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

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.
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