1. (09.01 HC) A projectile is launched so that its velocity in feet per second at t seconds is given by the parametric equations x '(t) = 62cos(0.44) and y '(t) = 62sin(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 C: Determine the distance traveled by the projectile after 2 seconds. (15 points) B i U Font Family - AA A F 95 #V2. (09.05 HC) Let f(0) = 2 - sine for 0 s 0 s 2nt. Part A: At what value of 8 does f(0) reach a maximum? (10 points) Part B: Determine the equation of a line tangent to f(0) at e = . Leave your answer as an exact value in point-slope form. (10 points) Part C: At what value of @ is the tangent line to f vertical? (10 points) B i U Font Family - AA A 9 #V3. roses Ho) The polar curves r = 35in El and r = \"I + sin E! 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 = 35in B and outside the graph r ='I + sin 9. Find the area of S. (20 points}