Notes

Two separate tones are evident in Nadine Gordimer's short story: one for the frame story and one for the bedtime story. In the frame story, readers can discern a tone of nervous resignation that comes from assuming corporate guilt despite one's personal innocence. Presumably, the narrator does not subscribe to the racial prejudice and exploitation of people of color that characterizes her society. Although she is white and privileged, she doesn't relish her status, knowing it has been built on the foundation of apartheid, a system that is at that moment undermining the stability of her culture just as the goldmine is causing her home to shift and buckle. She fears civic unrest, but she hasn't barred her windows or purchased a handgun to protect herself. Some "voice in the echo-chamber of the subconscious" tells her that if she becomes a victim of the exploited classes, it will not be completely without cause.  The tone of the bedtime story, on the other hand, ...

Hello! Denote the angle as `alpha,` the initial speed as `V` and the given time as `T.` I suppose we ignore air resistance. Then the only force acting on the ball is the gravity force, it is directed downwards and gives the acceleration `g = 9.8 m/s^2` to the ball. The vertical component of the velocity uniformly decreases with time `t` from `V sin(alpha)` with the speed `g,` so it is equal to `V sin(alpha) - g t.` The height itself is equal to `H(t) = V sin(alpha) t - (g t^2)/2.` At the time `T` the velocity is zero, i.e. `V sin(alpha)T =(g T^2)/2,` or `V sin(alpha) = (g T)/2.` The maximum height is reached when the vertical speed becomes zero, i.e. when `V sin(alpha) = g t.` From the above we know that this time is `T/2.` Finally, the maximum height is `H(T/2) =Vsin(alpha) T/2 - (g T^2)/8 =(g T^2)/4 -(g T^2)/8 =(g T^2)/8.` Numerically it is `(9.8*9)/8 approx 11 (m).` This is the answer. Note that it doesn't depend on `alpha.`

Helen’s early childhood was unhappy because after she lost her sight and hearing she could not communicate effectively.   Helen had a hard time between the time she lost her sight and hearing as a toddler and the time she learned to communicate when Anne Sullivan taught her.  She knew that other people were able to communicate with words. Since she was a baby when she lost her hearing and knew few words, she could not.  This frustrated her.  I had noticed that my mother and my friends did not use signs as I did when they wanted anything done, but talked with their mouths…. I could not understand, and was vexed. I moved my lips and gesticulated frantically without result. This made me so angry at times that I kicked and screamed until I was exhausted. (Ch. 2)  Helen’s bad behavior as a child was a direct result of not understanding or being understood.  She was not a bad child.  She had an agile mind and enjoyed mischief.  She just could not express herself in ways that people understoo...

The French Revolution, more than the other two, was specifically aimed at improving the lot of all of humanity rather than simply changing the group of people that were in power. The fact that it broke up the feudal system and made the transfer of privileges via noble birth illegal has helped to lead to the robust civil institutions and laws that govern France now. The break up of the large farms owned by nobles or the church led to the establishment of individual farms that were profitable for their owners, where previously the profits were almost all taken by the noble lord or the church or others through various taxes, etc. The intense focus on equality immediately and significantly changed the political system in France. Though they did not immediately rule out the possibility of a monarch, a great deal of power was given to ordinary citizens and the effort to distribute power among the citizenry also led France to extend universal suffrage not long after. Currently, social mobilit...

Scout's first day of first grade is described in chapters two and three. Her teacher is Miss Caroline Fisher, who hails from North Alabama and doesn't know Maycomb or her students very well. Miss Caroline's ignorance is first noticed by Scout when the class hears a story about cats. Scout comments as follows: Miss Caroline seemed unaware that the ragged, denim-shirted, floursack-skirted first grade, most of whom had chopped cotton and fed hogs from the time they were able to walk, were immune to imaginative literature (16-17). Not only does Scout point out how unaware her teacher is, but she also describes her classmates in the above passage. These are kids who struggle under the Great Depression and the effects of an impoverished lifestyle. Specifically, the chapters chronicle the Cunninghams and the Ewells, as represented by Walter Cunningham Jr. and Burris Ewell. Walter doesn't have any money for lunch, causing Miss Caroline to cross a line unknowingly by offering hi...

In certain situations that equation could work, but not in general. As I understand, we are considering a situation when something has moved with a constant (or average) speed `V_1` for some time `t_1,` and then moved with a constant (or average) speed `V_2` for a time `t_2.` The average speed `V` has to be computed. By definition, the average speed is the total distance traveled divided by the total time taken. In this case the distance is the sum of two distances, `V_1 t_1+V_2 t_2,` and the time is the sum of two times, `t_1+t_2.` So the correct value for the total average speed is `V=(V_1 t_1+V_2 t_2)/(t_1+t_2) = V_1 (t_1/(t_1+t_2))+V_2 (t_2/(t_1+t_2)).` The simpler formula you suggest is `V= V_1 (1/2) + V_2 (1/2).` If `t_1=t_2,` then `t_1/(t_1+t_2)=t_2/(t_1+t_2)=1/2` and these formulas give the same result. If no, they are generally different. We can say that the speed with greater time taken makes greater contribution to the total average speed.

