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Multivariable Calculus

8th Edition
James Stewart
ISBN: 9781305266643
Textbook Problem

The figure shows a graph of r as a function of θ in Cartesian coordinates. Use it to sketch the corresponding polar curve.

47. Chapter 10.3, Problem 47E, The figure shows a graph of r as a function of  in Cartesian coordinates. Use it to sketch the

To determine

To sketch: Polar curve from the given Cartesian curve shown below in figure 1.

Explanation

Given:

The polar curve is shown below in figure 1.

Calculation:

From the figure 1, when θ increases from 0 to π2 , polar curve r increases from 0.5 to 2 in polar graph.

When θ increases from π2 to π , polar curve r decreases from 2 to 0.5

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