’s statement in 1984 is poignant foreshadowing of what happens to her and Winston in Room 101 near the novel’s end. Winston, after believing that O’Brien has placed a cage of rats onto his head, pleads that O’Brien torture Julia instead. This act of betrayal makes it impossible for Winston to love Julia once he is released from the Ministry of Truth. She, too, after undergoing extensive physical and psychological torture, can no longer love Winston. In this way, Julia’s words come true for her and Winston. Yet when the reader steps back, it seems highly unlikely that the experiences she and Winston went through would cause such permanent change in real life. For example, if a criminal suspect is under duress during an interrogation, he or she may falsely confess to a crime just to make the interrogation stop. Is it the truth? No. Will he or she still believe those words the next day? No. Momentary lapses, no matter the cause, rarely produce permanent change in an individual.   

With its emphasis on how to live life in the face of death, I would suggest  Tuesdays with Morrie challenges some tenets of the American Dream. Economic considerations are significant parts to the American Dream. This consideration infuses itself into the American Dream where people work hard and enjoy a certain level of financial stature as a result of their work. They have "things" such as homes, cars, and opulent displays that mirror accomplishment. Morrie's experience with physical debilitation and the grace with which he still faces life transcend material considerations. No amount of wealth or "things" can replace what he experiences. Morrie must find the courage to live life in the face of death, and that is not something normally associated with the American Dream. Another element of Tuesdays with Morrie that challenges the presuppositions behind the American Dream is its discussion of death. The traditional understanding of the American Dream is a cel...

In Walk Two Moons , by Sharon Creech, Sal and her grandparents are traveling across the country to Idaho in order to visit her mother. They make several sightseeing stops on the way, including one in the Wisconsin Dells. Sal and her grandparents, who she calls Gram and Gramps, decide to visit the Dells in order to watch the Native American dancers. At one point, after sightseeing with her Gram, Sal falls asleep while lying in the grass. When she wakes up, she realizes her grandparents left her, and she doesn't know where they went. She anxiously walks around the Dells trying to find them, and eventually finds her Gram in the middle of a Native American dance circle, dancing and shouting "Huzza, huzza!"

In Flannery O'Connor's "The Life You Save May Be Your Own," Mr. Shiftlet approaches the old woman and Lucynell. After a brief conversation, the following occurs. "I got," he said, tapping his knuckles on the floor to emphasize the immensity of what he was going to say, "a moral intelligence!"  The old woman is not impressed with his claim and allows him to sleep in a defunct car on her property while developing her own agenda.  Shiftlet's claim is ambiguous and laced with irony. The old woman is obviously trying to bribe him into taking on her handicapped daughter, and he recognizes her scheme. She is essentially selling Lucynell to him, and he sees the immorality of her offer—but it doesn't offend him because he is trying to work his own deal. His obvious lack of "moral intelligence" propels him to agree to marry Lucynell in exchange for the car and a small sum of money. Both Shiftlet and the old woman are sorely lacking in moral...

Photodegradable and biodegradable plastics are each better for the environment than non-degradable plastics.  However, only biodegradable plastic is able to be returned to the natural carbon cycle in a reasonable amount of time, thereby rendering it superior to photodegradable plastic. Photodegradable plastics are those which have chemicals added that make them brittle under certain conditions, usually exposure to sunlight.  Although the plastic appears to be breaking down into smaller more manageable pieces, they are still pieces of plastic and not usable by organic organisms.  Technically, the pieces may eventually be broken down into small enough particles for use, but the timeframe isn't established and cannot be considered reasonable yet, although science is still working on improving the products. Biodegradable plastics break down and can be ingested by organisms in the metabolic cycle.  This returns the carbon in the plastic to the carbon cycle in nature.  The ability to be ...

