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Q26.

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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

Graphing Polar Equations Sketch a graph of the polar equation
$r = 1 + \sin θ$ .

The equation $r = 1 + \sin θ$ can be graphed as.

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Given information.

The given polar equation is $r = 1 + \sin θ$ .

Step 2. The graph of the polar equation.

We will find the general form of the given equation. Then using the inferences drawn from it, we will draw the graph.

The given polar equation is $r = 1 + \sin θ$

In general form, it can be written as $r = a (1 \pm \sin θ)$

Thus, it is a cardioid.

Step 3. It can be graphed as.

Most popular questions for Math Textbooks

Polar to Rectangular Sketch a graph of the polar equation, and express the equation in rectangular coordinates.

$r = 6 \sin θ$

Polar to Rectangular Sketch a graph of the polar equation, and express the equation in rectangular coordinates.

$θ = - π / 2$ .

Polar Equations to Rectangular Equations

Convert the polar equation to rectangular coordinates

$r = 1 + \cos θ$

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 $r > 0$ $(- 1, \frac{7 π}{6})$

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 $r > 0$ $(2, \frac{3 π}{4})$

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