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 - 10.4 Exercises - Page 722: 9

Answer

Rectangular coordinates: $(4.21, 1.58)$ -----

Work Step by Step

In polar coordinates, the first number represents the value for $r$, and the second number represents the value for $\theta$. $(-4.5, 3.5)$ Thus: $r = -4.5$ and $\theta = 3.5$ Knowing that $x = rcos(\theta)$ and $y = rsin(\theta):$ $x = rcos(\theta) = (-4.5)(cos(3.5)) \approx 4.21$ $y = rsin(\theta) = (-4.5)(sin(3.5)) \approx 1.58$
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