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Consider the polar curves C₁ and C₂, where: • C₁ is the upper half of the circle r = cos 0. • C₂ is the petal of the rose r = cos(40) above the polar axis that is symmetric about the π --axis. 2 ● In the first quadrant, C₁ and C₂ inter- sect at the point with polar coordinates √5-1 2π P 4 5 1. Verify algebraically that the pole is also a point of intersection of C₁ and C₂. 2. Set up the (sum/difference of) integral(s) equal to the area of the shaded region. FIN ㅠ 2 C₁ 0

Consider the polar curves C₁ and C₂, where: • C₁ is the upper half of the circle r = cos 0. • C₂ is the petal of the rose r = cos(40) above the polar axis that is symmetric about the π --axis. 2 ● In the first quadrant, C₁ and C₂ inter- sect at the point with polar coordinates √5-1 2π P 4 5 1. Verify algebraically that the pole is also a point of intersection of C₁ and C₂. 2. Set up the (sum/difference of) integral(s) equal to the area of the shaded region. FIN ㅠ 2 C₁ 0

Algebra & Trigonometry with Analytic Geometry
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 34E
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Consider the polar curves C₁ and C₂, where: C₁ is the upper half of the circle r = cos 0. C₂ is the petal of the rose r = cos(40) above the polar axis that is symmetric about the ㅠ --axis. 2 ● In the first quadrant, C₁ and C₂ inter- sect at the point with polar coordinates √5-1 2π P 4 5 1. Verify algebraically that the pole is also a point of intersection of C₁ and C₂. 2. Set up the (sum/difference of) integral(s) equal to the area of the shaded region. ka C₁
Transcribed Image Text:Consider the polar curves C₁ and C₂, where: C₁ is the upper half of the circle r = cos 0. C₂ is the petal of the rose r = cos(40) above the polar axis that is symmetric about the ㅠ --axis. 2 ● In the first quadrant, C₁ and C₂ inter- sect at the point with polar coordinates √5-1 2π P 4 5 1. Verify algebraically that the pole is also a point of intersection of C₁ and C₂. 2. Set up the (sum/difference of) integral(s) equal to the area of the shaded region. ka C₁
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