Consider the polar curves C₁ : r = 2 - cas 0 and C₂: r = 2 + 2 cos 0, 0 € [0, 27). 1 (1.) Show that both C₁ and C₂ are symmetric with respect to the polar axis. (2.) Find the polar coordinates of the points of intersection of C. and C₂ (3.) Find the slope of the line tangent to C₂ at the point where 8 = T 3 (4.) Set up, but do not evaluate the integrals equal to the area and the perimeter of the region S in the figure below) in between C₁ and C₂. C₁=2 cas C₂:r = 2 + 2 cos 0 2/2 -1 2 3

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