Notes

Early on in "The Cask of Amontillado," Montresor tells of his plans to get revenge against Fortunato for unspecified insults. Montresor knew Fortunato's biggest weaknesses, his love and knowledge of great wines and his tendency to drink too much and become intoxicated . Montresor used Fortunato's love for wines against him by convincing him that he had been given a rare cask of amontillado wine. Fortunato, being the proud man and wine connoisseur that he was, did not allow Montresor to ask Luchresi for help in determining wether the amontillado was authentic or not. Montresor, by being able to identify Fortunato's strengths and weaknesses, was easily able to trick Fortunato into following him into the vaults. Had Fortunato not been so quick to become intoxicated and so prideful in his knowledge of wines, he might have been able to save himself from Montresor's revenge. 

Obviously, John's discovery makes him revise his religious beliefs. The ancients were neither "gods nor demons" but men. Religious edicts can no longer be justified on the basis of their divinity, and John clearly intends to violate some of the old laws. In the last paragraph of the story, he notes the city's name, and indicates his intention to take others into the city. In the first paragraph of the story, we're told that such actions have been "most strictly forbidden." But John's realizations extend beyond the immediate theological implications. When he thought the ancients were gods, he regarded their achievements as beyond the reach of human beings. For instance, consider what he says about his dream—the dream where he witnesses a busy New York street at night: "As I looked upon them and their magic, I felt like a child—but little more, it seemed to me, and they would pull down the moon from the sky.  I saw them with wisdom beyond wisdom a...

The first issue for both cases is that laws and terminology vary from state to state. Thus the answer will vary depending on the state in which it occurred.  Case 1: The law distinguishes between trespass and burglary. To prosecute the man for home invasion or residential burglary, one would require evidence that the man had entered the home with the intent to commit burglary. Not only is there no evidence of intent of burglary but no burglary has occurred. Although there is evidence of trespassing, as no harm or intent to harm is evident, the man did not commit the crime of home invasion. Although there is an element of unlawful entry, there is not solid evidence for a charge of forced entry. Thus this seems a fairly straightforward case of trespass. Given the man's cooperation with the police the next morning, this might be a case where mediation or arbitration would be more appropriate than traditional litigation. Case 2: In the second case, if one can prove that the man entered...

The situation you are referring to is likely when Beulah tells Reverend Jameson to go home and Rooster asks Dirty Red if he should shoot Reverend Jameson. As the question points out, no one in the community respects the reverend, even though he is a clergyman. The reason that people don't respect him is that he doesn't want the African-American community to stand up for themselves against white plantation owners such as Fix Bouton. Instead, Jameson is afraid whites will burn his parish down if his community starts to protest. He would rather meekly accept the status quo, even if it means that African-Americans are constantly harassed and abused. Perhaps by making Jameson weak, Gaines is suggesting that religion as it is usually practiced has not helped African-Americans in their quest for justice and equality with whites. Instead, the African-Americans in the novel must turn to community solidarity to gain justice.

Though democracy and monarchy have more differences than similarities, there are some ways in which they overlap. Both democracies and monarchies govern through a consolidation of power. In a democracy, this power base is democratically elected by the masses; in a monarchy, the power base may be appointed through any number of means, but typically through primogeniture. In a democracy, the majority rules, while in a monarchy, only one person rules. However, even absolute monarchies throughout history often consulted a trusted group of advisors in order to gauge the popularity of proposed or enacted policies, help him or her understand the political ramifications of their actions, and let them speak for the common people. It's important to remember that, while monarchs can be tyrants, monarchies and dictatorships are not the same thing. The majority of present-day monarchs either have no state powers, or share power with democratically elected governments. Fewer than a dozen monarch...

Given pressure is inversely proportional the the volume of the gas, So, `p=k/V` where p is the pressure and V is the volume. Initial pressure= 1000 Initial volume `(V_0)` = 2 Final volume `(V_1)` = 3 Let's calculate k, `k=pV` `k=(1000)(2)` `k=2000`  Work done (W) =`int_(V_0)^(V_1)k/VdV` `=int_2^3(2000)/VdV` Take the constant out, `=2000int_2^3(dV)/V` Use the common integral :`intdx/x=ln|x|` `=2000[ln|x|]_2^3` `=2000[ln(3)-ln(2)]` `=2000(1.098612289-0.69314718)` `=2000(0.405465108)` `=810.9302162` Work done by the gas `~~810.93` foot-pounds.

The character of Mrs. Linde is that of a woman who, after living her life, is now alone in her middle adulthood. She has had a tough life from the start. She had to give up the man she loved, Krogstad, and ended up marrying a businessman to take care of her mother and brothers. In this case, she sacrificed herself and the love of her life to support her family. Years later, Mrs. Linde is completely alone. Even though she gave up everything, she did not gain anything from her sacrifice, much like the results of Nora's own sacrifice. Linde's mother and husband are dead, her brothers are all grown up, and she has lost whatever financial stability she once enjoyed. She is now at the mercy of whatever help she can get, and a huge part of this problem is not having the financial stability a man would provide in her society. Mrs. Linde foreshadows Nora's future because Nora will be what Linde is now: a lonely woman living in a male-dominated society. Both women tried their best to...

When "My Brother Sam is Dead" first opens, the audience sees Tim as a wide-eyed boy. He sees war and battles as this grand adventure and he is a little disappointed that Sam gets to enlist in the army without him. Throughout the story, Tim is constantly trying to prove himself and get a taste of what he thinks of as Sam's glorious life. Once the war begins, however, Tim's reality is shaken. He sees soldiers enter his home and prepares to fight them off. Later, he sees his father get kidnapped and barely escapes with his life. Through these events, Tim learns that war is not an adventure but rather a brutal reality which costs many innocent lives. Tim's vision of war changed so much from the start of the story that when Sam's time comes to re-enlist, Tim begs him not to. He knows it will make him seem weak or afraid, but he doesn't care. At that point, he just wants to keep his brother safe—ultimately to no avail.  At the very end of the story, in the epilo...

