(a) Suppose that a reservoir supplies water to an industrialpark at a constant rate of r
Chapter 5, Problem 69(choose chapter or problem)
(a) Suppose that a reservoir supplies water to an industrial park at a constant rate of \(r=4\) gallons per minute (gal/min) between 8:30 A.M. and 9:00 A.M. How much water does the reservoir supply during that time period?
(b) Suppose that one of the industrial plants increases its water consumption between 9:00 a.m. and 10:00 a.m. and that the rate at which the reservoir supplies water increases linearly, as shown in the accompanying figure. How much water does the reservoir supply during that 1-hour time period?
(c) Suppose that from 10:00 a.m. to 12 noon the rate at which the reservoir supplies water is given by the formula \(\mathrm{r}(t)=10+\sqrt{t}\) gal/min, where \(t\) is the time (in minutes) since 10:00 a.m. How much water does the reservoir supply during that 2-hour time period?
Equation Transcription:
r = 4
r(t) = 10 +
t
Text Transcription:
r = 4
r(t) = 10 + sqrt t
t
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