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11. [-/5 Points] DETAILS LARHSCALC1 9.AP.011. MY NOTES ASK YOUR TEACHER On the interval 0

11. [-/5 Points] DETAILS LARHSCALCI 9.AP.011. On the interval O S e S 27, the graphs of the polar curves r = 3 and r = 2 + 2 cos() intersect when e = 7/3 and e = 57/3. MY NOTES ASK YOUR TEACHER (a) Let R be the region enclosed within both r = 3 and r = 2 + 2 cos(6). Find the area of the region R. (Round your answer to four decimal places.) (b) A particle moving along the curve r = 2 + 2 cos() has position (x(t), y(t)) at time t, where = 0 when t = 0. The particle moves along the curve such that dr/dt = dr/d9. Find the value of dr/dt at e = 7/3. dt Interpret your answer in terms of the motion of the particle. The particle is moving Select C the origin of the polar coordinate system. (c) For the particle described in part (b), dx/dt = dx/d. Find the value of dx/dt at e = z/ 3. dx dt Interpret your answer in terrns of the motion of the particle. The particle is moving to the Select ...z on the rectangular coordinate system. Need Help?