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Q7.

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Precalculus Mathematics for Calculus

Found in: Page 600

Book edition 7th Edition

Author(s) James Stewart, Lothar Redlin, Saleem Watson

Pages 948 pages

ISBN 9781337067508

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Short Answer

Graphs of Polar Equations Match the polar equation with the graphs labeled I-VI. Use the table on page 519 to help you.
. $r = \sin 3 θ$

The graph of the curve in its polar form with $r = \sin 3 θ$ is the 1st graph.

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1.Given information.

A polar equation. $r = \sin 3 θ$

Step 2. The correct plot of the equation.

We have a curve in its polar form with. $r = \sin 3 θ$

We use this to determine the coordinates of the points on the curve by plugging in different values of $θ$ . So,

Plotting these points on the coordinate plane we see that the graph of the curve is,

So this curve has a graph that matches with the 1st graph.

Most popular questions for Math Textbooks

Yes or No? If No, give a reason.

Do the polar coordinates $(2, \frac{π}{6})$ and $(- 2, \frac{7 π}{6})$ represent the same point?

Different Polar Coordinates for the Same Point Plot the point that has the given polar coordinates. Then give two other polar coordinate representations of the point, one with $r < 0$ and the other with $r > 0$ $(2, \frac{3 π}{4})$

Plotting Points in Polar Coordinates Plot the point that has the given polar coordinates $(6, - \frac{7 π}{6})$

Different Polar Coordinates for the Same Point Plot the point that has the given polar coordinates. Then give two other polar coordinate representations of the point, one with $r < 0$ and the other with $r > 0$ $(- 2, - \frac{π}{3})$

Graphing Polar Equations Sketch a graph of the polar equation

$r = 1 + \sin θ$ .

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