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: 8

Answer

a) As t increases, x and y increase. b) $y=(x+1)^{3}+1$
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Work Step by Step

a) $x=t-1$ $y=t^{3}+1$ $-2 \leq t \leq 2$ When, t=-2 x=-3 y=-7 t=-1 x=-2 y=0 t=0 x=-1 y=1 t=1 x=0 y=2 t=2 x=1 y=9 b) $x=t-1$ $x+1=t$ $y=t^{3}+1$ $y=(x+1)^{3}+1$
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