Math151OldSolsConics

Math151OldSolsConics - QUIZ ON CHAPTER 13 SOLUTIONS MATH...

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QUIZ ON CHAPTER 13 SOLUTIONS MATH 151 – SPRING 2003 – KUNIYUKI 100 POINTS TOTAL 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: xt yt t =+ =- 2 3 4 in R (4 points) ty f 44 Together with =+ f = - () + =- + 2 3 xy y 43 or 8 19 2 2 2) Find a rectangular equation in x and y that has the same graph as the polar equation r 2 6 = sec csc q . (6 points) r r r rr 2 2 2 6 6 11 6 6 = =◊ = = = sec csc cos sin cos sin cos sin qq xy y x 6o r = 6 Note: The graph of this is a hyperbola.
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3) Sketch the graph of C using the grid below, where C is described by: xt yt t = = << cos sec 2 2 p (10 points) Clues: Because sec cos 2 2 1 x x = , the rectangular equation is y x = 1 2 (note that we have an even function of x here). Its unrestricted graph is: As t increases from 2 to (excluding the endpoints themselves), cos t stays negative; in particular, it decreases from 0 to –1 (excluding 0 and –1, themselves).
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This note was uploaded on 09/08/2011 for the course MATH 151 taught by Professor Bray during the Spring '07 term at Mesa CC.

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Math151OldSolsConics - QUIZ ON CHAPTER 13 SOLUTIONS MATH...

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