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Part (2) Double Integration in Polar coordinates: 1) Find the area of the region cut from the first quadrant by the curve r = 2(2 - sin 20)2. 2) Find the area of the region that lies inside the cardioid r= 1+ cos 0 and outside the circle r = 1. 3) Find the area enclosed by one leaf of the rose r= 12 cos 30. 4) Find the area of the region common to the interiors of the cardioids r =1+ cos 0 and r= 1- cos 0. 5) Find the area enclosed by the circle r = 3 cos 0 and the cardioid r =1+ cos 0.

Part (2) Double Integration in Polar coordinates: 1) Find the area of the region cut from the first quadrant by the curve r = 2(2 - sin 20)2. 2) Find the area of the region that lies inside the cardioid r= 1+ cos 0 and outside the circle r = 1. 3) Find the area enclosed by one leaf of the rose r= 12 cos 30. 4) Find the area of the region common to the interiors of the cardioids r =1+ cos 0 and r= 1- cos 0. 5) Find the area enclosed by the circle r = 3 cos 0 and the cardioid r =1+ cos 0.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.7: Applied Problems
Problem 54E
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Part (2) Double Integration in Polar coordinates: 1) Find the area of the region cut from the first quadrant by the curve r = 2(2 - sin 20)2. 2) Find the area of the region that lies inside the cardioid r=1 + cos 0 and outside the circle r = 1. r = 12 cos 30. 3) Find the area enclosed by one leaf of the rose 4) Find the area of the region common to the interiors of the cardioids r = 1 + cos 0 and r = 1 - cos 0. 5) Find the area enclosed by the circle r = 3 cos 0 and the cardioid r = 1+ cos 0.
Transcribed Image Text:Part (2) Double Integration in Polar coordinates: 1) Find the area of the region cut from the first quadrant by the curve r = 2(2 - sin 20)2. 2) Find the area of the region that lies inside the cardioid r=1 + cos 0 and outside the circle r = 1. r = 12 cos 30. 3) Find the area enclosed by one leaf of the rose 4) Find the area of the region common to the interiors of the cardioids r = 1 + cos 0 and r = 1 - cos 0. 5) Find the area enclosed by the circle r = 3 cos 0 and the cardioid r = 1+ cos 0.
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