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Precalculus Mathematics for Calculus
Found in: Page 600
Precalculus Mathematics for Calculus

Precalculus Mathematics for Calculus

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+sinθ .

The equation r=1+sinθ can be graphed as.

See the step by step solution

Step by Step Solution

Step 1. Given information.

The given polar equation is r=1+sinθ .

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+sinθ

In general form, it can be written as r=a(1±sinθ)

Thus, it is a cardioid.

Step 3. It can be graphed as.

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