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Consider the polar curves C₁: r = 3 (blue) and C₂: r = 2 − 2sin0 (red) and let R be the shaded region in the figure shown: 1.) Find all point/s of intersection of C₁and C₂. Express answer as polar coordinates (r, 0), where r > 0, 0 € [0, 2π). 2.) Set up an integral (do not evaluate) for the perimeter of R. 3.) Set up an integral (do not evaluate) for the area of R.

Consider the polar curves C₁: r = 3 (blue) and C₂: r = 2 − 2sin0 (red) and let R be the shaded region in the figure shown: 1.) Find all point/s of intersection of C₁and C₂. Express answer as polar coordinates (r, 0), where r > 0, 0 € [0, 2π). 2.) Set up an integral (do not evaluate) for the perimeter of R. 3.) Set up an integral (do not evaluate) for the area of R.

Algebra & Trigonometry with Analytic Geometry
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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Consider the polar curves C₁: r = 3 (blue) and C₂:r = 2 - 2sine (red) and let R be the shaded region in the figure shown: 1.) Find all point/s of intersection of C₁and C₂. Express answer as polar coordinates (r, 0), where r > 0, 0 € [0, 2π). 2.) Set up an integral (do not evaluate) for the perimeter of R. 3.) Set up an integral (do not evaluate) for the area of R.
Transcribed Image Text:Consider the polar curves C₁: r = 3 (blue) and C₂:r = 2 - 2sine (red) and let R be the shaded region in the figure shown: 1.) Find all point/s of intersection of C₁and C₂. Express answer as polar coordinates (r, 0), where r > 0, 0 € [0, 2π). 2.) Set up an integral (do not evaluate) for the perimeter of R. 3.) Set up an integral (do not evaluate) for the area of R.
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