Tank A contains 25 lbs of salt dissolved in 100 gal of water. Tank B contains 40 lbs of salt dissolved in 100 gal of water. The mixture from tank A is pumped to tank B at the rate of 30 gal per hr, while the mixture from tank B is pumped to tank A at the same rate. Assume that the mixture in each tank is uniform by stirring. Let A(t ) and B(t ) be the amount of salt in tanks A and B after t hours, respectively.
(a) Draw a two-compartment model for A(t ) and B(t ).
(b) Use the initial conditions A(0) = 25 and B(0) = 40 to solve for A and B.
(c) What are the equilibrium values of A and B? 18. (
You might also like to view...
Translate using numbers and symbols.The quotient of eighty-four and four
A. 84 - 4 B. 4 - 84 C. 4 ÷ 84 D. 84 ÷ 4
Translate the problem to a system of equations, then solve using Cramer's Rule.Jerry has 3 pieces of string. The total length is 82 inches. The sum of the two longer pieces is 70. The middle piece is twice as long as the shortest piece. What are the lengths of the 3 pieces?
A. 6, 12, and 64 inches B. 12, 24, and 46 inches C. 12, 46, and 56 inches D. No solution
Factor completely. If a polynomial is prime, then state this as your answer.2x3y2 - 6x2y3
A. 2x2y2(x - 3y) B. 2x2y2(x2 - 3x) C. xy(2xy - 6) D. 2x2y(xy - 3y)
Factor completely. If the polynomial is prime, so state.12z2 + 7z - 12
A. (12z + 4)(z - 3) B. (3z + 4)(4z - 3) C. (3z - 4)(4z + 3) D. prime