Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 8 - Section 8.4 - Plane Curves and Parametric Equations - 8.4 Exercises - Page 618: 43

Answer

Graph is shown in the picture

Work Step by Step

Graph is shown in picture Maximum value of $x $ will be $sin1 \approx 0.84147$ becouse $cos( t) $ can be 1 maximum ad becouse $0\leq t \leq 2\pi $ minimal value of $cos (t) $ in that interval can be $-1$ so the minimum value of $x$ will be$-sin1\approx -0.84147$ For y $0\leq t \leq 2\pi $ then $0\leq t^{3/2}\leq \left( 2\pi \right) ^{3/2}$ İn that interval maximum and minimum values of $y$ are 1 and $-1$ respectively Graph is shown in the picture
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