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anonymous
 5 years ago
The volume of water remaining in a hot tub when it is being drained satisfies the differential equation
dV/dt = −2 ( V)^(1/2)
, where V is the number of cubic feet of water that remain t minutes after the drain is opened. Find V if the tub initially contained 121 cubic feet of water.
anonymous
 5 years ago
The volume of water remaining in a hot tub when it is being drained satisfies the differential equation dV/dt = −2 ( V)^(1/2) , where V is the number of cubic feet of water that remain t minutes after the drain is opened. Find V if the tub initially contained 121 cubic feet of water.

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0First separate variables and solve the differential equation for V

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0\[dV/V ^{1/2} = 2dt\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0so \[\int\limits_{?}^{?}dV/V ^{1/2} = \int\limits_{?}^{?} 2dt\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0where both of those are indefinite integrals

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0alright great! I've got it from there! Thank you very much.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0No problem, let me know if you get stuck anywhere else with this one

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0\[V = t ^{2}22t+121\] was the final answer i found

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0yes i did too except i left it as (t+11)^2
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