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12. (L86) If v(x) = x3 + 12x2 + 36x + 9 and = =3x2 + 24x + 36, find the local maximum and minimum of v(x). A. Local max: (6, 873); Local min: (2, 137) B. Local max: (2, 137); Local min: (-6, 9) C. Local max: (-6, 9); Local min: (-2, -23) D. Local max: (6, 873); Local min: (-2, -23) E. Local max: (-6, 873); Local min: (-2, 137) 13. (187) A rock is thrown downward with an initial velocity of 3 feet/sec from the top of a cliff. (Remember, the acceleration of a falling object is 32 ft/sec?.) Identify the function that describes the relationship between the rock's velocity v and time t. A. v= 16t + 3 B. v= 32 C. v = 32 + 3 D. v= 32t E. v= 161 + 3t 14. (L87) A tennis ball is thrown downward with an initial velocity of 10 feet/sec from the top of a cliff. (Remember, the acceleration of a falling object is 32 ft/sec .) Identify the function that describes the relationship between the distance d that the ball travels and time t. A. d = 1612 + 10 B. d = 16t + 10 C. d = 3272 + 10 D. d = 32 E. d = 161