There are a number of sub-disciplines or divisions of science. At the high school level, these can be thought of as physics, chemistry and biology. At the college level, a number of other specializations are available. Talking about school level science, the sub-disciplines of physics and chemistry involve a number of numerical problems. Some examples are motion, thermodynamics, waves, and electricity in physics. Similarly, electrochemistry, atoms and molecules, stoichiometry, and gas laws in chemistry use mathematics.  Generally, algebra is necessary for these topics of chemistry. Physics requires applications of algebra, trigonometry, integration, and differentiation and is generally much more mathematics-intensive.   A student with more mathematics is therefore better suited for success in physics and chemistry, as compared to someone who does not have a mathematics background. Thus, students with a math background are preferred in the sciences. Hope this helps. 

You are talking about different elements of the food chain.  Producers (autotrophs) are plants that utilize the power of sunlight to produce their own food.  Decomposers are bacteria, molds, and fungi that feed on decaying matter and help break them back down into base nutrients.  You are talking about the part of the food chain occupied by animals.  Animals are consumers in that they cannot produce their own food and must eat other living things as a source of food.  They can be divided into three basic categories.  Animals that eat only plants (producers) are called herbivores .  Animals that eat other animals (meat) are called carnivores .  And animals that eat both herbivores and carnivores are called omnivores .  Humans are an example of an omnivore (although vegetarians would technically be herbivores).

This article argues that the Supreme Court case  Terry v. Ohio (1968) was not necessary (in New York state) in order to allow police officers to search or frisk someone abut whom they had a "reasonable suspicion." The law was unnecessary because these types of frisk procedures were already largely allowed in the state. Instead, the law allowed the police to submit what they had seized during stop and frisk activities in a court of law as admissible evidence. The author of this article, Raymond, argues against an article by Professor Fyfe, who states that the best way to stop the abuses inherent in stop and frisk activities by the police is supervision by the police department. Instead, Raymond believes that the best way to prevent abuses is to use the courts to "police the police," as she calls it. She believes that police officers often lie and that the police are not capable of developing a sound system of internal review. Instead, the court system, she believes,...

Tagore shows that friendship and heartbreak are closely related in "Kabuliwala." The association between Mini and her Kabuliwala represents the essence of friendship.  While Mini is at first scared of the Kabuliwala, they wind up the best of friends.  They share jokes and laughter.  He gives her dates and raisins, and she has found a companion that allows her to be her chatter-box self.  Neither one of them gets tired of the other, as Kabuliwala dutifully visits each day.  When he is arrested, he makes sure that she is one of the last people he speaks to before being taken away. Over his eight year sentence, Mini grows up.  His absence and her maturation combine to bury the friendship that was once there.  When Kabuliwala returns to see his friend, she is a soon-to-be bride who does not acknowledge the previous depth of their connection.  She has moved on to the pressing affairs of her own life.  The joke about her "father-in-law's house" has an entirely differe...

To solve the equation `log_3(18x+7)=log_3(3x+38)` , we apply logarithm property: `a^(log_a(x))=x` . Raised both sides by base of `3` . `3^(log_3(18x+7))=3^(log_3(3x+38))` `18x+7=3x+38` Subtract 7 from both sides. `18x+7-7=3x+38-7` `18x=3x+31` Subtract  3x from both sides. `18x-3x=3x+31-3x` `15x=31` Divide both sides by `15` . `(15x)/15=31/15` `x=31/15` Checking: Plug-in `x=31/15` on `log_3(18x+7)=log_3(3x+38).` `log_3(18*31/15+7)=?log_3(3*31/15+38)` `log_3(186/5+7)=?log_3(31/5+38)` `log_3(186/5+35/5)=?log_3(31/5+190/5)`  `log_3(221/5)~~log_3(221/5)` TRUE or `3.449 ~~3.449.`  TRUE Thus, there is no extraneous solution. The `x=31/15` is a real solution for the given equation `log_3(18x+7)=log_3(3x+38)` .

The dramatic conflict of Romeo and Juliet really has its roots before the play even starts, with the feud of the Montagues and Capulets.  We are told this in the prologue.  The two families are feuding because of some long-forgotten reason and now any time anyone associated with one gets in contact with someone from the other it causes bloodshed. Things come to a head, however, when Romeo Montague’s friends convince him to sneak into the Capulet’s party.  They should not really be there.  Once there, Romeo falls head-over-heels in love with Juliet Capulet.  That is the real cause of the conflict.  Romeo and Juliet cannot be together.  Their families won’t hear of it. JULIET My only love sprung from my only hate! Too early seen unknown, and known too late! Prodigious birth of love it is to me, That I must love a loathed enemy. (Act 1, Scene 5) Romeo and Juliet do get together, and they decide to try to make a go of it despite the odds.  This includes marriage in secret.  That turns out...

The first two paragraphs describe the island in a much more hostile and forbidding manner than in some of the descriptions of the island that come later in the book. Its strangeness is conveyed through the mention of the enigmatic "long scar" and through the "creepers and broken trunks" that the boy clambers over. Bright primary colors are often considered cheerful, but here the red and yellow feathers of the birds provide a stark contrast to the rest of the unusual scene and contradict their own eerie, witch-like cry that seems to say, "Hi! Wait a minute!" These elements work together to create a strange setting. Certainly a sense of terror arises from the description as well. The scar itself is reminiscent of Frankenstein's monster or many cinematic criminal villains. The "bath of heat" is oppressive and threatening, signifying an environment that may not be suitable for humans. Calling the vines "creepers" associates them with th...

