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AP® Calculus AB-BC

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The Definite Integral: Infestation

APCALC-P99QY3

An infestation of insects results in the destruction of a local farmer's organically grown corn at a rate of $r(t)=\cfrac { 110{ e }^{ -0.15t } }{ 1.5-{ e }^{ -t } } $pounds of corn per day.

Approximately how many pounds of corn are lost from days five, $t=5$, through ten, $t=10$?

A

$18$

B

$24$

C

$51$

D

$122$