Erik and Vincent spray-painted Paul's eyes because they believed that Paul was the one who got Vincent into trouble. Essentially, both boys accused Paul of telling on Vincent for spray-painting the gray wall at the Silver Meadows development. Paul was only four or five-years-old at the time of the incident. Paul denied ever exposing Vincent for his part in spray-painting the wall. However, both boys had resolutely ignored Paul's pleas at the time. While Erik held Paul's eyelids open, Vincent sprayed white paint into them. This horrifying incident left Paul screaming in pain on the garage floor. Paul remembers his mother trying to clean his eyes out with the hose. He was then taken to the hospital, where the doctor warned that Paul might lose his peripheral vision. Despite the overwhelming odds against Paul, the doctor assured his parents that Paul would not be blinded by his ordeal. To prevent Paul from hating his brother, Erik, for his cruel actions, Paul's parents lat...

Alexander Pope's famous poem The Rape of the Lock is not only a wonderful satire, but also a valuable illustration of the upper class society of Pope's day (remember that Pope published the final form of the poem in 1717, making it an illustration of 18th century English society). By poking fun at the foibles of upper crust English social life, Pope also provides insight into and a reflection of this society. Take, for instance, Belinda's extensive preparation in Canto 1. In this section, Pope describes Belinda's process of putting on makeup and preparing for the day as if he were describing some elaborate ceremony of great importance. As an example, check out this brief excerpt: The inferior priestess, at her altar's side, Trembling begins the sacred rites of Pride. Unnumbered treasures ope at once, and here The various offerings of the world appear; From each she nicely culls with curious toil, And decks the goddess with the glittering spoil. (127-132)   In this ...

That's a good question.  There isn't any textual evidence that directly tells readers why Rainsford doesn't simply shoot Zaroff in the back from a concealed location.  I think one possible reason is pride.  Rainsford wants Zaroff to know that he has been beaten.  Rainsford also wants Zaroff to know that Rainsford  beat him.  If Rainsford took a sneaky shot at Zaroff, Zaroff wouldn't  know  that he had been beaten by Rainsford.  Zaroff would just be dead.  Rainsford is a popular hunter.  His skills have made him famous, and he still finds hunting normal animals thrilling. On the other hand, Zaroff pompously claims that he has grown bored with hunting the most dangerous animals in the world.  In a way, Zaroff seems to be claiming that he is a far better hunter than Rainsford because animals are not a challenge anymore.  By showing himself, Rainsford essentially says, "See, I knew you weren't better than me."   Perhaps another reason has nothing to do with pr...

Catherine the Great was the most successful female rulers of Russia. Her reign as emperor was between the years 1762 and 1796. This makes her the longest-ruling woman in Russian history. Her reign was not only long, but is considered by historians to be quite successful, as Russia continued along the path of modernization. Russia was propelled to a position of power in European political and cultural affairs during her reign. She is extolled for reforming education and culture in Russia, but criticized for not making social reforms for serfs. Her love affairs were of great interest to the aristocracy and continue to be discussed by historians.    Catherine the Great succumbed to the effects of a stroke that she suffered in November of 1796. She suffered the stroke while in the bathroom.  

Duncan decides to give Macbeth a promotion to the title thane of Cawdor.   Duncan gets a report that Macbeth was very brave and noble in the recent battle.    The thane of Cawdor they call a “ most disloyal traitor,” but Macbeth was described as brave.  The sergeant told Duncan that Macbeth “ carved out his passage” and cut down the “ merciless Macdonwald” in the battle.  Norway lost the battle, and Scottland won.  Duncan’s response was to promote Macbeth.   DUNCAN No more that thane of Cawdor shall deceive Our bosom interest: go pronounce his present death, And with his former title greet Macbeth. (Act 1, Scene 2)  Clearly, Duncan is impressed with Macbeth’s bravery and skill on the battlefield.  He knows nothing about the witches, of course.  He assumes that Macbeth will be thrilled to have been promoted to thane of Cawdor, and not be expect anything else.  Why would he? When Macbeth finds out about his promotion, he is surprised. MACBETH The thane of Cawdor lives: why do you dress m...

