a. Curve P intersects the quarter circle at the point with polar coordinates (2, 60), where 0.

a: Curve P intersects the quarter circle a! th point with polar coordinates (2, 00), where O < 00 < L. Find the value of 00 . Find the value of do, and interpret the meaning of this value in the context of this problem. b. A particle moves along curve P in such a way that 0 = t for time 0 t < -L. Is the distance between the origin and the particle increasing or decreasing at time t = 1? Justify your answer. c. Find the polar coordinates (r, 0) of the point on curve P that is farthest from the origin. Justify your answer. d. First, determine which of the following expressions (A, B, C, or D) gives the slope of the line tangent to curve P at the point found in part c. Show the reasoning that leads to your choice. Then determine the slope of the line tangent to curve P at that point. sin O cos 0 sin 0 cos 0 sin 9