Explanation Given data: The curve is traced by moving point ( x , y ) = ( 3 z + 1 , z 2 − 4 ) , for particular values of z as a function of time such that z =-3,-2,-1,0,1,2,3 . Method/Formula used: The points are plotted using graphing calculator. Calculation: The parametric equations are x = 3 z + 1 , y = z 2 − 4 , and parameter z moves such that z =-3,-2,-1,0,1,2,3 . The coordinates of points ( x , y ) corresponding to z =-3,-2,-1,0,1,2,3 are shown in following table: z x = 3z+1 y = z 2 - 4 ( x , y ) -3 -8 5 (-8,5) -2

14th Edition

ISBN: 9781464151088

Author: Associate Professor Laura Taalman, Peter Kohn

Publisher: W.H. Freeman & Company

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Chapter 3.5, Problem 1TF

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To graph: The parametric curve x=x(z) , y=y(z) for given values of parameter z.

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Chapter 3.5, Problem 65P

Chapter 3.5, Problem 2TF

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Chapter 3 Solutions

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To graph: The parametric curve x = x ( z ) , y = y ( z ) for given values of parameter z.

Solution Summary: The author explains how the parametric curve is traced by moving point (x,y)=(3z+1,z24) for given values of parameter z as a function of time.

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To graph: The parametric curve x=x(z) , y=y(z) for given values of parameter z.

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Chapter 3 Solutions