A mole is defined as the number equal to the quantity of carbon atoms in exactly 12 grams of pure 12^C.  This number of carbon atoms has been empirically determined to be 6.022 x 10^23.  So a mole, or Avogadro's number, can be thought of as a quantity -- very much like 1 dozen eggs is 12 eggs, 1 mole of eggs is 6.022 x 10^23 eggs.  The mass in grams of one mole of any element (6 x 10^23 atoms) is defined as the molar mass (M) of that element.  An element's molar mass is expressed as the quantity in grams equal to its atomic weight.  So the molar mass (Mr) of sodium (Na) is equal to its atomic weight (amu) in grams which is 22.9 g; 1 mole of Na = 22.9 g = 6 x 10^23 atoms.  For compounds, the masses of the individual atoms are combined to yield the molar mass of the compound.  As an example: CH4 (methane) has 1 carbon atom (12.1 atomic weight), and 4 hydrogen atoms (1.01 atomic weight).  The molar mass of CH4 (the quantity of 1 mole of methane) is equal to 1 x 12.1 g (carbon comp...

Disaster management is the ability of organizations and larger communities to manage resources and responsibilities during times of uncertainty.  This includes preparing for, responding to and recovery from disasters which may be natural or caused by society.  Natural disasters are typically weather related events such as hurricane or tornadoes.  Examples of social disasters include stock market crashes or rioting.  There are numerous ways to educate the public and agencies on the importance of disaster management. The internet has provided an ample opportunity to educate on disaster management.  One of the trending ways to quickly capture attention and educate is through the use of memes , which are catchy pictures or videos widely shared through social networking.   Chuck Norris currently enjoys a meme whereby he faces impossible odds or ridiculous situations and comes out unscathed.  Using such a meme with Chuck Norris seemingly destroying a town and asking the audience whether they...

Friar Laurence shows his concern for the wellbeing of Romeo (and for the potential opportunity for peace between the Montagues and Capulets that his union with Juliet could bring) in Act Two, Scene Six. Friar Laurence expresses this hope by stating, "So smile the heavens upon this holy act, / That after hours with sorrow chide us not!" He wants this marriage to be a blessed one that will bring joy to replace the violence between these families. Still, he harbors concern that this love is moving too fast and cautions Romeo: These violent delights have violent ends And in their triumph die, like fire and powder, Which as they kiss consume: the sweetest honey Is loathsome in his own deliciousness And in the taste confounds the appetite: Therefore love moderately; long love doth so; Too swift arrives as tardy as too slow. Someone who had no personal investment in Romeo's happiness would not take the time to counsel him in this manner. Friar Laurence's advice is sound: Don...

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In Chapter Eleven, "Fury" is the mispronunciation by Bruno for the Führer, Adolf Hitler. This misnomer is effective because Hitler certainly put Germany into a fury, and he acted as a god of war and vengeance much like the Furies of Mythology. Hitler emerged out of the anger of the German people for the crushing punishment it received after World War I as Germany was held responsible for this war. After the stringent demands of the Treaty of Versailles, the German economy was in a shambles because of the reparations demanded of it. The only thing to do as the economic situation of the country worsened was to print money; so, printing presses ran around the clock. But, by 1923 the situation became absolutely desperate and there was run-away inflation. According to British historian Sir Arthur Bryant, who wrote in his Unfinished Victory: It was the Jews with their international affiliations and their flair for finance who were best able to seize...opportunities. They did so wit...

This is a very interesting question! The answer will depend upon whether you agree with Socrates' definition of justice in the first four books. Then, you will have to decide whether he adequately addresses the necessity for justice. First, let's explore his main points in all four books. In Book One, Socrates tries to define justice. In this book, three definitions of justice are discussed. The first one (voiced by Cephalus) is the traditional Greek concept of justice: honesty in all transactions and diligence in paying off one's debts. The second definition of justice (voiced by Cephalus' son, Polemarchus) involves giving to everyone his/her just due. Thus, the enemy is owed retribution, while the friend is owed loyalty and protection. Here, Thrasymachus chimes in and argues that these two definitions of justice are lacking. He proposes a third definition of justice that takes into account the advantage dominant individuals have over others. Thrasymachus sees the conv...

Macbeth is one of the most famous plays by one of the world’s most legendary authors, William Shakespeare.  William Shakespeare, who wrote in the late 16th century and early 17th century, revolutionized the theater by writing linguistically intricate plays that dealt seriously with human emotion across a wide range of characters. Macbeth is no exception!   Macbeth  is a Shakespearean tragedy. The strict definition of a tragedy is a serious literary work that portrays the downfall of a heroic, albeit flawed, individual. Tragedies often end in the death of their protagonists; in this case, Macbeth’s attempts are foiled by MacDuff. Though Shakespeare fans quibble about  his best works, Macbeth is widely seen as an exemplar of the tragic form, alongside Hamlet , Othello , and Romeo and Juliet. In a nutshell, Macbeth portrays a man whose desperate ambition leads him to his downfall. After three witches prophesy that Macbeth will rise in power until he becomes king, Macbeth, goaded by hi...

On one side of the question, freedom of expression and freedom of inquiry are the foundations of academic life. The only way to increase human knowledge is to push boundaries of things not investigated before. Part of making way for new ideas often involves challenging old ones. Thus tenure for university professors exists to protect academic freedom and to ensure that scholars are free to conduct their work without fear of reprisals. For example, the students and professors, especially Marc Edwards, who helped the people of Flint by bringing their expertise to bear on water safety needed to be protected from reprisals by government officials, and especially those appointed by Republican Gov. Rick Snyder who had a strong interest in covering up the dangerous levels of pollution in the Flint water. If government officials could simply fire professors who revealed uncomfortable truths, much important research would not be conducted. There are, however, certain cases in which academic fre...

In  Macbeth , sleep symbolizes clear conscience, peace, and innocence. Sleep is vital when it comes to good health and well-being of characters. Sleep is a significant symbol in the play because it tells us more about the inner state of characters. When Macbeth kills king Duncan, he is aware of the fact that he will never be able to enjoy the benefits of clear conscience and inner stability like he used to: Methought I heard a voice cry 'Sleep no more! Macbeth does murder sleep', the innocent sleep, Sleep that knits up the ravell'd sleeve of care, The death of each day's life, sore labour's bath, Balm of hurt minds, great nature's second course, Chief nourisher in life's feast... He voluntarily deprives himself of the opportunity to lead a healthy and normal life. Now that he "does murder sleep," he will have to deal with hallucinations and visions which are the results of his guilt-ridden conscience. Lady Macbeth's lack of good sleep and her e...