The roles played by Native Americans in European colonization were wide and varied, depending on local circumstances. In some cases, Native peoples facilitated colonization, usually because they saw some strategic benefit in doing so. In Jamestown, for example, Powhatan sought a diplomatic relationship with the English colonists because he had recently conquered the region, and saw them as valuable (though subservient) allies. Similarly, Massasoit, the Wampanoag sachem, reached out to the Pilgrim settlers at Plymouth because he thought they could be useful partners in his ongoing conflict against the powerful Narragansetts in the region. Throughout the colonies, Native peoples established complex trade relationships with Europeans, as in South Carolina, where they traded Indian slaves (and later deerskins) for guns, or in New France, where they gained power and prestige by trading beaver pelts for manufactured goods. Of course, these relationships usually soured over time, as European ...

This question is really tough.  Hollywood has young actors and actresses for sure, but it does not have a bunch of A-list actors that are as young as the required ages for  The Outsiders.   Hollywood often casts an actor to play a much younger character than the age of the real actor.  For example, Stockard Channing was 33 years old when she played Rizzo (a high school girl) in  Grease.   The question also asks to provide a reason why that actor will be good for the part.  Based on the rule of the actor needing to be the same age, my reason for why he/she is a good choice might simply be because the actor is the same age.  He or she might be a terrible actor, but the age matches; therefore, he or she is a good choice based on the other requirement. I'll do my best to pick higher quality and more famous actors and actresses.  Ponyboy Curtis - Age 14: More than likely, this actor would have been born in 2002.  I got lucky with this actor.  Levi Miller was born in 2002, which makes hi...

You could argue that the treatment Frankenstein's creature receives at the hands of society says more about human monstrosity than it does about his own nature.  Or, put a bit differently, that the treatment Frankenstein's creature receives from society proves that human beings are the real monsters in the story and not he.  You might consider calling Frankenstein's creation a creature instead of a monster if you are hoping to emphasize his humanity and criticize society's lack of it. If part of the purpose of your essay is to persuade the reader to feel some sympathy for the creature, the word 'creature' has a more positive connotation than the word monster does.  It is easier, in theory, to feel more sympathy for a creature than for a monster.  It's a small choice that has much larger emotional implications beyond its definition.

This story is built on the ridiculous humor of a farce . A farcical story is one in which the characters get involved in silly or unlikely situations. The hypochondriacal ramblings of the three friends are part of the farce. We will have to dig a little deeper to know whether George and William Samuel Harris are or are not truly hypochondriacs (I doubt it), but the exposition of the story gives us proof that J. is more the farcical social buffoon than the hypochondriac. I sat for awhile, frozen with horror;.... I came to typhoid fever—read the symptoms—discovered that I had typhoid fever, must have had it for months without knowing it—wondered what else I had got; ... [I] began to get interested in my case, and determined to sift it to the bottom, and so started alphabetically .... Cholera I had, with severe complications; and diphtheria I seemed to have been born with. I plodded conscientiously through the twenty-six letters, and the only malady I could conclude I had not got was h...

When, during Victor Frankenstein's very lengthy encounter with his creation, the "wretch," the monster proposes an arrangement whereby, if Victor will agree to create a female companion for him, he will disappear forever from Victor's life, the young scientist is forced to ponder the possible ramifications of this agreement. In Chapter 20 of Mary Shelley's Frankenstein , Victor does indeed proceed to consider the potential consequences of bringing into the world another creature the destructive nature of which could bring about more problems. Early in this chapter, Shelley depicts her protagonist as a tortured soul, struggling desperately for the right answer to the question of whether to abide the creature's proposition: "I was now about to form another being of whose dispositions I was alike ignorant; she might become ten thousand times more malignant than her mate and delight, for its own sake, in murder and wretchedness. He had sworn to quit the neigh...

The term “The War on Drugs” was popularized by the media when President Nixon gave a press conference in 1971 in which he declared drug abuse “public enemy number one.” In 2011, the Global Commission on Drug Policy reported that “the War on Drugs Has Failed.” In 2012, the U.S. Government released an updated drug policy, distinguishing it from previous “War on Drugs” policies. The new approach is based on a huge investment in research from the world’s leading scholars in substance abuse. The updated policy is not looking toward drug legalization as a simple fix to drug control. The new policy further differentiates itself from previous methods by refusing to measure success through incarceration numbers. Today, the Drug Policy Alliance advocates for an end to the War on Drugs, estimating that the U.S. spends $51 billion annually in these efforts. Current solutions are focused on a balanced approach that restricts drug trafficking and assists individuals struggling with substance abuse. ...

Interesting question! Definitely, the answer to your question will be based on your own analysis and judgement about the two characters. Nevertheless, I'd like to put forth the hypothesis that, of the two, Mary Carson is by far the worse villain. While both Mary Carson and Luke O'Neill are characters who lust for power and passion, it is Mary Carson who seeks to deny another the passion she most cherishes, but can never have. In the novel, Mary becomes infatuated with Father Ralph. The good priest, as we know, seems to be preoccupied with only one thing: his lust to ascend the hierarchy of the Catholic Church.  He thinks that Mary Carson is the answer to his ambitious prayers. However, Mary has plans of her own. She plies the priest with material privileges in order to seduce him. Father Ralph is free to move about Drogheda like a young prince; his horses and even his car are gifts from Mary, the matriarch who rules Drogheda with "imperial malevolence." This phrase fo...

