... several independent variables. The statement "u is an infinitesimal" meaning "u is a variable approaching 0 as a limit," found in a few present-day and in many older texts on calculus, is confusing and should be avoided. Further, it is essential to distinguish between the limit of f (x) as x approach x0 and the value of f (x) when x is x0, that is, the correspondent of x0. For example, if f (x) = sin ... various functions directly by means of various known formulas: a) (f + g)'(x) = f' (x) + g' (x); b) (f - g)'(x) = f' (x) - g' (x); c) (fg)'(x) = f (x) g' (x) + g (x) f' (x); d) if p (x)...

• Word Count: 2379
• Approx Pages: 10
• Grade Level: High School

... with the great community" (pg 83). That chapter is titled " Patriotism in the Female Sex". The quote refers on how she's putting everything aside to support the war against Britain. What Abigail did in her lifetime is an equivalent of a first lady would do ( got idea from class). She met with other ... to say at the end of the chapter. Although this a biography, this whole book could have been shorter if he hadn't described every event that had happened in her life. Some events had nothing to do with the story/biography. Handlin describes that Abigail was a mother who took care of the c...

• Word Count: 1735
• Approx Pages: 7
• Grade Level: High School

... curious person from a harsh, single-minded person. This allows Miller to show how Abigail can not only use her friends but also how she can manipulate others, such as Danforth whom is a man of intelligence In order to show the brilliance of Abigail's manipulation and her tactics involved in manipulation, Miller uses intricate, clever ... makes me uncomfortable- would be used. Miller also adds colloquial phrasing to the play in the form of dropping the "g- off the end of the word to add the sense of an accent and the austere fact of the puritan life. The tone follows thought out the chara...

• Word Count: 1854
• Approx Pages: 7
• Grade Level: High School

... as the play progresses, Abigail's fear of the townsfolk grows. She believes that if the truth is revealed, she will be hanged. Consequently, her accusations become more ardent and condemning as she seeks is distract attention from herself. She accuses Tituba of sending "her spirit on me in church", forcing Tituba to agree with this claim to preserve her own life, despite the dearth ... of supporting evidence. She reports "I tell him I don't desire to work for him [the Devil}, sir." By the end of Act one, Abigail has progressed to accusations of prominent citizens, alleging association w...

• Word Count: 1380
• Approx Pages: 6

... flop, the turn, and the river card. After the river card, the final round of betting is played and a winner is determined. Determining a winner comes down to a couple of things. If everyone folds but one player, than that player wins. If not, then there is a showdown, where all the players still in the ... Next is three of a kind, which is three cards of the same number. After that comes the straight. A straight is five cards in order numerically, for example ace, two, three, four, five. Next highest is the flush, which is five cards of the same suit, such as spades. Higher than the flu...

• Word Count: 1304
• Approx Pages: 5
• Grade Level: High School

... earth, joining the thousands of others in an infinite state of rest. However, his facial expression seemed eerily serious and I sensed no intention of jest in his voice. But to raise the dead to life? Even Jesus could not resurrect someone who was miles away from Himself. I shook my head and chuckled. "Do what you can old man, but I don't see any ... must share a memory with one another – that way, I can place the setting in which you will be portrayed. Just like how you were reverted back to your adolescent years for your meeting with your friend Abigail, you will be manipulated to b...

• Word Count: 1480
• Approx Pages: 6
• Grade Level: High School

... I would stay in the same position just watching him eat with a longing look in my eyes, showing I wasn't really listening, but thinking about how much she loved him and wished to forgive him. I would stay like this, in a daydream until he asks her for cider when I would get up and shake my head, thinking ... of how silly it was of me to have forgotten. I think Elizabeth is always longing to forgive John and never really concentrates on what he is saying hence the short answers. When John says she should bring ... quietly, needing comforting and facing away from Proctor. When I would s...

• Word Count: 1348
• Approx Pages: 5
• Grade Level: High School

... form. By "mastering these passions, they would live righteously; if they were mastered by them, unrighteously.(39)" If one were to "live his appointed span well," Plato states that he would "travel back to the abode of his consort star and there spend a happy and congenial life.(39)" As discussed in the Timaeus, Plato declares the soul as "the best of things brought into being ... by the most excellent of entities intelligible and eternal. And the soul, being woven throughout from the centre to the farthest heaven and enveloping the latter on the outside, revolving within her own ... , ...

• Word Count: 1275
• Approx Pages: 5
• Grade Level: Undergraduate

... time spent laboring over more basic tasks causes "brain drain " and prevents them from moving on. "Knowing their facts prepares children for more difficult math classes, such as algebra and calculus, by allowing them to focus their memory power on learning the more complex skills, instead of struggling through the facts " (Stern, 2010). When students fail ... . Though useful, calculators cannot replace the best, most effective tool children have, their brains. Children do not always carry calculators with them, yet knowing how to calculate mentally allows them to answer questions no matt...

