Find the polar coordinates of the points of intersection of the two polar curves. At the point where theta = pi/3, determine the slope of the tangent line to C2. Set up (but do not evaluate) the integral that gives the area and the perimeter of the region R

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.4: Multiple-angle Formulas
Problem 40E
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  1. Find the polar coordinates of the points of intersection of the two polar curves.
  2. At the point where theta = pi/3, determine the slope of the tangent line to C2.
  3. Set up (but do not evaluate) the integral that gives the area and the perimeter of the region R.

 

C1: r = 2 - cos 0, C2: r = 2 + 2 cos 0,0 € [0, 2T)
2
C2
C1
-R
4
-3
-2
2.
Transcribed Image Text:C1: r = 2 - cos 0, C2: r = 2 + 2 cos 0,0 € [0, 2T) 2 C2 C1 -R 4 -3 -2 2.
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