1. Truth lies within real life experience, not within books of fantasy. “Stuff your eyes with wonder, he said, live as if you’d drop dead in ten seconds. See the world. It’s more fantastic than any dream made or paid for in factories.” 2. The burning of books can symbolize the destruction of a soul of an author. If a book is something that can hold a soul, then burning that book also burns that soul. “Everyone must leave something behind when he dies, my grandfather said. A child or a book or a painting or a house or a wall built or a pair of shoes made. Or a garden planted. Something your hand touched some way so your soul has somewhere to go when you die, and when people look at that tree or that flower you planted, you’re there.” 3. Burning books destroys our knowledge of the world. Without books, the average man will never know the world. “The books are to remind us what asses and fool we are. They’re Caeser’s praetorian guard, whispering as the parade roars down the avenue, “Remem...

Economy is a system of exchanging goods and services for an agreed upon value, often contributing to the growth of wealth in a society. When we talk about economy today, we often think of monetary values and their representation of wealth. It is easy to forget that an economy can exist without money, which serves as a third-party or placeholder for value, but this has been the case in early stages of economic development. Though it is possible for a young economy to involve money, historically complex economies have emerged from a more simplified system of trade and barter. Early on in the settled history of humans, people were more likely to engage in a system of direct trade for goods and services. For example, a person might help tend their neighbor's crops in exchange for hauling water. With goods, a person might exchange one of their chickens for a loaf of bread. What is important to mark about these kinds of exchanges is that the two parties involved agree upon the value of t...

The two poems “Death, Be Not Proud” and “Batter My Heart, three-person'd God” are part of a series of nineteen poems called the Holy Sonnets, published in 1663, two years after John Donne’s death. Donne is remembered among other Metaphysical poets of the time, such as George Herbert, who were often concerned with religious themes. Donne’s poetry was influenced by his own religious identity. In the period that he wrote these poems, he was in a state of religious transformation, converting from Catholicism to Anglicanism and considering joining the priesthood. In writing about Donne’s treatment of religious themes in these two poems, you may choose to compare the two sonnets. You may consider the specific topics each poem addresses—death and the individual’s relationship with God. Another option would be to explore the similarities in the structure of the sonnets and how the form influences meaning. In fact, the sonnet echoes the three-part structure of a form of meditation espoused ...

In Frank Stockton's short story "The Lady or the Tiger?" the third person narrator indicates the princess, the daughter of a semi-barbaric king, was very much in love with the young man: This royal maiden was well satisfied with her lover, for he was handsome and brave to a degree unsurpassed in all this kingdom, and she loved him with an ardor that had enough of barbarism in it to make it exceedingly warm and strong. The "love affair" between the princess and the young man proceeded for "many months" before it was eventually discovered by the King who immediately imprisoned the young man and sentenced him to be judged in the arena. Considered a vehicle of impartial justice, the arena was the king's way of judging the accused. A prisoner would enter the arena, where he would have the choice of two doors. Behind one door was a lady, to whom the prisoner was promptly married, and behind the other door was a tiger which killed the man. The prisoner di...

The Nuremberg Laws were established in Germany on September 15, 1935. They were a set of antisemitic laws which severely limited the rights and freedom of Jewish people living in Germany. The Nuremberg laws were broken up into two main sections. The first section was the Reich Citizenship Law. This established who was considered protected by the German government. The Reich Citizenship Law decreed citizens must be German or of German blood and that nationality was determined by the Reich itself. Only people who were considered to be fully German were granted full political rights and protection. In November of 1935, the Reich Citizenship Law went one step further and also determined who was considered to be Jewish. Even people who didn't practice Judaism but had a Jewish grandparent were still deemed partially Jewish under the new law and were subject to the punishments and cruelty that came along with it.   The second section of the Nuremberg Laws was the Law for the Protection of...

This is an interesting idea for an essay, and you've likely come up with some good examples, such as road rage, air rage, and online behavior that show that people tend to speak or act first and think afterward in today's world. Maybe an interesting title could play on the words "hot" and "cool." Some examples include "Keeping Your Cool," "Keeping a Cool Head," or "Staying Cool as a Cucumber." Some idioms, or common expressions, that you could use with the word "heat" or "hot" include "In the Heat of the Moment," "The Heat is On," or "Beat the Heat." The title "Beat the Heat" might work, as you are in part writing about how to stay cool in heated moments. If you are writing about situations such as road or air rage, you could use a title that involves an idiom with the word rage, such as "All the Rage" or "Fly into a Rage." A good way to think of tit...

Many people in Salem are inclined to avoid Sunday mornings at the meetinghouse because they dislike the minister, Mr. Parris.  John Proctor tells Mr. Hale that he doesn't see the "light of God" in Parris, and he has even avoided having his youngest son christened by Parris because he doesn't want the man to lay hands on his child.  In addition to these concerns, Proctor says that it "hurt[s] [his] prayer" that Parris insisted on -- and evidently got -- golden candlesticks for the altar when there were already perfectly good pewter candlesticks that were handmade by Francis Nurse, a well-respected member of the Salem community.  When Proctor sees those golden candlesticks gleaming at Parris's elbow when he preaches, it seems to make Proctor feel that Parris's priorities are out of line.

