Math 32B‚ Lecture 2 Fall 2010 Practice Problems for Final (sections 17.6-17.9 1. (0 points) (a) Let C be a simple closed piecewise-smooth space curve which lies entirely in a plane‚ and suppose that the plane has upward-pointing unit normal vector given by n = ai + bj + ck. Show that the area of the portion of the plane enclosed by C is 1 2 C (bz − cy) dx + (cx − az) dy + (ay − bx) dz. (b) Let C be a simple closed smooth curve in the plane 2x + 2y + z = 2‚ oriented counter-clockwise
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Through bellicose diction in “Prayer for the Man Who Mugged My Father‚ 72”‚ Charles Webb conveys a spiteful tone. The stanza: “May you meet him there‚ the same age as you. May the meeting take place in a small‚ locked room” suggests that an altercation will take place. It implies the son wants his father to have retribution for the crime inflicted upon him. The phrase “the same age as you” indicates that the son wants the fight to be a fair fight. “Small‚ locked room” states that the son wants to
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3.) According to DuBois‚ “the problem of the twentieth century is the problem of the color line.” Using several representative examples‚ consider how American writers (of any color) since the Civil War have addressed this problem. DuBois’s quote‚ "The problem of the twentieth century is the problem of the color line‚" tells a great deal of how Americans in general felt towards segregation -- each side had suspicions about the goings-ons of the other race. Blacks had a stronger sense of such hesitency
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The idiom “there are plenty of fish in the sea” is not literally true. In fact‚ the documentary‚ The End of the Line‚ has estimated that by approximately 2050‚ there will be no fish in the sea. Overfishing is a serious issue that involves taking wildlife at increasingly higher rates than the species can replace. Because this issue is hidden under waters‚ people do not realize the seriousness nor do they realize the consequences. This film highlights some of the well-known species‚ such as bluefin
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History of the Illuminati The Illuminati trace their origins back thousands of years to their conception as a result of the genetic inbreeding between a reptilian extraterrestrial race and humanity. Their modern origin‚ however‚ traces back to the 1760s and a man named Adam Weishaupt‚ who defected from the Catholic church and organized the Illuminati‚ financed by the International Bankers. Since then‚ according to the Illuminati‚ their top goal has been to achieve a “one world government”
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Ball and Bats‚ Inc.: Double Line method and the Straight Line Method On January 1‚ 2005 the company Balls and Bats‚ Inc. made a purchase of equipment. The cost of the equipment was one hundred thousand dollars and had life expectancy of four years. The following schedules are the double-declining balance method and the straight line method of depreciation. This schedule will assist Balls and Bats‚ Inc determine the best method to depreciate there new acquisition. Further‚ the schedules will determine
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Career Opportunities in Hospitality Industry Cruise Line Hotel Director - The Hotel Director oversees the whole Hotel Operations including the Guest Services department‚ the Food and Beverage department‚ the Housekeeping department‚ and the Entertainment department. Marketing and Revenue Manager - Oversees all the revenues onboard the ship and helps implement strategies to increase onboard sales within various departments. Candidate works closely with the Hotel Director and Cruise Director as
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Describing Line: The Study of Canaletto’s Use of Line The purpose of this journal entry is to discuss the way Canaletto uses line in his work The Maundy Thursday Festival before the Ducal Palace in Venice. Also‚ it will compare the accuracy his work to that of a modern photograph of the same location. How do they differ? Line is used in nearly every aspect of art‚ whether it is an actual mark on the page or simply implied. Canaletto uses line to show the audience the boundaries in his art. He
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>cases State Farm: Dangerous Intersections >Abstract State Farm‚ the nation’s largest auto insurer‚ distributed a list of the 10 most dangerous intersections in the United States based on crashes resulting in claims by its policyholders. What started as a study to reduce risk turned into an ongoing study that directs a major public relations effort: State Farm provides funds for communities to further research their dangerous intersections and initiate improvements based on the research. This
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position on a map. Line - an unlimited number of points along the same path. The set of points may be straight or form a curve. Normally‚ the term ’line’ means a straight line. The ’line’ has no dimensions (length‚ width‚ height) and extends unlimited in both directions. (The part of a line defined by two points‚ called ’endpoints’‚ is call a line segment or ’segment’.) A ’line’ is represented by a drawn line with arrowheads on each end to represent that it doesn’t have endpoints. A line can be named in
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