Consider the curves: r = 2 + cos2? and r = 2 + sin2? a) Sketch a graph of both curves on the polar graph provided. b) Find all points of intersection. c) Find the total area inside r = 2 + cos (2?) and outside r = 2 + sin (2?)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.5: Polar Coordinates
Problem 90E
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6. Consider the curves: r = 2 + cos2? and r = 2 + sin2?
a) Sketch a graph of both curves on the polar graph provided.
b) Find all points of intersection.
c) Find the total area inside r = 2 + cos (2?) and outside r = 2 + sin (2?)

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