Question 1 (Essay Worth 40 points) (09.01 HC) A projectile is launched so that its velocity in feet per second at 1' seconds is given by the parametric equationsx '(t) = 62cos(0.44) and y '(t) = 625in(0.44) 9.8t. Part A: At what time does the projectile reach its maximum height? Justify your answer. (10 points) Part B: Show that the path of the projectile is concave down. (15 points) Part 0: Determine the distance traveled by the projectile after 2 seconds. (15 points) Question 2 (Essay Worth 30 points) (09.05 HC) Letf(9)=2-cosfor0$952rt. Part A: At what value of 9 does f(8) reach a maximum? (10 points) Part B: Determine the equation of a line tangent to f(6) at 9 = % Leave your answer as an exact value in point-slope form. (10 points) Part C: At what value of 9 is the tangent line to fvertical? (10 points) Question 3 (Essay Worth 30 points) (09.06 H6) The polar curves r = -3cos 9 and r = 1 - cos 9 are shown in the graph. Part A: Find the intersection points of the two graphs. Justify your answer. (10 points) Part B: Let S be the region that is inside the graph r = -3cos H and outside the graph r = 1 cos 9. Find the area of S. (20 points)