A 200 L reservoir being filled with water at a rate of Q'(t) = 3√t, how much water flows after 1 hour
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A 200 L reservoir being filled with water at a rate of Q'(t) = 3√t, how much water flows after 1 hour

[From: ] [author: ] [Date: 12-09-04] [Hit: ]
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Q'(t) is in L/min

Also when does the tank be full

Please give me step by step solutions.

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i) No Q'(t) is already a rate/min
Q'(60) = 3√60 L/min

ii) 200 = integral 3t^(1/2) dt from 0 to t
200 = [2t^(3/2)] from 0 to t
100 = t^(3/2)
t = 21.5 minutes
1
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