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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.

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.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.2: Trigonometric Equations
Problem 104E
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Part (1) Single Integration in Polar coordinates: 1) Find the area 2 centered a) Inside the cardioid r= 2 cos (0/3) and outside the circle of radius r = V 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 = 3. c) Find the curve length of the lemniscate of the area Inside the lemniscate r? = 6 cos 20 %3D and outside the circle r = - V3. 3) Find the length of the curve r = cos (0/3), 0 < 0<"4: 4) The curve r = V1 + sin20, 0 < 0 <TV2. 5) Find the area enclosed by one petal of r= cos (4 0)
Transcribed Image Text:Part (1) Single Integration in Polar coordinates: 1) Find the area 2 centered a) Inside the cardioid r= 2 cos (0/3) and outside the circle of radius r = V 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 = 3. c) Find the curve length of the lemniscate of the area Inside the lemniscate r? = 6 cos 20 %3D and outside the circle r = - V3. 3) Find the length of the curve r = cos (0/3), 0 < 0<"4: 4) The curve r = V1 + sin20, 0 < 0 <TV2. 5) Find the area enclosed by one petal of r= cos (4 0)
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