The only characters in this list who are related by family are Marshall and Melanie, who are brother and sister. Let's think of April as the main character and consider how the other characters relate to her. Melanie is April's best friend and neighbor. Both girls have active imaginations and enjoy pretending. They develop the Egypt game. In many ways they think alike; for instance, they both generally avoid hanging out with boys their age, but they think that Ken and Toby, of all the boys in their class, are the funniest and most interesting. Elizabeth is a neighbor and friend to April. Elizabeth is two years younger, and although she doesn't have as many imaginative ideas as Melanie and April do, she enjoys the pretend ceremonies and roles they perform in the Egypt game.  Marshall is a friend to April, even though he is only four years old, and he is her neighbor. Marshall enjoys the pretend world of the Egypt game. April babysits Marshall at one point in the story. M...

Jabez Wilson tells Sherlock Holmes and Dr. Watson that he came to work at the offices of the Red-Headed League that very morning, which was a Saturday. He found the door locked and a note on it reading: THE RED-HEADED LEAGUE        IS DISSOLVED      October 9, 1890. He tells Sherlock Holmes: “I was staggered, sir. I did not know what to do. Then I called at the offices round, but none of them seemed to know anything about it. Finally, I went to the landlord, who is an accountant living on the ground floor, and I asked him if he could tell me what had become of the Red-headed League." The landlord is able to give Wilson a forwarding address for the man known to him as William Morris. But when Wilson gets there he finds it has nothing to do with the Red-Headed League. Wilson is portrayed as a man of limited intelligence. He does not suspect that his own assistant could have been involved in the trick that had been played on him. He wants professional advice--but he is not willing to...

This is actually quite simple. Iron is ferromagnetic (the quintessential ferromagnet in fact); so we can turn the iron nail into a temporary magnet simply by rubbing it in one direction with the permanent magnets. This applied magnetic field will align the atoms in the iron and turn it into a magnet of its own, at least until random vibrations misalign the atoms again. Better yet, we can turn it into a controllable electromagnet by wrapping the wires around the nail many times, and then connecting the wires to the battery and the switch in a circuit. Now when we flip the switch on, the nail will be magnetic, but when we flip the switch off it will not be. So, how temporary would you like your magnet to be? Until it wears off by random vibration, or whenever you flip off the switch?

In William Butler Yeats’ poem “The Lake Isle of Innisfree” he speaks of the solitary contentment and “peace” he feels when he thinks of the small lake island. On the island, he is able to leave behind the sights and sounds of the city, and retreat to the small, sod cabin surrounded by a garden. The sounds of the city are exchanged for the hum of bees. His heartfelt emotions draw him to the Isle of Innisfree. In his mind he hears the water as it laps upon the shore and he is able to be with nature in his thoughts. He recalls how the days on the island pass with the sounds of the bees leading to those of the crickets and linnets at evening. The rising of the sun and its setting bring him a feeling of “peace.” And I shall have some peace there, for peace comes dropping slow, Dropping from the veils of the morning to where the cricket sings;

In this novel, acquiring money seems to be just about everyone's goal, but it ultimately fails to make even those who have it happy.  Gatsby desperately wants to amass a large fortune to win Daisy's heart back; however, when she learns how he has acquired this fortune, she quickly and selfishly abandons him and returns to her awful husband -- a man whose money is "old" and therefore more valuable, reliable, and indicative of status.  Gatsby's money doesn't make him happy.  Myrtle and George Wilson both try to acquire more wealth in different ways, but neither of them is made happy by their efforts.  Myrtle can never replace Daisy, and George can never seem to catch a break, no matter how hard he works.  It is not coincidence that all three of these characters, those who try to achieve the American Dream, end up dead.  Tom and Daisy Buchanan, on the other hand, are incredibly wealthy, but they aren't happy: Tom has been unfaithful to Daisy since before they...

There are a number of advantages of parallel circuits, as compared to series circuits, in a house.  A parallel connection ensures that all the connected components get the same voltage. All the electrical components have rated voltages and parallel connection ensures that all the equipment are protected, in comparison to a series connection where all the components get different voltage. It is possible to provide individual switches for each component in a parallel connection, thus ensuring that each electrical device is controlled separately. In comparison, a series connection is often termed "all or nothing." This means that all the devices will need to be switched on or off simultaneously and that failure of a component will mean non-functioning of all the devices downstream. Addition of more electrical devices is easier in a parallel connection. In comparison, addition of additional devices increases the resistance of the circuit. Thus, parallel connections are preferred ...

It is entirely appropriate that the Bill of Rights has a provision addressing the individual citizen's right to privacy from government authorities. The authors of the Constitution knew how vitally important it was to protect citizens from violations of their privacy, especially with respect to invasions of their homes by agents of the government. It was in this context that the Fourth Amendment to the Constitution was drafted, debated, and ratified. That amendment reads as follows: "The right of the people to be secure in their persons, houses, papers, and effects, against unreasonable searches and seizures, shall not be violated, and no warrants shall issue, but upon probable cause, supported by oath or affirmation, and particularly describing the place to be searched, and the persons or things to be seized." The difficulties of policing a modern society and prosecuting criminal cases through the judicial system might suggest that the most speedy means of assembling a s...

We are asked to graph the function `y=(6x-1)/(3x-1) ` : The graph has a vertical asymptote at x=1/3. The graph has a horizontal asymptote at y=2. Thus the domain is all reals except 1/3 and the range is all reals except 2. Using division we can rewrite the function as ` y=1/(3(x-1/3))+2` ; using y=1/x as the base graph the transformation has been shifted right 1/3 units and up 2 units with a vertical dilation of factor 3. The graph:

Ellison DuRant Smith was a senator from South Carolina in 1924 when he delivered his anti-immigration speech, often entitled, "Shut the Door." The speech was an argument in favor of the strict Immigration Act of 1924, also known as the Johnson-Reed Act, which sought to limit the number of immigrants from a particular country to two percent of the total number of people from that nationality in the United States at that time, basing numbers off of an 1890 census. The Johnson-Reed Act was preceded by The Quota Act of 1921, which limited immigrants to three percent of their respective U.S. populations. These quota laws were passed in response to a great wave of immigration from Southern and Eastern Europe in the late-nineteenth and early-twentieth centuries. These immigrants were seen as undesirables. Meanwhile, immigration from Northern and Western Europe had subsided. Whereas Swedes and Scots had been welcomed, Poles and Italians were eyed with suspicion. The main fear put for...

