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Solved: 5657. Walking on a surface Consider the following

Calculus: Early Transcendentals | 2nd Edition | ISBN: 9780321947345 | Authors: William L. Briggs ISBN: 9780321947345 167

Solution for problem 57 Chapter 12

Calculus: Early Transcendentals | 2nd Edition

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Calculus: Early Transcendentals | 2nd Edition | ISBN: 9780321947345 | Authors: William L. Briggs

Calculus: Early Transcendentals | 2nd Edition

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Problem 57

5657. Walking on a surface Consider the following surfaces and parameterized curves C in the xy-plane. a. In each case, find z1t2 on C. b. Imagine that you are walking on the surface directly above C consistent with the positive orientation of C. Find the values of t for which you are walking uphill. z = x2 - 2y2 + 4; C: x = 2 cos t, y = 2 sin t, for 0 t 2p

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Shakespeare’s King Lear 1 Style  Rhetoric as an elaborate disguise/ruse  Language of division  Prose with a touch of rhyme ­ Kent’s rhyme (1259) to emphasize the words and slow the reader down  Language of Nothing ­ Note: nothing and noting were pronounced the same way during this time  Anachronism (something not matching the current time period) ­ Mentioning King Arthur  Doubling of plot: (treachery vs. loyalty) ­ Sons of Gloucester: Edmund and Edgar ­ Daughters of King Lear: Goneril, Regan, and Cordelia 2. Language of Division  Dividing love between husband and father ­ Regan and Goneril have husbands, but not Cordelia (1257)  Pre­Christian Britain vs. Shakespeare’s time ­ Traditional gods vs. God ­ Christian resonance in language a. France: admires humble, poor, and virtuous people  holy richness despite poverty b. BUT potential pagan nature/moral issue (because the moral and virtuous Cordelia dies)  Renaissance Lit. vs. Early Modern Lit. (1265) ­ Renaissance (Gloucester) ­ Early Modern (Edmund) a. Skeptical, dismissive of traditional predictors of character (such as astrology and bastardization versus legitimacy) 3 King Lear  Social familial perception: Men have authority ­ Father = king = God (God is the father, father of the kingdom, kingdom of the castle­ dad)  Wants the benefits of being a king without the power and burden ­ Divides the kingdom a. Social background: King James (of unity) for uniting kingdoms b. Literary background: Shakespeare’s language of division suggests a more tragic plot 4. Cordelia  Criticism of sisters’ actions: their “glib of oily art” ­ Love does not necessarily mean telling someone what they want to hear (she cares for her father the most of all)

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Chapter 12, Problem 57 is Solved
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Textbook: Calculus: Early Transcendentals
Edition: 2
Author: William L. Briggs
ISBN: 9780321947345

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Solved: 5657. Walking on a surface Consider the following