Consider the polar curves r = 2 sin 0 + cos 0 and r = sin 0 + 2 cos 0 as shown in the figure below. r= 2 sin 0 + cos 0 r= sin 0 + 2 cos 0 (a) Find the value of 0 where the curves intersect in the first quadrant. (b) Set up, but DO NOT EVALUATE, an integral or integrals for the area of the shaded region.

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 53E
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Consider the polar curves r = 2 sin 0 + cos 0 and r = sin 0 + 2 cos 0 as shown in the figure
below.
r= 2 sin 0 + cos 0
r= sin 0 + 2 cos 0
(a) Find the value of 0 where the curves intersect in the first quadrant.
(b) Set up, but DO NOT EVALUATE, an integral or integrals for the area of the shaded
region.
Transcribed Image Text:Consider the polar curves r = 2 sin 0 + cos 0 and r = sin 0 + 2 cos 0 as shown in the figure below. r= 2 sin 0 + cos 0 r= sin 0 + 2 cos 0 (a) Find the value of 0 where the curves intersect in the first quadrant. (b) Set up, but DO NOT EVALUATE, an integral or integrals for the area of the shaded region.
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