Explanation Given: r = 2 sin 2 θ r = 1 f o r 0 ≤ θ ≤ π 2 Description: Method: solution of the intersection of polar form curves: Step 1: Find all simultaneous solutions of the system of equations. Step 2: Determine whether the pole r = 0 lies on the two graphs. Consider the following equation, r = 2 sin 2 θ r = 1 f o r 0 ≤ θ ≤ π 2 Step 1: Find all simultaneous solutions of the system of equations. Equate both the equations for 0 ≤ θ ≤ π 2 : 2 sin 2 θ = 1 sin 2 θ = 1 2 θ = π 12 , 13 π 12 Here, θ = 13 π 12 does not belong to 0 ≤ θ ≤ π 2

Student's Solution and Survival Manual for Calculus

7th Edition

ISBN: 9781524934040

Author: STRAUSS MONTY J, TODA MAGDALENA DANIELE, SMITH KARL J

Publisher: Kendall Hunt Publishing

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Chapter 6, Problem 12SP

To determine

To find: The point of intersection of the polar curves

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Chapter 6, Problem 11SP

Chapter 6, Problem 13SP

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Chapter 6 Solutions

Student's Solution and Survival Manual for Calculus

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The point of intersection of the polar curves

Solution Summary: The author explains how to find the point of intersection of polar form curves.

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Chapter 6 Solutions