The fall of Rome and the collapse of the Han Dynasty in China had many similar causes. Both empires were vast, and the leaders of each empire had a hard time administering control over the entire territory. In addition, both Rome and the Han were subject to outside invasions. The Romans were attacked by the Goths, Vandals, and other Germanic tribes. Part of the reason the Germanic tribes were menacing Rome was that the fearful Huns had dislodged them from their traditional lands. The rise of powerful Byzantine Empire in the East (after Diocletian had divided the Roman Empire into eastern and western parts in the third century) also diverted the attacking barbarians to Rome. Like the Romans, the Han were invaded by invaders. These invaders were called the Xiongu, who later coalesced with other groups to become the Huns. Additional problems that plagued both Rome and the Han were high taxation rates that people tried to avoid. In Rome, the rich tried to hide from taxation, meaning the bu...

At the beginning of Act II, Elizabeth Proctor wants her husband, John, to go to Salem to tell the courts what Abigail Williams, his former lover and the chief accuser in these trials, told him.  When they were alone momentarily during Act I, in Reverend Parris's house, Abigail told John that Betty was not bewitched, that the girls were just dancing in the forest and Betty got scared when her father jumped out of the trees.  Now, in Act II, people are being legally charged with the crime of witchcraft, while the girls make more accusations, and some of the accused are actually confessing in order to keep their necks from the noose.  Elizabeth wants John to tell the court what Abigail told him because it might help to prove that Abigail and the other girls are lying now, and then the accusations and trials could stop.

The conflict in Lessing's "Through the Tunnel" is man vs. self and man vs. nature, and it is directly related to the conflict of the story. The boy is Jerry, who is eleven, and he is the only child of a single mother. While on vacation at a beach, Jerry notices there is a safe side and a "wild" side. He has been to this beach with his mother before. This year, he wants to explore the wild beach alone rather than stay next to his mom on the safe beach. His mother sees this is the case and asks if he wants to go to the other beach. The text reveals his inner conflict as follows: "Contrition sent him running after her. And yet, as he ran, he looked back over his shoulder at the wild bay; and all morning, as he played on the safe beach, he was thinking of it." Eventually, Jerry wins this internal conflict about whether to leave his mom for the wild bay or not. When he finally ventures alone to the wild bay, Jerry faces the next conflict, which is man vs. n...

Maureen's character evolved significantly while she was outside soaked in the rain, although this evolution was not entirely positive. Alone in the bush, Maureen comes to realize that her values and even her thoughts are relative to her surroundings. She has shed her traditional European clothing in favor of nudity, marking an evolution in her thoughts towards propriety and modesty. She once judged the village women for their nudity, yet she seems to view her time in the rain as a baptism. It is this experience that marks the turning point in Maureen's character and leads to her feeling of becoming one with the landscape. She notes on page 48 that her body temperature is the same as the rain's, further driving home the idea that she has become one with the forces of nature. The Evolution of Maureen's Character Maureen's transformation is a gradual one. She experiences a second baptism of sorts when she discovers that a helicopter is coming into the village. While sh...

The force on block 1 from the first spring is `F_1=-k_1x` Where `x` is the position to the right of the equilibrium position. Let y be the distance to the right of block 2's equilibrium position. Then the second spring exerts a force `F_2` on block 1 given by `F_2=k_2(y-x)` Think about it. If `x=y` there should be no force from spring 2. Also if `ygtx` then there should be a pull to the right (positive) on block 1. If `xlty` then the block should pull to the left (negative). Since block 2 is only attached to spring 2, from Newton's third law `F_3=-F2=-k_2(y-x)` Now apply Newton's second law to both the blocks. `m_1 (d^2x)/dt^2=F_1+F_2=-k_1x+k_2(y-x)` `m_2 (d^2y)/dt^2=F_3=-k_2(y-x)` Plug in the values for `k` and `m` , then move the terms to the left hand side. `2(d^2x)/dt^2+6x-2y=0` `(d^2y)/dt^2+2y-2x=0` I'm going to set let `D:=d/dt` and solve this system of equations by the elimination method. `(1):-gt (2D^2+6)x-2y=0` `(2):-gt (D^2+2)y-2x=0` Now multiply eq. `...

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.  For the given  integral problem: `int5 x/e^(2x) dx` , we may  apply Law of exponent: `1/x^n =x^(-n)` then `1/e^(2x) = e^(-2x)` .  `int5 x/e^(2x) dx =int5 x*e^(-2x) dx` Apply the basic integration property: `int c*f(x) dx = c int f(x) dx` . `int5 x*e^(-2x) dx= 5int x*e^(-2x) dx` Apply integration by parts: `int f *g' = f*g - int g *f'du` . Let :   `f =x` then `f' = dx`           `g'=e^(-2x) dx` then` g = -1/2e^(-2x)` Note:  `g = int g'= int e^(-2x) dx` . Apply u-substitution using `u =-2x` then `du = -2dx` or `(du)/(-2) =dx` . `int e^(-2x) dx =int e^(u) * (du)/(-2)`                       `= -1/2 int e^u du`                       `= -1/2 e^u` Plug-in `u =-2x` on `-1/2 e^u` , we get:   `int e^(-2x) dx =-1/2 e^(-2x)` . Following the formula for integration by parts, we set it up as: `5int x*e^(-...

