It is raining on a parking lot. The rate that rain falls on the parking lot, in gallons per minute, t minutes after the rain starts, is given by R(t) = 60+10. The rate at which water is carried away by the storm drain is S(t) = 50+ 5 gallons per minute. Compute the value of the definite integral below, and explain its practical significance. t+10° t+20 60 5.0⁰ (R(t) - S(t)) dt

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.4: Total Differentials And Approximations
Problem 10E: Use the total differential to approximate each quantity. Then use a calculator to approximate the...
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It is raining on a parking lot. The rate that rain falls on the parking lot, in gallons per
minute, t minutes after the rain starts, is given by R(t) = 60+ 10. The rate at which water
is carried away by the storm drain is S(t) = 50+20 gallons per minute. Compute the value
of the definite integral below, and explain its practical significance.
t+10
60
(RO
(R(t)- S(t)) dt
Transcribed Image Text:It is raining on a parking lot. The rate that rain falls on the parking lot, in gallons per minute, t minutes after the rain starts, is given by R(t) = 60+ 10. The rate at which water is carried away by the storm drain is S(t) = 50+20 gallons per minute. Compute the value of the definite integral below, and explain its practical significance. t+10 60 (RO (R(t)- S(t)) dt
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