Math151Quiz5

Math151Quiz5 - Math 151 Name: _ QUIZ 5 (CHAPTER 13) MATH...

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Math 151 Name: ________________________ QUIZ 5 (CHAPTER 13) MATH 151 – SPRING 2004 – KUNIYUKI 105 POINTS TOTAL, BUT 100 POINTS = 100% Show all work, simplify as appropriate, and use “good form and procedure” (as in class). Box in your final answers! No notes, books, or calculators allowed. When graphing, be reasonably accurate, and clearly indicate orientation. Use as many arrowheads as appropriate. Clearly indicate x - and y -intercepts, endpoints, and extreme points when feasible. 1) A plane curve C is described by: xt yt t =+ =- £< 82 64 02 cos sin p Find a corresponding rectangular equation in x and y . (7 points)
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2) A plane curve C is described by: xt yt t =- =+ ££ 2 42 0 sin sin p Sketch the graph of C using the grid below. Use arrowheads and labels to clearly indicate orientation for any relevant value of t . (10 points)
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3) (For parts a) through e).) A plane curve C is described by: xe yt t t = =- -£ £ 4 3 21 51 0 (38 points total) a) Find the slope of the tangent line at the point on the curve that corresponds to t = 2. b) Find the point(s) on C at which the tangent line is horizontal. If there are
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Math151Quiz5 - Math 151 Name: _ QUIZ 5 (CHAPTER 13) MATH...

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