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: 41

Answer

Rectangular equation: $x^2 - y = 0$ Graph:

Work Step by Step

**Remember:(I) $r^2 = x^2 + y^2$, (II) $tan(θ) = \frac{y}{x}$, (III) $rcos(θ) = x$, (IV) $rsin(θ) = y$ $r = sec(θ)tan(θ)$ $r = \frac{1}{cos(θ)}tan(θ)$ Multiplying both sides by "cos(θ)": $rcos(θ) = tan(θ)$ Using (II) and (III): $x = \frac{y}{x}$ Multiplying both sides by "x": $x^2 = y$ $x^2 - y = 0$
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