kg of salt A tank contains 60 kg of salt and 1000 L of water. Water containing 0.4 enters the tank at the rate 10. The solution is mixed and drains from the tank at the rate 2 min L .A(t) is the amount of salt in the tank at time t measured in kilograms. min (a) A(0) = 60 (kg) (b) A differential equation for the amount of salt in the tank is A'-4+2(A/(1000+8t)) t,A, A', A", for your variables, not A(t), and move everything to the left hand side.) (c) The integrating factor is (500+4t)^(1/4) (d) A(t)= (32t/5)(500+4t)^(5/4)(250t+t) (kg) = 0. (Use (e) Find the concentration of salt in the solution in the tank as time approaches infinity. (Assume your tank is large enough to hold all the solution.) concentration = kg L

kg of salt A tank contains 60 kg of salt and 1000 L of water. Water containing 0.4 enters the tank at the rate 10. The solution is mixed and drains from the tank at the rate 2 min L .A(t) is the amount of salt in the tank at time t measured in kilograms. min (a) A(0) = 60 (kg) (b) A differential equation for the amount of salt in the tank is A'-4+2(A/(1000+8t)) t,A, A', A", for your variables, not A(t), and move everything to the left hand side.) (c) The integrating factor is (500+4t)^(1/4) (d) A(t)= (32t/5)(500+4t)^(5/4)(250t+t) (kg) = 0. (Use (e) Find the concentration of salt in the solution in the tank as time approaches infinity. (Assume your tank is large enough to hold all the solution.) concentration = kg L

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter11: Differential Equations

Section11.1: Solutions Of Elementary And Separable Differential Equations

Problem 59E: According to the solution in Exercise 58 of the differential equation for Newtons law of cooling,...

See similar textbooks