Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 12 - Parametric Equations, Polar Coordinates, and Conic Sections - Chapter Review Exercises - Page 638: 10

Answer

$$y=(x-1)^{2/3}-4$$

Work Step by Step

We set $x=t^3+1$. Solve for $t$ to get: $t=(x-1)^{1/3}$ Now plug into the $y$ equation: $$y= t^2-4=(x-1)^{2/3}-4$$
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