same rate. Letting c(t) be the concentration of salt in the tank at time t, show that the limiting concentration-that is, limtc(t)-is 2lb/gal. Write an equation for the rate of salt (in lb/min ) that flows into the tank, where t is the time in minutes. Flowin= Write an equation for the rate of salt (in lb/min ) that flows out of the tank, where t is the time in minutes. Flow out= below. A. The rate of change of c(t) is equal to the difference between the flow of salt into the tank and the flow of salt out of the tank, multiplied by the volume of the tank. B. The rate of change of c(t) is equal to the square root of the difference between the flow of salt into the tank and the flow of salt out of the tank. C. The rate of change of c(t) is equal to the difference between the flow of salt into the tank and the flow of salt out of the tank, divided by the volume of the tank. D. The rate of change of c(t) is equal to the difference between the flow of salt into the tank and the flow of salt out of the tank, plus the volume of the tank. Write an equation for the volume of the tank in terms of t. volume =gal Write an equation for the rate of change of c(t),dtdc. same rate. Letting c(t) be the concentration of salt in the tank at time t, show that the limiting concentration-that is, limtc(t)-is 2lb/gal. Write an equation for the rate of change of c(t),dtdc dtdc= Use c(0)=100s0 and the equation for dtdc to write the equation for c(t). c(t)= As t approaches infinity, what is the limit of the term e0.08t ? A. limte0.08t=2 B. limte0.08t= C. limte0.08t= D. limte0.08t=0