Multivariable Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 0-53849-787-4
ISBN 13: 978-0-53849-787-9

Chapter 10 - Parametric Equations and Polar Coordinates - 10.1 Exercises - Page 665: 6

Answer

a) (graph) As t increases, y increases. b) $x= -4y - 3$ $y=-\frac{1}{4}x-\frac{3}{4}$
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Work Step by Step

a) t=-2 x=1- 2(-2)=5 y=(1/2)(-2)-1= -2 t=-1 x=1-2(-1)=3 y=(1/2)(-1)-1= -1.5 t=0 x=1-2(0)= 1 y=(1/2)(0)-1= -1 t=1 x=1-2(1)=-1 y=(1/2)(1)-1 = -0.5 t=2 x=1-2(2)= -3 y=(1/2)(2)-1 = 0 t=3 x=1-2(3)= -5 y=(1/2)(3)-1 = 0.5 t=4 x=1-2(4)= -7 y=(1/2)(4)-1 = 1 b) y= (1/2)t - 1 y+1=(1/2)t 2y+2=t x=1-2t x=1-2(2y+2) x=1-4y-4 x=-4y-3
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