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Mathematics
Problem
A pump moves water at a rate of
r
(
t
)
r(t)
r
(
t
)
gallons per minute, where
t
t
t
is measured in minutes. What are the units of the definite integral
∫
2
6
r
(
t
)
d
t
\displaystyle \int_{2}^{6} r(t)\,dt
∫
2
6
r
(
t
)
d
t
? a)
(
gallons
)
(
minutes
)
(\text{gallons})(\text{minutes})
(
gallons
)
(
minutes
)
b)
gallons per minute
\text{gallons per minute}
gallons per minute
c)
gallons
\text{gallons}
gallons
d)
minutes per gallon
\text{minutes per gallon}
minutes per gallon
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