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1. Find the equation of the tangent line to the circle 1' = 4cost9 at the point where 9 = 23/ 6. Also ﬁnd the polar coordinates of the points on the circle at which there is a horizontal or a vertical tangent line. 2. Graph and shade the region enclosed by the curves y = 2 — x2 and y = x. Determine the volume of the solid obtained by rotating the shaded region about the line (a) y = —l and (b) x = —1.

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