Multivariable Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 0-53849-787-4
ISBN 13: 978-0-53849-787-9

Chapter 10 - Parametric Equations and Polar Coordinates - 10.3 Exercises - Page 687: 16

Answer

This curve corresponds to a line that is parallel to the $y$ axis, at $x = 4$.

Work Step by Step

Knowing that $rcos(\theta) = x$: $r = 4sec (\theta)$ $r = \frac{4}{cos(\theta)}$ $rcos(\theta) = 4$ $x = 4$ - This curve follows the pattern* for a vertical straight line that is parallel to the $y$ axis, but at $x = constant$, which is $4$ in this case. * $x = constant$
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