Properties of stirred tank solutions
a. Show that for general positive values of R, V, Ci, and m0, the solution of the initial value problem
is m(t) = (m0 – CiV)e–Rt/V + CiV.
b. Verify that m(0) = m0.
c. Evaluate
d. Suppose m0 and V are fixed. Describe the effect of increasing R on the graph of the solution.
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Calculus: Early Transcendentals, 2nd Edition
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