`int (e^(-3t))/(1+e^t)dt` Rewrite the integrand: `(e^(-3t))/(1+e^t)=(e^(-3t)+e^(-2t)-e^(-2t))/(1+e^t)=(e^(-3t)(e^t+1)-e^(-2t))/(e^t+1)` `=e^(-3t)-(e^(-2t))/(e^t+1)=e^(-3t)+(-e^(-2t)+e^(-t)-e^(-t))/(e^t+1)=e^(-3t)+(-e^(-2t)(e^t+1)+e^(-t))/(e^t+1)` `=e^(-3t)-e^(-2t)+(e^(-t))/(e^t+1)` Looking just at the last term: `(e^(-t))/(e^t+1)=(e^(-t)+1-1)/(e^t+1)=(e^(-t)(e^t+1)-1)/(e^t+1)=e^(-t)-1/(e^t+1)` So: `int (e^(-3t))/(1+e^t)dt=int (e^(-3t)-e^(-2t)+e^(-t)-1/(e^t+1))dt` The last term in this integral can be rewritten: `1/(e^t+1)*e^(-t)/e^(-t)=(e^(-t))/(1+e^(-t))` Integrating term by term we get: `int (e^(-3t))/(1+e^t)dt=-1/3e^(-3t)+1/2e^(-2t)-e^(-t)+ln(e^(-t)+1)+C`

Daisy did not wait for Gatsby to return from the war because she was not quite strong enough to remain loyal to him while he was so far away.  While he was overseas, fighting in World War I, "She was feeling the pressure of the world outside, and she wanted to see him and feel his presence beside her and be reassured that she was doing the right thing after all." She needed him to be near her in order to strengthen her loyalty and feeling that being with him was the right thing.  Daisy's parents had prevented her from traveling to New York City to say goodbye to him, and she began only to associate with men who couldn't possibly be sent away because the Army wouldn't take them.  She seems not to be very good at being alone, and with the pressure for her to marry, especially after her debut, she began to weaken in her resolve to be with Gatsby, a man who was not at all on the same socioeconomic level as she. She felt that she needed to make a decision, that she nee...

`log_4(128)` To evaluate, factor 128. `= log_4 (2^7)` Then, apply the formula of change base `log_b (a) = (log_c (a))/(log_c (b))` . `= (log_2 (2^7))/(log_2 (4))` `= (log_2 (2^7))/(log_2 (2^2))` To simplify it further, apply the rule `log_b (a^m) = m*log_b(a)` . `= (7*log_2 (2))/(2*log_2(2))` When the base and argument of logarithm are the same, it simplifies to 1, `log_b (b) = 1` . `= (7*1)/(2*1)` `=7/2` Therefore, `log_4 (128) = 7/2` .

Okonkwo's suicide is an act driven by despair. This despair seems to come directly from Okonkwo's sense that his village culture/identity has disappeared. In ways that are quite real and deeply disturbing for Okonkwo, Umuofia has become a place (and home to a people) that Okonkwo no longer recognizes. When his village loses coherence, Okonkwo inevitably loses his own sense of self as well. Thus his suicide is perhaps not a protest and not an act of strength, but is instead a graphic admission to the fact that the synergistic relationship between individual and society has been destroyed. One no longer supports the other.   At the end of Chapter 21, Okonkwo is shown mourning "for the warlike men of Umuofia, who had so unaccountably become soft like women." We should not take this as merely a comment on Okonkwo's macho attitude. In this moment we see that the things Okonkwo is most proud of about himself -- his manliness, his prowess in battle, etc. -- are no longer...

It's likely that you can cut back on your use of many resources. For instance, The Economist reports that the average American uses the paper equivalent of 5.57 forty-foot tall trees each year. By contrast, the average citizen of Ireland uses only 2.21. Different levels of resource use are driven by cultural practices that we can change. Here are some examples. Trees Use fewer trees by going "paperless" whenever possible. Recycle and reuse paper, cardboard, and furniture made of wood. Water Reduce consumption of water by eliminating wasteful practices (like letting the water run when you are washing dishes, or brushing your teeth). You can also reduce waste usage by taking shorter showers. If you have a yard or garden, and live in an area where dry conditions are common, you can reduce usage by cultivating only drought-resistant plants. Fossil fuel use in the home Central air conditioners and heat pumps typically burn more energy during use than any other home appliance....