• Word Count: 1860
• Approx Pages: 7

... the cultural and religious disparities. The love and brotherhood of Indian people are expressed by their religions and their culture. India is known to be one of most traditional and religious country. There are thousands of Gods including some like Lakshmi, Rama, Ganesa, Sita, Kama, ... Vishnu, Buddha and the God Sid believed in was Krishma. Since there are many different backgrounds represented in India, it looked almost impossible to learn each culture. Religions such as Buddhism, Christian, Hinduism, Islam, Jainism, Sikhism are one of many thousands of religions that are followed .....

• Word Count: 1758
• Approx Pages: 7
• Grade Level: High School

... the first time, bear primary responsibility for their personal needs, such as housing, laundry and nourishment, in addition to their schoolwork. College offers students the freedom to interact with a variety of people and lifestyles. One "lifestyle" which is a commonly accepted part of college life is drinking, especially, binge drinking. Both college administrators and students cite alcohol as the most pervasively misused substance on ... binge drinking among college students as a major public health problem. In Healthy People 2010, the Federal government has singled out binge drinking...

• Word Count: 1311
• Approx Pages: 5
• Grade Level: Undergraduate

... ) At this point, the metaphor portrays his confusion about his identity-a moral person with immoral, powerful people trying to control him and his life-changing decision. Moreover, Elizabeth plants the seed of forgiveness into Proctor's mind by supporting him and respecting his decision ... . Almost at the brink of tears, she proclaims that "whatever you will do, it is a good man [that] does it" (137). Instead of blaming him for what he had done with Abigail, she trusts him wholeheartedly and wishes him to ... make a right decision. She also tells Proctor that he "takes [her] sins upon [...

• Word Count: 1588
• Approx Pages: 6

... her husband. "Come, you spirits that tend on mortal thoughts, unsex me here, and fill me from the 2 crown to the toe top full of direst cruelty." (Act 1 Scene 5 Line 39-41) Her speech to the demons is both powerful and sinful. "She isn't sure there's enough manhood to go around between herself and her husband, so she calls upon scheming spirits ... 48) As she plays Macbeth as her puppet he only believes that she is doing this for love and that she is trying to make a better life for the both of them. But, her words of discouragement, dejection and pessimism shows just how much she domin...

• Word Count: 2179
• Approx Pages: 9
• Grade Level: High School

... next few hours, he can survive anything. Bruce Thompson is a third generation lineman. His father currently works for Southern California Edison, and has for many years. His grandfather worked for Pacific Electric and helped design the wig wag system used at many railroad crossings across America. Bruce has been around electricity his whole life; his education started early, and his teacher was ... workers is "God created light, and then created linemen. " Bruce works in a small, confined tunnel every day. He earns a handsome salary each year. He and his loved ones live a comfortable li...

• Word Count: 1686
• Approx Pages: 7
• Grade Level: High School

... alone and of darkness which once again appeared in many of his movies. "...fear you see is an emotion that people like to feel when they know they are safe." (39). Hitchcock led a life of fantasy, and spent much of his time alone, entertaining himself because he did not have many friends growing up. He ... birds in the background. As William Blowitz said "The star of this picture is Alfred Hitchcock." (Kapasis 83). "A blot on an honorable career" is how New York Times (NYT) critic Bosley Crowther announced the release of Psycho in 1960, and by the end of the year he had it on his ... )....

• Word Count: 2467
• Approx Pages: 10
• Grade Level: High School

... " results. Participating JDAI sites have reduced their average daily population in detention by 44 percent (Juvenile Detention Initiative 2013). The program "expanded from five pilot sites to nearly 300 jurisdictions in 39 state HYPERLINK "http://www.aecf.org/resources/juvenile-detention-alternatives-initiative-2013-annual-results-report"s and the District of HYPERLINK "http://www.aecf.org/resources/juvenile-detention-alternatives ... they became involved in serious trouble. While Donnell was committing a felony, Jennifer was with her, and a murder ensued. Jennifer was tried as an adul...

• Word Count: 1459
• Approx Pages: 6
• Grade Level: High School

... live performances from jazz groups and big bands, and, "turned racial segregation into positive ethnic congregation in a celebration of life and culture" (123). The African Americans in Louisville of the time in 1961 were reported to have been admitted to 70 percent of state's drive-in movies, and 114 of 116 libraries in the state. Lodges were another way African ... (75). The most active lodge in Louisville was The Improved Benevolent and Proactive Order of Elks of The World or I.B.P.E.L.W. Another lodge included was the "Southern Cross Lodge No. 39" (84). The University of Louisville w...