Sir Toby feels that Olivia should not be mourning for her brother still.   Lady Olivia has recently met with much tragedy.  Her father and brother both died.  As a result, Olivia is in deep mourning.  She will not even think of looking at a man for seven years.  Sir Toby, her uncle, does not feel that this is healthy.   SIR TOBY BELCH What a plague means my niece, to take the death of her brother thus? I am sure care's an enemy to life. (Act 1, Scene 3)  Sir Toby certainly knows how to enjoy life.  He spends his time carousing, drinking and singing at all hours.  He hangs out with his friend Sir Andrew, who is sweet on Olivia, and Olivia’s servant Maria, whom he is sweet on, and the fool. When Maria tells Toby that Olivia does not approve of his drinking and carrying on, he does not really care. MARIA By my troth, Sir Toby, you must come in earlier o' nights: your cousin, my lady, takes great exceptions to your ill hours. SIR TOBY BELCH Why, let her except, before excepted. (Ac...

In Shakespeare's  Macbeth,  Macbeth is a dynamic character who embodies elements of both good and evil.  For example, at the beginning of the play, the audience learns that Macbeth will be rewarded by Duncan for his valiant service on the battle field.  The former Thane of Cawdor has turned out to be a traitor, so Duncan plans to give the title to Macbeth.  Macbeth loves Duncan and Scotland, so he has pledged his service to the country, making him a good character.  However, Macbeth is later motivated by greed, and he is driven to murder by the realistic prospect of becoming king.  He betrays his friends and his country when he takes the life of not only Duncan, but others as well:  Banquo and Macduff's family.  In the end, Macbeth cannot even admit that he has done wrong and vows to "try the last" before being slain by Macduff.  These actions arguably show Macbeth's evil nature.

`int (x^2+6x+4)/(x^4+8x^2+16)dx` To solve using partial fraction method, the denominator of the integrand should be factored. `(x^2+6x+4)/(x^4+8x^2+16) = (x^2+6x+4) / (x^2+4)^2` If the factor in the denominator is quadratic and repeating, the partial fraction of this factor is ` (A_1x+B_1)/(ax^2+bx+c)+(A_2x+B_2)/(ax^2+bx+c)^2 + ... +(A_nx+B_n)/(ax^2+bx+C)^n` . So expressing the integrand as sum of fractions, it becomes: `(x^2+6x+4) / (x^2+4)^2=(Ax+B)/(x^2+4) + (Cx+D)/(x^2+4)^2` To solve for the values of A, B, C and D, multiply both sides by the LCD. `(x^2+4)^2 * (x^2+6x+4) / (x^2+4)^2=((Ax+B)/(x^2+4) + (Cx+D)/(x^2+4)^2) * (x^2+4)^2` `x^2+6x+4=(Ax + B)(x^2+4) + Cx + D` `x^2+6x + 4 = Ax^3 + 4Ax + Bx^2 + 4B + Cx + D` At the right side, group together the terms with same power of x. `x^2+6x+4 =Ax^3 + Bx^2 + (4Ax + Cx) + (4B + D)` `x^2+6x+4=Ax^3 + Bx^2 + (4A+C)x + (4B + D)` Notice that the right side has a degree of 3. So express the polynomial at the left side with a degree of 3. `0x^3+x^...

`x=5+3cos theta` `y= -2+sin theta` First, take the derivative of x and y with respect to theta. `dx/(d theta) = -3sin theta` `dy/(d theta) = cos theta` Take note that the slope of a tangent is equal to dy/dx. `m= dy/dx` To determine the dy/dx of a parametric equation, apply the formula: `dy/dx= (dy/(d theta))/(dx/(d theta))` When the tangent line is horizontal, the slope is zero. `0= (dy/(d theta))/(dx/(d theta))` This occurs when `dy/(d theta)=0` and `dx/(d theta) !=0` . So setting the derivative of y equal to zero yields: `dy/(d theta) = 0` `cos theta = 0` `theta_1= pi/2+2pin` `theta_2=(3pi)/2 + 2pin` (where n is any integer) So the graph of the parametric equation has horizontal tangent at these values of theta. To determine the points (x,y), plug-in the values of theta to the given parametric equation. `theta_1 =pi/2+2pin` `x=5+3cos(pi/2+2pin)=5+3cos(pi/2)=5+3*0=5` `y=-2+sin(pi/2+2pin)=-2+sin(pi/2)=-2+1=-1` `theta_2 = (3pi)/2+2pin` `x=5+3cos((3pi)/2+2pin)=5+3cos((3pi)/2)=5+3*0=5` `...

Evidence of sacrifice can be seen in the suffering of specific characters in The Crucible. The suffering that characters endure reflects the sacrifices they make for their beliefs. Giles Corey sacrifices greatly for his beliefs. He is convinced that people like Putnam use the witch trials as a way to advance their own agenda. He sacrifices for his outspoken nature, evident in how he calls out for "more weight" while being pressed to death.  In a similar manner, Elizabeth Proctor sacrifices for her husband. To protect his reputation, she lies in court, sacrificing her name. She then refuses to beg him to reconsider his confession because of how it shows his "goodness," something she will not take away from him. Elizabeth sacrifices her happiness as a married wife because of the love she holds for her husband.  Proctor makes the ultimate sacrifice for his beliefs. In Act III, he knows Abigail and the girls are lying. His commitment to truth and stopping the suffering ...

Binomial series is an example of an infinite series. When it is convergent at `|x|lt1` , we may follow the sum of the binomial series as `(1+x)^k` where k is any number. The formula will be: `(1+x)^k = sum_(n=0)^oo (k(k-1)(k-2) ...(k-n+1))/(n!) x^n` or `(1+x)^k = 1 + kx + (k(k-1))/(2!) x^2 + (k(k-1)(k-2))/(3!)x^3 +(k(k-1)(k-2)(k-3))/(4!)x^4+...` To evaluate the given function `f(x) = root(4)(1+x)` , we may apply radical property: `root(n)(x) = x^(1/n)` . The function becomes: `f(x)= (1+x)^(1/4)` or   `f(x) =(1+x)^(0.25)` By comparing "`(1+x)^k` " with "`(1+x)^(0.25)` ”, we have the corresponding values: `x=x` and `k =0.25` Plug-in the values on the formula for binomial series, we get: `(1+x)^(0.25) =sum_(n=0)^oo (0.25(0.25-1)(0.25-2)...(0.25-n+1))/(n!)x^n` `=sum_(n=0)^oo (0.25(-0.75)(-1.75)...(0.25-n+1))/(n!)x^n` `=1 + 0.25x + (0.25(-0.75))/(2!) x^2 + (0.25(-0.75)(-1.75))/(3!)x^3 +(0.25(-0.75)(-1.75)(-2.75))/(4!)x^4+...` `=1 + 0.25x + (-0.1875)/(1*2) x^2 + (0.328125)/(1*...

