A pump delivers water into an empty storage tank at an instantaneous rate of liters…

MATHEMATICS · Single correct · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

A pump delivers water into an empty storage tank at an instantaneous rate of

P(t)=e^{0.5t}

liters per minute, with

t

measured in minutes. Determine the time

T>0

at which exactly

10

liters of water have entered the tank. (a)

\ln 6

(b)

2\ln 5

(c)

2\ln 6

(d)

2\ln 10