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Solution: Horizontal and vertical tangents Find the points

Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett ISBN: 9780321570567 2

Solution for problem 17E Chapter 10.3

Calculus: Early Transcendentals | 1st Edition

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Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

Calculus: Early Transcendentals | 1st Edition

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Problem 17E

Horizontal and vertical tangents Find the points at which the following polar curves have a horizontal or a vertical tangent line.r = sin 2?

Step-by-Step Solution:

Solution 17EStep 1:Derivative of a polar equation is Using this we get, (Using and ) Step 2:For horizontal tangents the derivative must be equal to zero. Using this we get orFor we get .For we get For we get At these angles, we calculate r as followsHence the horizontal tangents are at points,

Step 2 of 2

Chapter 10.3, Problem 17E is Solved
Textbook: Calculus: Early Transcendentals
Edition: 1
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
ISBN: 9780321570567

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Solution: Horizontal and vertical tangents Find the points

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