Oil flows into a tank according to the rate F(t)= and at the same time empties 1+t out at the rate E(t) = n(t+7), with both F(t) and E(t) measured in gallons per minute. t+2 How much oil, to the nearest gallon, is in the tank at time t = 12 minutes. You must show your setup but can use your calculator for all evaluations.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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5. Oil flows into a tank according to the rate F(t) =
+²+1
1+t
"
and at the same time empties
out at the rate E(t) = n(t+7), with both F(t) and E(t) measured in gallons per minute.
t+2
How much oil, to the nearest gallon, is in the tank at time t = 12 minutes. You must
show your setup but can use your calculator for all evaluations.
Transcribed Image Text:5. Oil flows into a tank according to the rate F(t) = +²+1 1+t " and at the same time empties out at the rate E(t) = n(t+7), with both F(t) and E(t) measured in gallons per minute. t+2 How much oil, to the nearest gallon, is in the tank at time t = 12 minutes. You must show your setup but can use your calculator for all evaluations.
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