The original goal of the United Nations (UN) was to maintain global peace and security and to develop friendly nations. Developers of the UN expected all nations involved to work closely together towards humanitarian goals and preserving peace. However, the Cold War immediately created friction between the Soviet Union and the other nations that made it difficult for the UN to fulfill its original goals. Since then, the UN has fluctuated with respect to assertiveness in restoring peace . One of the original goals had been to establish a UN military , created by the Military Staff Committee and directed by the Security Council. Yet, the committee was unable agree about any plans for the military, mostly due to the Soviet Union's opposition. Similarly, no agreements were reached concerning disarmament, particularly nuclear disarmament. A UN military was not established until the Korean War, with the US providing most of the fighting power. Problems have arisen when members of the...

A fine question. I would say first that the changes in spelling, language, and vocabulary are not changes in themselves, but symptoms or markers of the larger changes in Charlie's intellectual capacity. That said, I'm going to be referring mainly to the original shorter version of the story as I address the other changes (rather than the later novel). On March 23, Charlie starts to speculate in a more nuanced fashion about the future, wondering if Algernon might be smart for good. On March 25, he shows a greater awareness of time (what takes time, and what saves time). On March 28, he shows greater autonomy and will, pushing back against the doctors' instructions. This is continued soon after, when he looks up words on his own. On April 6, Charlie beats Algernon for the first time. This indicates increased abilities in spatial reasoning and problem solving. On April 20, he shows himself more able to evaluate social relationships, and notices his coworkers' mockery. He f...

When Macbeth returns home shortly before Duncan arrives, Lady Macbeth is ready to kill Duncan so Macbeth can ascend to the throne. Macbeth is less certain. Duncan is a good king; Macbeth is his loyal subject. Cold-blooded murder could condemn him to hell for all eternity. Lady Macbeth knows her husband well, though. First she attacks his manhood. When he says, “We will proceed no more in this,” she accuses him of being afraid. “Art thou afeard To be the same in thine own act and valour As thou are in desire?...Wouldst thou…live a coward in thine own esteem, Letting ‘I dare not’ wait upon ‘I would…’” Macbeth argues that he is a courageous man even though he has changed his mind about killing Duncan. Lady Macbeth then personalizes her attack and accuses him of not loving her in addition to being a coward. “What beast was’t, then,/That made you break this enterprise to me?” She goes on to claim that she would have smashed her own child’s brains out before she would ever break a promise to...

Based on Economics (Tregarthen and Rittenberg), if we spend $1 more on capital, we must spend $1 less on labor. Since the marginal product of capital is 60, and the price of capital is $6, the marginal benefit of $1 spent on capital is Marginal Product of Capital/ Price of Capital= 60/6= 10. So, the firm will gain 10 units of output by spending an additional $1 on capital. Then, we are told that the marginal product of labor is 20 and the price of labor is $2.50. The marginal disadvantage of $1 less spent on labor would be Marginal Product of Labor/ Price of Labor= 20/2.50= 8. The firm would lose 8 units of output from spending $1 less on labor. To compare, MPC/P > MPL/P  60/6 > 20/2.50 So, the company achieves a net gain of 2 units of output if it transfers $1 from labor to capital. It will continue to transfer funds as long as it gains more output from the additional capital than it loses in output by reducing labor. Essentially, the company will increase in output and be capi...

The answer to this depends on which government you are discussing, what markets, and the precise forms of intervention.  For example, in the wake of the financial crisis of 2008, many governments in the developed world intervened by reducing interest rates and increasing monetary supply as a stimulus and to prevent recessions. Although this sort of intervention was successful, such tools are limited as of 2016 by interest rates being at a historically low level.  Another way governments can intervene in markets is by setting industrial policies that might include subsidies or tax breaks for favored industries. While some industries might benefit from such policies in the short term, over the long term they can lead to inefficient companies that rely on taxpayer subsidies for their survival. Such policies can also contravene various global and regional trade agreements and lead to trade wars.  Another type of intervention is direct government ownership of essential industries such as ut...

Although many elements of the Epic of Gilgamesh are mythical or fictional, the protagonist Gilgamesh was an historical king of Uruk whose rulership is attested by ancient king lists. Many aspects of the epic are consistent with information obtained from archaeological and other non-literary sources.  The epic represents the society of Uruk as one in which the monarch has absolute power. Even when subjects disapprove of his actions or he acts in a manner that violates social norms, there is no mechanism by which ordinary people can prevent him from doing as he pleases.  Religion is an important element in Gilgamesh's society, which is ordered as a theocracy, with there being no clear distinction between secular and religious authority. The portrait of the constant intervention of the gods in human affairs reflects the actual importance of temples in the administration of Uruk. The society is represented as having very distinct gender roles and strong social stratification. The soci...

Managers have as many roles as there are businesses.  The term manager is largely undefined as a finite position in an organization.  Managers fill many types of roles and have varying degrees of responsibility and power.  Their positions are usually outlined strictly within the organization they serve, even similarly titled positions will differ across the same industry. Managers have two broad categories of service to the organization.  They will handle administrative tasks.  This includes payroll and scheduling at the lower levels to organizing policy and procedure in upper echelon management.  Other administrative tasks include subordinate evaluations, task assignment, and coordination across departments.  The administrative tasks are easier to learn because there are usually guidelines for how to handle the jobs. Managers also must be leaders in most organizations.  Leadership is a more difficult concept to teach because there are multiple ways to lead subordinates.  Leadership de...

