3. Consider the curves given by the polar equations r = 2 and r = 4 cos 0.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 31E
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Look at picture please! Please do parts a,b,c. 

3. Consider the curves given by the polar
equations r = 2 and r = 4 cos 0.
a) Algebraically determine all points of
intersection of the two polar curves given
above.
b) Set up an integral(s) that will calculate the
area of the common interior of r = 2 and
r = 4 cos 0 as shown at the right.
c) For the curve r = 4 cos 0, find an expression for
Evaluate
de
at the value 0 = . Explain what the
value of is describing in terms of the graph/curve.
de
Transcribed Image Text:3. Consider the curves given by the polar equations r = 2 and r = 4 cos 0. a) Algebraically determine all points of intersection of the two polar curves given above. b) Set up an integral(s) that will calculate the area of the common interior of r = 2 and r = 4 cos 0 as shown at the right. c) For the curve r = 4 cos 0, find an expression for Evaluate de at the value 0 = . Explain what the value of is describing in terms of the graph/curve. de
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