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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 $$h(t)$$, in inches per hour, where $$t$$ is the number of hours after midnight. Which of the following best interprets the expression $$\frac{1}{8-3}\int_3^8 h(t)\, dt$$?

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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