To determine the convergence or divergence of the series `sum_(n=2)^oo (-1)^n/(nln(n))` , we may apply Alternating Series Test. In  Alternating Series Test , the series `sum (-1)^n a_n` is convergent if: 1) `a_n` is monotone and decreasing sequence. 2) `lim_(n-gtoo) a_n =0` 3) `a_ngt=0` For the series `sum_(n=2)^oo (-1)^n/(nln(n))` , we have: `a_n = 1/(nln(n))` which is a positive, continuous, and decreasing sequence from `N=2.` Note: As "`n` " increases, the `nln(n)` increases then `1/(nln(n))` decreases. Then, we set-up the limit as : `lim_(n-gtoo)1/(nln(n))= 1/oo =0` By alternating series test criteria, the series` sum_(n=2)^oo (-1)^n/(nln(n))`  converges. The series `sum_(n=2)^oo (-1)^n/(nln(n))`  has positive and negative elements. Thus, we must verify if the series converges absolutely or conditionally. Recall: a) Absolute Convergence :  `sum a_n`  is absolutely convergent if `sum|a_n|`   is convergent.   b) Conditional Convergence :  `sum a_n` is conditionally converge...

Hello! "Express" something in terms of `X` and `Y` means to find an expression (formula, rule) that gives this "something" as a result of operations on `X` and `Y.` The example of a formula is  `X+2Y.` Denote the number in question  `log_3(10)`  as `Z.` Then we need to "solve for Z", not "solve for X and Y". To do this, we need some properties of logarithms: `log_a(b*c) = log_a(b) + log_a(c),`  (logarithm of a product) `log_a(b/c) = log_a(b) - log_a(c),`  (logarithm of a quotient) `log_a(a) = 1,` `log_b(a) = (log_c(a))/(log_c(b))`  (change of a base), `log_a(b) = 1/(log_b(a))`   (a consequence of change of a base). Then we can state that: `log_3(10) = log_3(2*5) =`   (log of a product) `= log_3(2) + log_3(5) = log_3(6/3) + log_3(5)`   (log of a quotient). Also I am rewriting 2 as `6/3` since `2 = 6/3` `=log_3(6) - log_3(3) + log_3(5) =`   (change of a base) `= Y - 1 + (log_6(5))/(log_6(3)) = Y - 1 + X*log_3(6) =`    = Y - 1 + X*Y . This is the ex...

The probability that a particle with the wavefunction `Psi(x)` will be found in some region `R` is  `int_R |Psi(x)|^2 dx.` In our problem it is `int_(-oo)^0 |Psi(x)|^2 dx =int_(-1)^0 |Psi(x)|^2 dx =int_(-1)^0 (A(1-x^2))^2 dx.` We can compute this integral in terms of `A` and can even find `A` from the normalization condition  `int_(-oo)^oo |Psi(x)|^2 dx = 1,` but it is not necessary for this particular problem. Because this wavefunction is even, its square is also even and the integral over the left semiaxis is the same as over the right semiaxis. Together these equal integrals give `1,` thus each of them is equal to `1/2.` This is the answer: the probability the particle will be found in the region `xlt0`  is `1/2.`

When Romeo first approaches Friar Lawrence, asking him to consent to marrying him and Juliet, the friar is, at first, taken aback because Romeo had professed to love Rosaline just the day before.  He believes that Romeo's "love" must not really be love but lust or infatuation or something like it.  However, Romeo explains that Juliet actually loves him in return and that the reason he'd been so miserable before was that Rosaline did not return his feelings.  Though the Friar doesn't really believe that what Romeo feels is love, he says, "In one respect, I'll thy assistant be, / For this alliance may so happy prove / To turn your households rancor to pure love" (2.3.97-99).  In other words, he agrees to marry the young couple because he is hoping that their marriage will erase the bad blood between the Capulets and Montagues and end the violent feud between these two families.

