Mean Value Theorem and Extreme Value Theorem

AP Calculus AB· difficulty 3/5

A car travels 120120 miles in 22 hours. By the MVT, at some instant its <strong>instantaneous</strong> speed equals

  • A

    Cannot conclude

  • B

    120 mph120~\text{mph}

  • C

    60 mph60~\text{mph}

    check_circle
  • D

    0 mph0~\text{mph}

Explanation

Average =60= 60. By MVT (assuming continuous, differentiable motion), some instant has v=60v = 60.

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