Consider the polar curves C₁ : r = 3 (in blue) and C₂: r = 2-2 sin (in red) and let R be the shaded region as shown in the figure below. 1. Find all point/s of intersection of C₁ and C₂. Write your answer as polar coordinates (r, 0), where r > 0, 0 [0, 2π). 2. Set up an integral for the perimeter of R. 3. Set up an integral for the area of R.

Consider the polar curves C₁ : r = 3 (in blue) and C₂: r = 2-2 sin (in red) and let R be the shaded region as shown in the figure below. 1. Find all point/s of intersection of C₁ and C₂. Write your answer as polar coordinates (r, 0), where r > 0, 0 [0, 2π). 2. Set up an integral for the perimeter of R. 3. Set up an integral for the area of R.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section: Chapter Questions

Problem 18T

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