According to Newton's first law of motion, bodies that are at rest will continue to stay at rest and those that are in motion will continue in the same state of motion, unless and until an external force is applied on them.  In the current case, when we are sitting in a car at rest, our body is also at rest. When the car suddenly accelerates, our body will follow Newton's first law of motion and would like to stay in the original state of motion, which is at rest. Thus, when the car moves forward, we fall backward, because the body resists the change in state of motion.  The best term to describe this is  inertia, which is the ability of a body to resist a change in its state of motion. Hope this helps. 

Josephine "whispers" at the door of her sister, Mrs. Mallard, because of what she perceives as the delicate state that Louise Mallard must be in since she has just received news that her husband has been killed in a train crash. The irony, of course, is that Josephine does not realize that her sister has been whispering herself. Mrs Mallard pronounces not words of grief, but one idea repeatedly, "Free! Body and soul free!" This she says at first with disbelief, and then with growing comprehension, a comprehension that finally sweeps over her as she realizes that she will now be independent: There would be no one to live for her during those coming years; she would live for herself. There would be no powerful will bending hers in that blind persistence with which men and women believe they have a right to impose a private will upon a fellow creature. Because Mrs. Mallard has led a repressed life, it takes her some time to comprehend what her freedom means. Neverthele...

One of the most interesting things about The Legend of Sleepy Hollow is the way that the lines between the supernatural and the realistic are continually blurred; in fact, the ambiguity created by the story’s events is partially responsible for the popularity of the tale long after its original publication. If we examine the descriptions of the supernatural in relation to how they are juxtaposed against the realistic, then we can better understand how sometimes the supernatural and natural are conflated with each other so that it becomes impossible to tell what is real. In the story’s second paragraph we are led to believe that Sleepy Hollow has a supernatural history. It is described as having “a drowsy, dreamy influence [that] seems to hang over the land, and to pervade the very atmosphere.” By relating the place to a dream, Irving connects the landscape -- that which is palpable and can be perceived -- to that of dreams, which are abstract and surreal. He then says, “Some say that t...

In Chapter 9, the Finches spend their Christmas with their extended family at Finch's Landing. Scout is forced to spend time with her older cousin, Francis Hancock. She mentions that Francis enjoys everything that she hates, and Scout tries her best to avoid him. After the family is finished eating dinner, Scout walks to the back yard to sit on the steps and Francis follows her. The two begin to discuss the dinner and Scout mentions that she doesn't want Dill to cook for her when she gets older. Francis makes a rude comment about Dill by calling him a "little runt." Scout defends Dill and Francis goes on to say how his grandmother, Aunt Alexandra, says that Dill hasn't got a home. Scout gets upset, and Francis tells her that she doesn't know any better. When Scout asks what he means by that, Francis says, "I guess it ain't your fault if Uncle Atticus is a nigger-lover besides, but I'm here to tell you it certainly does mortify the rest of the fami...

While plenty of people have happy, healthy, long-distance relationships, this is not the case for everyone. Being far apart can create difficulties in scheduling times to talk on the phone or use video chat, and certainly puts stress on the intimacy that's been established in a relationship. That being said, some people maintain friendships and romantic relationships without ever meeting in person! Here are a few things you may want to consider: You mentioned that your boyfriend has moved  farther  away and that you did not already live in the same place. Has the distance between you been a source of stress or complications in the six months you've been in a relationship? If so, how do you think the increased distance might add to this stress? If not, why do you think distance will become a problem now if it has not been thus far? Were you able to visit and spend time with each other, but now cannot?  What means of communication do you use to "spend time" with each ot...

General Zaroff is the antagonist in this story, so most character traits that are associated with him are not positive. I'd like to go a different route with this question, though. I would like to focus on Zaroff's positive characteristics. It's how Zaroff twists those positives that make him such a great antagonist. First, General Zaroff is a calm and not easily flustered man. He puts his own life at risk when hunting animals, and his life is even more at risk when he hunts humans; however, he is completely calm when on the hunt. Even at the end of the story when Rainsford jumps off of the cliff, Zaroff essentially shrugs and moves on. When the general and his pack reached the place by the sea, the Cossack stopped. For some minutes he stood regarding the blue-green expanse of water. He shrugged his shoulders. Then be sat down, took a drink of brandy from a silver flask, lit a cigarette, and hummed a bit from Madame Butterfly. That calmness is also displayed in his conversa...

What are some of the basic principles of the Enlightenment and Scientific Revolution? Taking its cue from the blossoming Scientific Revolution's of the 16th and 17th centuries, the Age of Enlightenment set out to restructure philosophy, politics, and society on totally new foundations. The many successes of new scientific inquiries into avenues such as astronomy and cosmology; chemistry; physics; and mathematics by thinkers such as Copernicus, Kepler, Newton, Leibniz, and Descartes had laid the foundation for a radically new and different view of the world than the one passed down from the medieval era and the middle ages. Starting with Descartes publications of the Discourse on Method (1637) and Meditations on First Philosophy (1641) and continuing roughly through Immanuel Kant's publication of the Critique of Pure Reason (1781, 1787), Enlightenment thinkers set out to explicate these new first principles. These included the quest for scientific certainty and empirical verifia...

