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4 April, 00:33

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

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  1. 4 April, 02:05
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    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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