Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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Question
Find the slope of the tangent line to the polar curver = 2 sin(36) at the point corresponding to 6 = x/4. Show all work.
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Transcribed Image Text:Find the slope of the tangent line to the polar curver = 2 sin(36) at the point corresponding to 6 = x/4. Show all work.
Expert Solution
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r=2\sin \left(3\theta \right)

substitute the given angel \theta =\frac{\pi }{4}

r=2\sin \left(3\cdot \frac{\pi }{4}\right)

r= 2\sin \left(\frac{3\pi }{4}\right)

r= 2\cdot \frac{\sqrt{2}}{2}

r= \sqrt{2}

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