`inttan^5(2x)sec^4(2x)dx` Let's apply integral substitution:`u=2x` `(du)=2dx` `inttan^5(2x)sec^4(2x)dx=inttan^5(u)sec^4(u)(du)/2` Take the constant out and rewrite the integral as, `=1/2intsec^2(u)sec^2(u)tan^5(u)du` Now use the trigonometric identity :`sec^2(x)=1+tan^2(x)` `=1/2int(1+tan^2(u))sec^2(u)tan^5(u)du` Again apply the integral substitution:`v=tan(u)` `dv=sec^2(u)du` `=1/2int(1+v^2)v^5dv` `=1/2int(v^5+v^7)dv` apply the sum rule and power rule, `=1/2(intv^5dv+intv^7dv)` `=1/2{(v^(5+1)/(5+1))+(v^(7+1)/(7+1))}` `=1/2(v^6/6+v^8/8)` substitute back `v=tan(u)` and  `u=2x` `=1/2((tan^6(2x))/6+(tan^8(2x))/8)` Add a constant C to the solution, `=1/2(1/6tan^6(2x)+1/8tan^8(2x))+C`

President Herbert Hoover, who presided over the United States during the leanest years of the Great Depression, was kind of a scapegoat for the whole decade.  Tens of thousands of homeless Americans built makeshift shelters in shantytowns.  These desperate communities came to be called Hoovervilles in a jab at the sitting president.  The reason that people were so unhappy about Hoover as president is that they did not feel he was doing enough with the power of the federal government to relieve their suffering.  In defense of Hoover, the federal government had never taken the role of a provider of benefits for the population.  The government's position was that charities and other philanthropic organizations should handle the plight of the poor.  The problem was that the Great Depression was so sever that charities could do very little to help.  Hoover believed wholeheartedly that Americans should help one another out of these problems and should be accountable for themselves and th...

This quote appears in Chapter Two of "The Canterville Ghost," after the ghost has attempted to frighten the Otis family for the first time by rattling his chains along the corridor. The response to this act, however, is less than encouraging: instead of being scared, Mr Otis offers the ghost some Tammany Rising Sun Lubricator to oil his chains so that they make less noise. The ghost is dumbfounded by this response: Never, in a brilliant and uninterrupted career of three hundred years, had he been so grossly insulted. The ghost, therefore, is seeking a solution to overcome the scepticism of the Otis family. As he ponders this conundrum, he reflects on his past achievements. He is proud of his career thus far ("his most celebrated performances") and finds comfort in these memories. This is symbolic of the culture clash which exists between the two men: the ghost represents the traditional and sentimental British aristocracy while Mr Otis stands for the modern and rati...

Half-life is the time period in which a substance reduces to 50% of its original value. Thus, a substance reduces to 50% original value in 1 half-life, to 25% in 2 half-lives, 12.5% in 3 half-lives and so on. Here, nitrogen-13 has a half-life of 10 minutes. That means, 50% of nitrogen-13 decays in 10 minutes.  The number of half-lives can be calculated by using the following expression: 2^n = 100 / (% of original content left) where, n is the number of half-lives. Here, 17.8% of the original content is left.  Therefore, 2^n = 100/17.8  or n log 2 = log (100/17.8) solving this equation, we get, n = 2.49 That is, in 2.49 half-lives, a substance will decay to 17.8% of its original content.  Since the half-life of nitrogen-13 is 10 minutes, it will take 24.9 min (= 2 half lives x 10 min per half life) for it to decay to 17.8% of its original value. Hope this helps. 

To the casual observer, it might have appeared that France had the upper hand over England at the beginning of the Hundred Years' War—and for good reason. France held at its disposal the military might and the financial resources of what was at that time the largest and most populous country in all of Western Europe. Despite France's size and power, the English were tremendously successful at the start of the Hundred Years' War thanks to their discipline and as a result of their successful use of longbows to thwart charges by the French cavalry. The combination of the English discipline and skill with longbows rendered the attacks from the less-disciplined French unsuccessful. Because of England's success, it was able to gain victory during some significant battles during the Hundred Years' War, including the battle at Sluys in 1340, Crecy in 1346, and Poitiers in 1356.

First, let's take a look at Vandana Shiva herself. She is a philosopher and environmental activist from India with a particular interest in the effects of globalization on cultures and ecosystems. Why is this important to note? To take a critical view, one must always know that background and potential biases of the person making the assertion. This background does not make her argument correct or incorrect, but does give us an idea of her where she's coming from when examining her point of view. Her focus is not on the money-making aspect of global trade, but rather its human impact. Specifically, Shiva states, in the article "Ecological Balance in an Era of Globalization," that the process of globalization is redefining what we accept as "normal" in trade between countries and what the goal of that trade should be. While in the past, governments attempted to regulate trade for the benefit of their country's industry over those of other countries (with ...

For the given equation `10^(3x)+4 =9` , we may simplify by combining like terms. Subtract 4 from both sides of the equation. `10^(3x)+4-4 =9-4` `10^(3x)=5` Take the "ln" on both sides to be able to bring down the exponent value. Apply the natural logarithm property: `ln(x^n)= n*ln(x)` . `ln(10^(3x))=ln(5)` `3xln(10)=ln(5)` To isolate the `x` , divide both sides by `3ln(10).` `(3xln(10))/(3ln(10))=(ln(5))/(3ln(10))` `x=(ln(5))/(3ln(10))` `x= (ln(5))/(ln(1000)) or 0.233` (approximated value). Checking: Plug-in `x=0.233` on `10^(3x)+4 =9.` `10^(3*0.233)+4 =?9` `10^(0.699)+4 =?9` `5.00034535+4=?9` `9.00034565~~9`   TRUE . Therefore, there is no extraneous solution . The `x=(ln(5))/(3ln(10))` is the  real exact solution of the given equation `10^(3x)+4 =9` .

