Precalculus: Mathematics for Calculus, 7th Edition

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

Chapter 8 - Review - Exercises - Page 623: 45

Answer

(a) See the graph. (b) $(x-1)^2+(y-1)^2=1,~~1\leq x\leq2,~~0\leq y\leq1$

Work Step by Step

(a) $t=0$: $x=2$ $y=1$ $t=\frac{\pi}{2}$: $x=1$ $y=0$ So, the curve move in the clockwise direction. (b) $x=1+cos~t$ $cos~t=x-1$ $y=1-sin~t$ $sin~t=1-y$ $cos^2t+sin^2t=1$ $(x-1)^2+(1-y)^2=1$ $(x-1)^2+(y-1)^2=1$
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