This is essentially the problem of the simple pendulum applied to a current loop. The dipole moment p will want to align itself to an external magnetic field. The torque is: `tau=m xx B=-iaB sin(theta)=I alpha=I d^2/dt^2 theta` The small oscillations will be when `sin(theta)~~theta` . Then we have the differential equation: `-iaB theta=Id^2/dt^2 theta` `d^2/dt^2 theta+(iaB)/I theta=0` Let `omega^2=(iaB)/I` `d^2/dt^2 theta+omega^2 theta=0` This has a solution of the form: `theta(t)=theta_0 cos(omega*t+phi)` Therefore the period os small oscillations is: `T=1/(f) =1/(omega/(2pi))=(2pi)/omega=2pi sqrt(I/(iaB))`

When Hamlet asks this question, he's essentially asking if it is better to be alive or dead.  Is it easier to put up with everything life throws at us or resign oneself to death?  In Hamlet's mind, death does, theoretically, end the heartache that results from life's harsh treatment.  When other characters are forced to grapple with this question, most seem to choose "to be," or live instead of die.  However, Hamlet claims, "I do not set my life at a pin's fee," when he is about to meet his father's ghost (1.4.73).  He means that he hardly values his own life; in fact, he values it less than he values a pin.  Hamlet seems prepared to embrace the idea of death.  Further, Ophelia seems to eventually choose death over the pain of life.  She is driven mad by being forced to spurn Hamlet, the man she loves, then by his ensuing madness (which she believes to be sincere), and his murder of her father.  When she falls into the water, Gertrude describes h...

The answer is d : Granny hallucinates and thinks that Hapsy, who is dead, has come into the room, but it is actually Lydia, who enters. In the fifth paragraph from the last, beginning with "Light flashed on her closed eyelids...." a deep roaring sound seems to shake Granny. She asks Cornelia if there is a storm coming because she has heard thunder, and she tells her daughter to close the windows. Then, realizing that death approaches, she asks that the children be called to her bedside. As they enter, Granny asks,  "Is that you Hapsy?" "Oh no, I'm Lydia." Hapsy, who is already dead, has been Granny's dearest and favorite child all her life. She calls from her heart for this child, because Hapsy would be her greatest comfort. "What if I don't find her?" she worries. Granny prays that God will give her a sign, but nothing happens. For Granny, this is her second jilting: "I'll never forgive it" she utters with her last sorr...

In the opening paragraphs of "The Birds," Nat notices that the winter is so far quite different than that of previous years. The birds are more "restless," for example, and appear to be unsatisfied, even when they feed. In addition, there are more birds than usual, a fact which is supported by the observations of the farmer, Mr Trigg. After the attack on Nat's house, Du Maurier describes the cold ground and how it has the "hard, black look of frost." This, perhaps, foreshadows Nat's attempt to bury the dead birds which have attacked his family. The ground is too hard to dig, however, and Nat is forced to take the birds to the beach. While he is there, he sees the gulls riding the waves and realises that the birds will return to attack his home. He must now take action to safeguard his home so that his family is protected. 

This book is about the American experience during World War I, which, Zieger writes, "reflected the diverse strands of the progressivism that dominated public discourse during the first two decades of the century" (page 2). Progressives viewed the war as a way to promote what the author calls "social action" (page 2), including shoring up traditional social values, citizenship, and patriotism. However, the war's conclusion frustrated the desires of Progressives, as it was marked by the government's attempt to quell dissent and the restriction of immigration. In addition, the war's movement to promote innovative labor relations and social welfare programs also ended in 1918, and race relations worsened after the war. Women, who received the right to vote shortly after the war and who carried on war-time work, did not generally advance their war-time gains following the war. The book traces the development of American attitudes towards the war, from a stat...

It is Macduff who discovers King Duncan's bloody body and who sounds the alarm. Macbeth had planned to pretend to be sound asleep with his wife in their chambers when the body was discovered. But Shakespeare evidently wanted Macbeth to be present when Macduff discovered the body. This would explain the prolonged knocking which begins in Act II, Scene 2 and continues into Act II, Scene 3, when the drunken Porter finally opens the gate. By this time Macbeth feels compelled to put in an appearance to see what is going on. He arrives in time to see that it is Macduff, cold and wet, who has been making all that racket. Macbeth is still in a semi-trancelike state, brought on by his horror at having killed the King. But Macduff misinterprets Macbeth's behavior for anger at having been awakened by his knocking. Macduff offers a sort of apology when he says: He did command me to call timely on him; I have almost slipped the hour. But Macbeth seems to ignore his apology when he says ters...

