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AP Calculus AB/Unit 8: Applications of Integration
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Average Value of a Rate Function

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The rate of snow accumulation on the ground is given by the function h(t)h(t), in inches per hour, where tt is the number of hours after midnight. Which of the following best interprets the expression 18−3∫38h(t) dt\frac{1}{8-3}\int_3^8 h(t)\, dt?

A

The total depth of snow, in inches, that accumulated during the first 8 hours after midnight

B

The average rate of snow accumulation, in inches per hour, between 3 A.M. and 8 A.M.

C

The total depth of snow, in inches, that accumulated between 3 A.M. and 8 A.M.

D

The net change in the rate of snow accumulation, in inches per hour, between 3 A.M. and 8 A.M.

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