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?