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 P (V₁-12). 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. C₂ P C₁

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