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 622: 24

Answer

(a) See the graph. (b) $4(x^2+y^2)=(x-4)^2$

Work Step by Step

(b) $x=r~cos~θ$ $y=r~sin~θ$ $r^2=x^2+y^2$ $r=\frac{4}{2+cos~θ}$ $r=\frac{4}{2+\frac{x}{r}}$ $2r+x=4$ $2r=4-x~~$ (Square both sides) $4r^2=(4-x)^2$ $4(x^2+y^2)=(x-4)^2$
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