- Consider the cascade of two tanks , with V1 = 100 (gal) and V2 = 200 (gal) the
ID: 2940695 • Letter: #
Question
- Consider the cascade of two tanks , with V1 = 100 (gal) and V2 = 200 (gal) the volumes of the brine in the two tanks . Each tank also initially contains 50 Ib of salt . The three flow rates are each 5 gal/min , with pure water flowing into tank 1 .(a) Find the amount x(t)of salt in tank 1 at time t .
(b) Suppose that y(t) is the amount of salt in tank 2 at time t show the first that
dy/dt = 5x/100 - 5y/200 , and then solve for y(t) , using the function x(t) found in part (a) .
(c) Finally , find the maximum amount of salt ever the tank 2 .
Explanation / Answer
http://www.cramster.com/answers-sep-10/advanced-math/mixture-problems-cascade-tanks-v1-100-gal_926337.aspx
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