Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter 10 - Conics, Parametric Equations, and Polar Coordinates - Review Exercises - Page 743: 59

Answer

$\left( {x,y} \right) = \left( {0, - 5} \right)$

Work Step by Step

$$\eqalign{ & \left( {\underbrace 5_r,\underbrace {\frac{{3\pi }}{2}}_\theta } \right){\text{ }} \cr & {\text{Find the rectangular coordinates }}\left( {x,y} \right) \cr & x = r\cos \theta ,{\text{ and }}y = r\sin \theta ,{\text{ then}} \cr & x = 5\cos \left( {\frac{{3\pi }}{2}} \right) = 0 \cr & y = 5\sin \left( {\frac{{3\pi }}{2}} \right) = - 5 \cr & {\text{Therefore}}{\text{, the rectangular coordinates are:}} \cr & \left( {x,y} \right) = \left( {0, - 5} \right) \cr & \cr & {\text{Using Geogebra we obtain}} \cr & {\text{Graph}} \cr} $$
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