An oil storage tank ruptures at time t = 0 and oil leaks from the tank at a rate of r(t) = 115e−0.01t liters per minute. how much oil leaks out during the first hour? (round your answer to the nearest liter.) liters

6311.33 liters.

Explanation:

r ( t ) = 115 e^-.01t

amount of oil leaked = ∫ 115 e^ -.01t dt

= 115/ .01 x [e^-.01t]⁶⁰= 11500 x e^ -.01 x 60 =11500x.5488 = 6311.33 L

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