After Gatsby's death Nick decides to return to the Midwest; however, before he departs he goes to Jordan Baker's house in order to end their relationship.  After arriving at Jordan's house, Nick talks "over and around what has happened" to their relationship, but Jordan remains perfectly still in her chair as he talks. In her usual disconnected manner, Jordan, who is dressed to play golf, replies "without comment" on Nick's words, saying that she is engaged to another man. While there are several that Jordan could probably marry, Nick doubts the sincerity of her response: "Nevertheless you did throw me over on the telephone. I don't give a damn about you now but it was a new experience for me and I felt a little dizzy for a while."  Further, Jordan reminds Nick of a conversation that they once had about bad drivers, a metaphor she uses for those who deceive and are careless in actions. She has said that it is all right to be a "bad...

In Langston Hughes' short story "Thank You, Ma'am," there are several ways in which Mrs. Luella Bates Washington Jones shows empathy for Roger.  Empathy is defined by the Merriam-Webster dictionary as the ability to understand and share the feelings of another. Although Mrs. Jones shows Roger many acts of kindness along the way, the empathy she shows is directed toward his hunger, state of neglect, and his desire to have things he cannot obtain honestly.  In the following quote, Mrs. Jones shows empathy toward Roger by asking if he's hungry. When she finds out he is, she takes him home to get supper for him. Readers can make a reasonable inference that she empathizes with him at this point because she sees beyond his crime and into his need.  "'You gonna take me to jail?" asked the boy, bending over the sink. "Not with that face, I would not take you nowhere," said the woman. "Here I am trying to get home to cook me a bite to eat and y...

Sustainable food production and processing refers to a type of food system that can withstand changes in the environment and economy, and maintain or improve various aspects of food production. Sustainable food should ideally improve soil fertility, water quality, local biodiversity, living standards for farmers and other food producers, and affordability of food. Other objectives of sustainable food production and processing include increasing access to organic, local, and seasonal produce; minimizing the suffering of farm workers and animals; and improving the environment. Additionally, sustainable food systems support a variety of different forms of food production in both rural and urban contexts and provide safe and accessible food processing facilities for farmers. Sustainable food production and processing ultimately refers to a theoretical food system that would be beneficial for food producers and processors, the environment, and consumers.

The primary and most evident conflict for the narrator (or overall "man" as indicated in the question) is between his responsibilities and desires. That is, the narrator (and his horse) have "promises to keep" as well as "miles to go before I sleep." But suddenly there appears a dark wood expressed with such a dream-like beauty that readers might be excused for believing that the entire poem is actually a dream (and who wants to be woken from such an extraordinary dream?). The need to continue on toward home is expressed through the actions of the horse, who likely knows this path and has never stopped in this place before now, but this time: My little horse must think it queer    To stop without a farmhouse near And later: He gives his harness bells a shake    To ask if there is some mistake.   There is no mistake. The rider seems torn. He wishes to stay, to "watch his woods fill up with snow." There is no village nearby, there is very little so...

Covering everything that happened in the entire world over a decade, including politics, economics, science, literature, art, popular culture, medicine, and technology in the space of a few paragraphs is impossible. A few important events are listed below. In the United States, two of the most significant political events were the opening of diplomatic relations between the US and China and the Watergate scandal and subsequent impeachment of Richard Nixon.  The Yom Kippur or 1973 Arab–Israeli War led to an uncomfortable military stalemate, eventually leading to the 1978 Camp David peace treaty between Israel and Egypt.  A notable economic event was the oil crisis in which prices rose dramatically as supplies were curtailed by OAPEC in retaliation for the US and European support of Israel. In response, many countries became more focused on conservation and energy self-sufficiency. This also changed the automotive industry, with many people shifting to more efficient cars and, as a resul...

To verify if the given infinite series: `sum_(n=1)^oo 2(-1/2)^n` converges, recall that infinite series converge to a single finite value S  if the limit of the partial sum `S_n ` as n approaches ` oo` converges to `S` . We follow it in a formula: `lim_(n-gtoo) S_n=sum_(n=1)^oo a_n = S` . To evaluate the  `sum_(n=1)^oo 2(-1/2)^n` , we apply the Law of exponent : `x^(n+m) = x^n*x^m` . Then, `(-1/2)^n =(-1/2)^(n -1+1)`                         `=(-1/2)^(n -1)*(-1/2)^1 `                        ` = (-1/2)^(n -1)*(-1/2)` Plug-in `(-1/2)^n =(-1/2)^(n -1)*(-1/2)` , we get: `sum_(n=1)^oo 2(-1/2)^n =sum_(n=1)^oo 2*(-1/2)^(n -1)*(-1/2)`                          ` =sum_(n=1)^oo -1*(-1/2)^(n -1)` By comparing given infinite series  `sum_(n=1)^oo -1*(-1/2)^(n -1)` with the geometric series form `sum_(n=1)^oo a*r^(n-1)` , we determine the corresponding values as:  `a=-1 ` and `r= -1/2` . The convergence test for the geometric series follows the conditions: a) If `|r|lt1`  or `-1 ltrlt 1` then the geo...