In Bradbury's dystopian society the government has censored literature and made it illegal to own books. It has taken a tough stance against intellectuals and made it nearly impossible to criticize society or the government. Individuals cannot freely express their opinions or grievances without fear of being arrested or harmed by government agents. Intellectuals have been forced to go rogue and travel outside of the city as wandering hobos. Censorship acts as an agent for the government to control the populace through fear and propaganda. People are forced to ingest medication to ease their minds because they cannot express their unpleasant feelings about the material, superficial society they live in. Instead of choosing to rebel against the government, the majority of citizens peacefully accept the propaganda and live unexamined lives. Censorship has also altered accomplished works of art and impeded human creativity throughout society. Citizens have essentially been brainwa...

The two common types of electrical connections are the series connection and the parallel connection. At home, we prefer parallel connections. When devices are added in a parallel connection, each device can be individually controlled and has its own dedicated on and off switch. In other words, we can switch on the devices that we want to use while keeping others switched off. Another significant advantage of a parallel connection is that all the connected devices get the same voltage. This ensures that they provide the rated output.  In comparison, a series connection does not allow individual device control and all the devices are either switched on or switched off at any given time. It also experiences a voltage drop across each connected device and hence the devices do not get the rated voltage. Hope this helps.

The forces acting on a body can be classified as balanced forces or unbalanced forces. If the forces act in such a way that the net force is zero, we can term such forces as balanced forces. An example is the application of two forces, equal in magnitude and opposite in direction, on a body. A boat floating in water is an example of balanced forces. If the forces act in such a way that there is a net force acting on the body, we can classify such forces as unbalanced forces. An example of unbalanced forces is an automobile that is accelerating or decelerating.  When balanced forces are applied on a body, the net force is zero. If the net external force on a body is zero, it will stay in its state of motion, without any change. That is, an object at rest will stay at rest, while an object in motion will stay at the same speed without any change. Thus, there is no change in the speed of an object if balanced forces are applied to it.  In comparison, the object will accelerate or decelera...

The significant theme in the book Seven Myths of the Spanish Conquest by Restall is that the conquest is rooted in myth--not in the sense of the supernatural but in the sense that ideas and concepts related to the Spanish conquest were seeped in the culture and political agenda of the time. For example, in the first chapter, the author discusses the myth that the Spanish conquest was possible only through the actions of a few "great men." Instead, the author writes that the conquest was made possible through the actions of many Spaniards who were schooled in the ways of Spanish settlement and conquest. By contrasting myths of conquest with evidence from more modern sources, the author is not suggesting that history written a long time ago is myth while today's history is "true." Instead, the author writes that "a supposed reality built by researching archival sources can also generate its own myths" (page xvi). Therefore, even a modern search for sour...

When Lord Capulet arranges for Juliet to marry Paris (with Romeo banished to Mantua) the Friar devises a complicated and daring plan to reunite Romeo and Juliet. He gives her a poison that is intended to make her appear dead for forty-two hours, during which she will be buried in the Capulet family crypt. In the meantime, the Friar planned to alert Romeo to the plot by sending a letter through a messenger. The friar would sneak into the crypt as Juliet was scheduled to wake, and Romeo would carry her with him to Mantua. The plan, of course, fails because Friar John, Laurence's messenger, fails to get the letter to Romeo (because John's house is sealed off due to fears of plague.) Balthasar, Romeo's servant, thus reaches Romeo and, not being aware of the plot, tells Romeo that Juliet is dead. Romeo buys some poison and returns to Verona, where he kills himself (and young Paris) beside his young wife before the Friar can arrive to tell him of the plan. When Juliet awakens, sh...