The  bedtime story, contained in Once Upon a Time by Nadine Gordimer reveals the inner conflict of a misguided family which believes it is doing the best it can to protect itself. The reader feels uneasy almost from the beginning as this seemingly perfect family as a sign which reads , you have been warned , and it is intended for any would be intruders foreshadowing what will follow. There is also talk of riots, and even though the husband reassures his wife that, there was nothing to fear, the reader is not convinced. The fact that they need , police and soldiers and tear-gas and guns., suggests that the riots are more than the husband reveals, leading the reader to conclude that this story will not end well. The chronological order is central to the story as it intensifies the increasing extent of this family's paranoia. The more precautions it takes, the more flaws it find in its security. The alarms systems seem to mock the efforts of all the residents of the suburb because in...

Lincoln would not agree to let the Confederate states leave the Union without a fight.  This is in contrast with his predecessor, James Buchanan, as secession actually started with South Carolina in December 1860, and Lincoln did not take office until March 1861. Lincoln also would not sign off on the Crittenden Compromise, which would have added amendments that would protect slavery in order to placate the South. Lincoln felt that this would further tear the country between abolitionist and slaveholder.  Lincoln would not fire the first shot in the Civil War; rather, he hoped that a calm response would let the secession crisis blow over as it had in the past--the South had threatened to secede a few times, most notably South Carolina under the Nullification Crisis.  The issue came to a head when South Carolina forces under P.G.T. Beauregard wanted to take Fort Sumter --Lincoln gave orders for the Fort Sumter defenders not to surrender, though he did not send any reinforcements or war ...

This is a difficult question, and one I think only Charlie could really answer. As readers, we can make judgments about the pros and cons of Charlie's surgery, but in the end we don't get to decide whether he was better off for having it. Let's consider some of the pros and cons of Charlie's surgery and discuss whether he was better off with it. Pros: Charlie's IQ improved and he was able to perform better in his skill tests Charlie helped the doctors to understand how this surgery affected human subjects Charlie developed new relationships Cons: The effects of Charlie's surgery eventually wore off, causing him lots of anxiety Charlie became aware of how people he thought were his friends were actually quite mean to him Charlie might eventually die from the surgery, like Algernon Because Charlie had low intellectual function to begin with, he may not have fully understood the implications of his surgery and have been coerced into deciding to have the operation I...

Many people know this poem as "Gather Ye Rosebuds," and the saying "gather ye rosebuds while ye may" has become commonplace in our society. This saying can be loosely translated as "take advantage of today's opportunities." This poem is about how virgins should not wait but should get married, as it's better for them to find spouses while they are still attractive (and perhaps when they can still have children). While this literal interpretation of Herrick's poem is a bit outdated according to cultural norms that put less pressure on women to marry and have children young, the poem can also be read as a reminder to take advantage of today. In other words, people should seize opportunities that are currently before them, and these opportunities are "rosebuds" that are fresh and available now but that might decay or not be around if people wait. Many of our opportunities are like freshly cut flowers, as they will not last forever. Peopl...

Dorine in “Tartuffe” is a very independent minded character.  As a servant, she should fade into the background and speak only when addressed.  However, Dorine is far different from the typical servant (or woman) of her day.  Mme. Pernell is the first one to point this out when she says, “Girl you talk too much and I’m afraid/You’re far too saucy for a lady’s maid” (1.1). Dorine is not afraid to express herself to any member of the family, and when she speaks, she sees through the heart of the matter to the truth.  For example, when Dorine hears Orgon telling Mariane she should marry Tartuffe, she is not afraid to step in and have her say: “There’s lately been a rumor going about--/Based on some hunch or chance remark, no doubt/That you mean Mariane to wed Tartuffe/I’ve laughed it off, of course, as just a spoof.” (2.2).  Unlike most of the women of her time, Dorine is not afraid to speak up against her employer.  Dorine is not afraid to speak out against the tradition of arranged marr...

In a given solution, the concentration of hydrogen ions and hydroxide ions are related to each other by the following expression: pH + pOH = 14 where, pH = - log[H+] and pOH = - log [OH-] In this case, the concentration of sulfuric acid is given as 2.1 x 10^-4 M. Since each molecule of sulfuric acid (H2SO4) contains 2 atoms of hydrogen, the concentration of hydrogen ions in this solution is twice that of sulfuric acid. That is, Concentration of H+ ions = 2 x 2.1 x 10^-4  = 4.2 x 10^-4 M This means, pH = -log (4.2 x 10^-4) = 3.38 Since pH + pOH = 14 pOH = 14 - 3.38 = 10.62 This means, 10.62 = -log [OH-] Solving the equation, we get [OH-] = 2.4 x 10^-11 M. Hope this helps.

`ln(4x-7)=ln(x+11)` Using one to one property of logarithms, `4x-7=x+11` `=>4x-x=11+7` `=>3x=18` `=>x=18/3` `=>x=6` Plug back the solution in the equation to check the solution, `ln(4*6-7)=ln(6+11)` `ln(24-7)=ln(17)` `ln(17)=ln(17)` So, its true. Solution of the equation is 6.

