Single Integration in Polar coordinates: 1) Find the area a) Inside the cardioid r= 2 cos (0/3) and outside the circle of radius r = v2 centered at the origin. b) Inside the circle of radius r = v2 centered at the origin and outside the cardioid r= 2 cos (0/3). 2) Find the area a) Inside the lemniscate r = 6 cos 20 and outside the circle r = V3. b) Inside the lemniscate r = 6 cos 20 and inside the circle r = v3. c) Find the curve length of the lemniscate of the area Inside the lemniscate r? = 6 cos 20 and outside the circle r = V3. 3) Find the length of the curve r= cos (0/3), 0ses"4: 4) The curver = V1 + sin20 , 5) Find the area enclosed by one petal of r = cos (4 0)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
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Single Integration in Polar coordinates:
1) Find the area
a) Inside the cardioid r= 2 cos (0/3) and outside the circle of radius r = v2 centered
at the origin.
b) Inside the circle of radius r = v2 centered at the origin and outside the cardioid r = 2
cos (0/3).
2) Find the area
a) Inside the lemniscate r = 6 cos 20 and outside the circle r = V3.
b) Inside the lemniscate r = 6 cos 20 and inside the circle r = V3.
c) Find the curve length of the lemniscate of the area Inside the lemniscate r? = 6 cos 20
and outside the circle r = V3.
3) Find the length of the curve r = cos (0/3), 0< 0 <T/4:
4) The curver = V1 + sin20,
0< 0 <TVZ.
5) Find the area enclosed by one petal of r = cos (4 0)
Transcribed Image Text:Single Integration in Polar coordinates: 1) Find the area a) Inside the cardioid r= 2 cos (0/3) and outside the circle of radius r = v2 centered at the origin. b) Inside the circle of radius r = v2 centered at the origin and outside the cardioid r = 2 cos (0/3). 2) Find the area a) Inside the lemniscate r = 6 cos 20 and outside the circle r = V3. b) Inside the lemniscate r = 6 cos 20 and inside the circle r = V3. c) Find the curve length of the lemniscate of the area Inside the lemniscate r? = 6 cos 20 and outside the circle r = V3. 3) Find the length of the curve r = cos (0/3), 0< 0 <T/4: 4) The curver = V1 + sin20, 0< 0 <TVZ. 5) Find the area enclosed by one petal of r = cos (4 0)
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