2. Initially, a tank contains 100 L of water with 10 kg of sugar in solution....

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2. Initially, a tank contains 100 L of water with 10 kg of sugar in solution. Water containing sugar flows into the tank at the rate of 2 L/min, and the well-stirred mixture in the tank flows out at the rate of 5 L/min. The concentration c(t) of sugar in the incoming water varies as c(t) = 2 + cos (3t) kg/L. Let Q(t) be the amount of sugar (in kilograms) in the tank at time t (in minutes). Which differential equation does Q(t) satisfy? A. B. C. D. E. dQ dt dQ dt dQ dt dQ dt dQ dt 2(2+ sin (3t)) - = 2(2+ cos (3t)) - = 2(2+ sin (3t)) - = 2(2+ cos (3t)). = 2+ cos (3t) 5Q 100 - 3t 5Q 100 - 3t 5Q 100 5Q 100 Q 100-t 2. Initially, a tank contains 100 L of water with 10 kg of sugar in solution. Water containing sugar flows into the tank at the rate of 2 L/min, and the well-stirred mixture in the tank flows out at the rate of 5 L/min. The concentration c(t) of sugar in the incoming water varies as c(t) = 2 + cos (3t) kg/L. Let Q(t) be the amount of sugar (in kilograms) in the tank at time t (in minutes). Which differential equation does Q(t) satisfy? A. B. C. D. E. dQ dt dQ dt dQ dt dQ dt dQ dt 2(2+ sin (3t)) - = 2(2+ cos (3t)) - = 2(2+ sin (3t)) - = 2(2+ cos (3t)). = 2+ cos (3t) 5Q 100 - 3t 5Q 100 - 3t 5Q 100 5Q 100 Q 100-t