At t = 0 a sealed test wbe containing a chemical is immersed in a liquid bath. The
Chapter 2, Problem 18(choose chapter or problem)
At t = 0 a sealed test wbe containing a chemical is immersed in a liquid bath. The initial temperature of the chemical in the test tube is 80F. The liquid bath has a conttolled temperature (measured in degrees Fahrenheit) given by Tm(t) = 100 - 40e-0 t t, t 0, where t is measured in minutes. {a) Assume that k = -0.1 in (2). Before solving the IVP, describe in words what you expect the temperature T(t) of the chemical to be like in the short term.. In the long term. {b) Solve the initial-value problem. Use a graphing utility to plot the graph ofT(t) on time intervals of various lengths. Do the graphs agree with your predictions in part (a)?
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