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# (Solved): It takes 12 hours to drain a storage tank by opening the valve at the bottom. The depth y of fluid ...

It takes 12 hours to drain a storage tank by opening the valve at the bottom. The depth y of fluid in the tank t hours after the valve is opened is given by the formula yequals6 left parenthesis 1 minus StartFraction t Over 12 EndFraction right parenthesis squared m. Complete parts​ (a) through​ (c) below. Question content area bottom Part 1 a. Find the rate StartFraction dy Over dt EndFraction ​(in meters per​ hour) at which the tank is draining at time t. StartFraction dy Over dt EndFraction equals    negative left parenthesis 1 minus StartFraction t Over 12 EndFraction right parenthesis Part 2 b. When is the fluid level in the tank falling​ fastest? Slowest? What are the values of StartFraction dy Over dt EndFraction at these​ times?

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