• Word Count: 1444
• Approx Pages: 6

... the impact of another compelling character. Through their interaction, together the characters each form an understanding of what it means to be living, and what one's purpose in life is. Williams integrates strong imagery and symbols to convey perceptions of life and death and alludes to them frequently throughout the play. We first encounter the imagery of the breastbone of a bird brought into the dry ... of life after the passing from this earth. There is a certain obsession with corruption and she becomes paranoid that Beulah and Dolly are referring to her as corrupt. She then defen...

• Word Count: 1480
• Approx Pages: 6
• Grade Level: High School

... ." (I, ii, 63-66) King Duncan appreciates Macbeth's loyal character and replaces the previous thane with Macbeth. The King's trust in Macbeth demonstrates how valuable Macbeth is to the King. The respect that Macbeth earns from others is impossible to earn if one has an insane mentality. Macbeth's actions in the beginning of the play represent his moral character and humble personality; qualities ... ? ... A dagger of the mind, a false creation,/ Proceeding from the heat-oppressèd brain?" (II,i, 33-39) Although Macbeth acts horrified of the idea of killing Duncan and seeing the fake dagg...

• Word Count: 1455
• Approx Pages: 6
• Grade Level: High School

... . She would make them food and bring them presents to "cheer them up." (Graves 37) When asked how she found time to handle her five children family, a husband and all the extra work she had been putting in, she replied: "I learned that what one has to do can be done." In 1920, FDR was nominated to run for Vice-President of the United States. FDR ... gathered with "famous people who came to see him at all hours of the day and night." (Graves 39) One of these persons was Louis Howe, who later became a close friend ... the solutions and the plans they had longed for. In 1933 he was elected...

• Word Count: 1726
• Approx Pages: 7
• Grade Level: High School

... on the right cheek, turn him the other also." Matthew 5:38-39 What Jesus is trying to tell us is that if forgiveness is essential when dealing with criminals. We need to understand that they may have gone through a great deal in life and this is what occurred in the end. The concept of forgiveness is ... Ten Commandments : "You shall not murder. You shall not commit adultery" Exodus 20:13-14 God told us that murder is wrong. Then why take another life for a life that a person took. It is a start of a chain reaction. If public opinion favoured prostitution or slavery, it would still not ...

• Word Count: 1884
• Approx Pages: 8
• Grade Level: High School

... in the form of the natural world. In Al –Baqarah, these "Noble things" are described as "Fruits for your sustenance," illustrating how Allah has blessed mankind with the means necessary for prosperity. (The Holy Qur'an, Al –Baqarah, 2:22). This is a clear indication of Allah's ... the Holy Qur'an are used to serve as a gateway to spirituality. In Al Zumar Muhammad recites: "We have put forth for men, in this Qur'an Every kind of parable, In order that they May receive admonition." (The Holy Qur'an, Al Zumar, 39:27). These parables are stories ... rooted in the physical world so that ...

• Word Count: 1896
• Approx Pages: 8
• Grade Level: High School

... the novel. The knowledge that Victor is pursuing and the knowledge the creature is pursuing, have primary differences. Victor is working to try to figure out how to "cheat death" or create living creatures. As he does this, this knowledge goes against what is accepted by society ... tells Walton of his dreadful tale of how his pursuit of knowledge had ruined his existence. Victor is gripped by the idea of the "secret of life". He wants to figure out what brings dead tissue to life. His obsession begins to take over his entire life and he loses touch with the people ... around him and wi...

• Word Count: 1506
• Approx Pages: 6
• Grade Level: High School

... when he comes over for dinner. Scout observes that Atticus and young Walter Cunningham talk together about farming like "two men." He tells Scout that it's important to try and understand people - "If you can learn a simple trick, Scout, you'll get along a lot better with all kinds of folks. You ... his point of view...until you climb into his skin and walk around in it" (39). He uses this idea to look past people's bad parts to see their struggle - Mrs. Dubose is an elderly morphine addict and she wants to die without drugs. As a result, she's going through drug withdrawal and this make...

• Word Count: 1941
• Approx Pages: 8
• Grade Level: High School

... , and that created the most terrifying images in my mind. Picturing them together again drove me crazy inside. This uncomfortable feeling was then brought to Ty's attention. I talked to him about how it makes me feel and how there was a lack of trust. Once I gained Tys trust, I though I was prepared for the relationship I was in. This was not the case for I didn't even consider ... Chris. I concentrate on building my trust with him. If I am going to be in Ty's life and Ty is going to be a part of Chris' life, it is essential that I have a trusting relationship with both Chris and Ty. Whe...

• Word Count: 1827
• Approx Pages: 7
• Grade Level: High School