Math151OldQuizConics

Math151OldQuizConics - Math 151 Name QUIZ ON CHAPTER 13...

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Math 151 Name: ________________________ QUIZ ON CHAPTER 13 MATH 151 – SPRING 2003 – KUNIYUKI 100 POINTS TOTAL Show all work, simplify as appropriate, and use “good form and procedure” (as in class). Box in your final answers! No notes or books allowed. A scientific calculator is 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) Find a rectangular equation for the curve described by: x t y t t = + = - 2 3 4 in R (4 points) 2) Find a rectangular equation in x and y that has the same graph as the polar equation r 2 6 = sec csc q q . (6 points)
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3) Sketch the graph of C using the grid below, where C is described by: x t y t t = = < < cos sec 2 2 p p (10 points)
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4) Consider the curve described by: x e y t t t = = 2 0 (16 points total) a) Find the slope of the tangent line at the point on the curve that corresponds to t = 4 . Give an exact answer; don’t approximate. (10 points)
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