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Mean Value Theorem

Mean Value Theorem. Mean Value Theorem. Using MVT. For find all values c in (-1,1) s.t. Answer. Find slope of secant line and solve f’(X) = slope. More MVT.

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Mean Value Theorem

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  1. Mean Value Theorem

  2. Mean Value Theorem

  3. Using MVT • For find all values c in (-1,1) s.t.

  4. Answer • Find slope of • secant line • and solve • f’(X) = slope.

  5. More MVT • At 9:13 AM a car was travelling at 35 mph. 2 min later the car was travelling 85 mph. Prove that at some time in that 2 min the car’s acceleration was 1500 mi/hr2

  6. Answer • Let the beginning time be 0 and change 2 min to hrs. Use MVT to obtain acceleration.

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