3. (a) State the Mean Value Theorem IN YOUR OWN WORDS. What does it say in practical terms?

(b) Opie Timization is slowing down as he approaches a stop light. As he reaches the stop light, he has slowed to a speed of 4 ft/sec and the light turns green and Opie begins to accelerate at a

rate of 27 ft/sec for the first eleven seconds after the light turns green.Based on these facts, Opie's position function can be shown to be s(t)= 13.5t^2+4t on the t interval [0,11]. Use the MEAN VALUE

THEOREM to prove whether Opie should get a speeding ticket or not. Assume a 35 mph (51.3 ft/sec) speed limit. NOTE: You must specifically apply the THEOREM (and check the conditions) and make the appropriate conclusion as stated in the theorem.

(b) Opie Timization is slowing down as he approaches a stop light. As he reaches the stop light, he has slowed to a speed of 4 ft/sec and the light turns green and Opie begins to accelerate at a

rate of 27 ft/sec for the first eleven seconds after the light turns green.Based on these facts, Opie's position function can be shown to be s(t)= 13.5t^2+4t on the t interval [0,11]. Use the MEAN VALUE

THEOREM to prove whether Opie should get a speeding ticket or not. Assume a 35 mph (51.3 ft/sec) speed limit. NOTE: You must specifically apply the THEOREM (and check the conditions) and make the appropriate conclusion as stated in the theorem.

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Dear Student. Also increase the... View the full answer