AP® Calculus AB-BC

Free Version

Upgrade subject to access all content

Difficult

Rainfall: Solving for Net Change Limits of Integration

APCALC-80Y3FS

Rain is falling at a rate of:

$$R(t)=4{ e }^{ -0.5t }\text{ gallons/hour}$$

...where $t$ is measured in hours.

At what time is the total change in rainfall $3\text{ gallons}$?

A

$6.214\text{ hours}$

B

$0.940\text{ hours}$

C

$0.892\text{ hours}$

D

$0.575\text{ hours}$