The Old Man and the Sea is set in Cuba in the mid-twentieth century. Santiago is a poor and elderly fisherman. He is independent, owning his own boat and selling his catch to earn money, rather than working for a big company. Although is is very skilled and careful, and has earned respect for that, he has gone for 84 days without a catch and is considered unlucky as a fisherman, although the villagers still care for and respect him to a degree. Manolin is a young boy who was once apprenticed to Santiago. Because Santiago has not caught fish for so long, his parents have apprenticed him to a luckier fisherman, but Manolin still respects and loves his mentor and brings him food. Santiago loves Manolin almost as he would a son and still mentors the boy even though the boy is no longer his apprentice. 

Morrie believes that money and power cannot buy true happiness. He tells Mitch that most people have been brainwashed into believing that they can obtain true satisfaction and contentment through material things. In reality, money and power are poor substitutes for love, gentleness, tenderness, or a sense of belonging. Morrie especially maintains that money and power are of little comfort when one is dying. He says that when he found out he was dying, his desire to acquire material things evaporated. He believes that the only way to obtain true happiness in life is to give of himself to others. As long as he devotes himself to loving others, to serving his community, and to participating in worthwhile projects, his life will always be meaningful. Morrie also advises Mitch to refrain from proving himself to anyone, whether rich or poor. Rather, he tells Mitch to be open to others and to give of himself from his heart. “Do the kinds of things that come from the heart. When you do, you wo...

In Andrew Clements' Frindle , as soon as Nick decides to take the meanings of words into his own hands by inventing his own word for the word pen , Nick knows his next step is to get other people to use it. Just as Mrs. Granger states, a word doesn't have a meaning unless society agrees about the word's meaning; therefore, Nick knows that he must get other people to agree that a pen is a frindle, not a pen. The first step to his plan is to go into the Penny Pantry store and ask to purchase a frindle . It takes the woman behind the counter a while to catch on to what he is asking for, but she soon does; he then walks off after having paid 49 cents for a frindle. Next, he recruits his friends to also ask to purchase frindles . On five consecutive days, five of Nick's friends walk into Penny Pantry and ask to purchase frindles: John, Pete, Chris, Dave, and Janet. By the time Janet asks to buy a frindle, the woman behind the counter had become so used to the question th...

`intsin(x)/(cos(x)+cos^2(x))dx` Apply integral substitution: `u=cos(x)` `=>du=-sin(x)dx` `=int1/(u+u^2)(-1)du` Take the constant out, `=-1int1/(u+u^2)du` Now to compute the partial fraction expansion of a proper rational function, we have to factor out the denominator, `=-1int1/(u(u+1))du` Now let's create the partial fraction expansion, `1/(u(u+1))=A/u+B/(u+1)` Multiply the above equation by the denominator, `=>1=A(u+1)+B(u)` `1=Au+A+Bu` `1=(A+B)u+A` Equating the coefficients of the like terms, `A+B=0`  ------------------(1) `A=1` Plug in the value of A in equation 1, `1+B=0` `=>B=-1` Plug in the values of A and B in the partial fraction expansion, `1/(u(u+1))=1/u+(-1)/(u+1)` `=1/u-1/(u+1)` `int1/(u(u+1))du=int(1/u-1/(u+1))du` Apply the sum rule, `=int1/udu-int1/(u+1)du`  Now use the common integral:`int1/xdx=ln|x|` `=ln|u|-ln|u+1|` Substitute back `u=cos(x)` `=ln|cos(x)|-ln|cos(x)+1|` `intsin(x)/(cos(x)+cos^2(x))dx=-1{ln|cos|x|-ln|cos(x)+1|}` Simplify and add a constant ...

There are a few lines that are not regular, strictly speaking, but the soliloquy itself is, for the most part, comprised of speech in blank verse: unrhymed iambic pentameter.  This means that each line has five feet, each foot consisting of two syllables: one unstressed (or unaccented) syllable followed by one stressed (or accented) syllable.  I will try to show the stresses by capitalizing stressed syllables in the words of the quotation below.  The end of each foot is marked off by a slash. I HAVE / thee NOT / and YET / I SEE / thee STILL. / Art THOU / not, FAtal / VIsion / SENsi / ble (EM syllable) To FEE / ling AS / to SIGHT? / Or ART / thou BUT / A DAG / ger OF / the MIND, / a FALSE / CreA / tion (EM syllable) ProCEE / ding FROM / the HEAT / OpPRESS / ed BRAIN? / I've used the phrase "EM syllable" to indicate that two lines end with an extrametrical syllable: an additional unstressed (or unaccented) syllable at the very end of the line.  It does seem to make sense, h...

The rhyme scheme varies between the first two stanzas and the last two stanzas in the poem. The first two stanzas use a rhyme scheme of abcb , where the first and third lines do not rhyme. However, the last two stanzas use a rhyme scheme of abab , where the first and third lines rhyme as well as the second and fourth lines. Not only do the first and third lines rhyme in the last two stanzas, but they also employ identical rhyme in each stanza. Identical rhyme means that the same word is used to rhyme with itself. In the third stanza, "dear" ends both the first and third lines, and in the last stanza, "luve" ends the first and third lines. The effect of increasing the rhymes as the poem progresses is to poetically match the intensification of the emotion being expressed as the hyperboles keep stacking up. By repeating "dear" and "luve" in the end position of the lines, creating identical rhyme, the steadfastness of the speaker's commitment to ...

Without being able to directly ask Chris McCandless, the answer to this question will probably forever remain a mystery.  Krakauer does a nice job of trying to "get inside" McCandless and figure out what makes him tick, but it's still Krakauer's best guess.  Krakauer also does a nice job of illustrating how McCandless wasn't the only ascetic to be drawn to the road and Alaska.  Krakauer spends chapters eight and nine comparing McCandless to Gene Rosselini, John Waterman, Carl McCunn, and Everett Reuss.  All of those men felt the pull of a solitary life.  They all died in that life too.  That doesn't mean that they were unsuccessful though.  Similarly, I don't think that McCandless failed in his quest either.   But why exactly McCandless wanted to live the life that he chose to live might best be explained by using a Henry David Thoreau quote.   "I wanted to live deep and suck out all the marrow of life, to live so sturdily and Spartan-like as to put t...