I would agree that Fahrenheit 451 's cultural relevancy has increased since its publication in 1953. Aspects of Bradbury's dystopian society are eerily familiar in modern America. Mildred's addiction to sleeping pills is relevant to America's prescription drug abuse problem that affects millions of citizens on a daily basis. Also, the dystopian society's obsession with television and violent entertainment mirror our modern society's fascination with HD TVs and sports. In today's society, corporations use religious holidays to advertise to the ever-increasing consumer culture to the point that everything sacred about the holiday is forgotten. In a discussion with Montag, Faber comments that he wonders if God would recognize His own Son. Bradbury's portrayal of how the dystopian society is constantly at war also mimics modern America. With our ongoing War on Terror, it seems like our country will always be involved in some sort of conflict around the globe...

In writing a public speech, it's important to keep your audience in mind. Part of the preparation for speech writing is in the analysis of potential audience members. This is where the popular "know your audience" mantra comes in. After a thorough analysis, a speech writer would prepare statements, verbal and non-verbal cues, tone, message, and mannerisms based off that analysis. Even with adequate preparation, it's possible a speech will fail in that it won't evoke its intended response. So, why might that be the case? Let's explore an example to understand this phenomenon. Suppose a person, Dan, is tasked to give a speech to senior students at a high school in a suburban area (not local). His job is to talk about the importance of education and the value of a college degree in 2016. In his pre-speech analysis, he learns 80% of the students are from Spanish-speaking households, 65% of students would be first-generation college students, and the most unifying ...

Underlying decision making are three types of reasoning: deductive reasoning, inductive reasoning and abductive reasoning. These forms of reasoning can sometimes be affected by emotion and bias, as well.  Deductive Reasoning This type of reasoning involves working intellectually from a general rule or premise to a specific application of this rule, and from there to a logical conclusion about the specific application. Deductive reasoning is often arranged in a syllogism that moves from a general statement to a particular one that logically follows. A simple example of this can be made if someone were planning a trip: Temperatures in southern Italy are very warm in the summer. Marge is planning to travel there when she finishes college in the summer. Therefore, she is packing light clothing for her trip. Inductive Reasoning This type of reasoning moves a specific idea to a logical conclusion about its application. Such reasoning begins with an idea that is later generalized as it is app...

Alice Walker's short story "Everyday Use" examines a changing time in African-American history. Set in the 1960s, the story contrasts rural, tradition-based African-American heritage with the movement to reinvent African-American identity with a basis in African tribal culture. The main question in the story considers what should be done with the African-American heritage of slavery and oppression: Should it be distanced from us, or embraced and built upon?  The climax of "Everyday Use" revolves around the question of which daughter should receive the family's heirloom hand-sewn quilts. Maggie has been promised them as a wedding present, but Dee wants them to display. The two daughters represent two ways to proceed into the future as a black woman in the sixties. By contrasting the two daughters, Walker illustrates the choice black women faced: embrace the history of black oppression and keep it as part of one's everyday life, or move forward and distanc...

Romulus and Remus are two figures of Roman myth and the legendary founders of the city of Rome. As the legend has it, Romulus and Remus are the twin sons of Rhea Silvia and Mars, the god of war. When the twins were born, Rhea's uncle (who stole the throne from her father) stole the babies away and ordered them to be drowned in the Tiber River. Luckily, the infants floated to safety and were looked after by a wolf and woodpecker, then taken in by a shepherd. As young men, the twins get into a fight with some of the king's men, and Remus is captured. Romulus kills the king, who he does not know is his uncle, and rescues Remus, restoring their estranged grandfather to the throne.  The twins then decide they wish to found their own cities, though they disagree about the location. Romulus decides to build his city on Palatine Hill, and constructs a wall to secure the location. Remus thought building a wall was a silly idea and even tried to prove how ridiculous the wall was by jump...

The nasal cavity is a continuation of each nostril, and it is the space which lies behind and above the nose. The cavity is divided into two by a wall of cartilage called the nasal septum. The nasal septum continues towards the back in the form of a bony structure called the bony septum made up of four different bones. Large deviations of the nasal septum sometimes result in narrowing of the nasal cavity. The forward section of this cavity within and above each nostril is referred to as the vestibule and behind each vestibule, along the outer wall are three structures called the nasal conchae or turbinate which hang over an air passage. Functionally, the nasal cavity has two areas. The area above the uppermost concha is called the olfactory region and it is responsible for smell. A portion of the lining contains nerve cells with projections called dendrites which dissolve microscopic particles from odour-emitting substances that chemically stimulate the olfactory nerve cells. The rest ...

The big increase in industries as a part of the Industrial Revolution played a significant role in the increase of imperialism. As countries began to expand their industries, they needed raw materials. It was much cheaper to get raw materials from a colony than it was to buy them from other countries. As a result, industrialized countries were looking to expand their influence by controlling other nations in order to get resources. Once the products were made, the businesses needed to sell those products. By having colonies, these countries could virtually guarantee a market for the products that were made by the businesses. This would help the economy of the industrialized country grow. This was another reason why the industrialized countries wanted to obtain colonies. As industrialized countries began to expand their trade, they needed to protect that trade. By having colonies, these countries could establish ports where their ships could dock and resupply. These colonies could also ...