TWELVEPEANUTS11
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- Sep 21, 2010
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Note: In some situations, the ambient temperature is not necessarily constant- it may be a function of time
At t=0, a sealed test tube containing a chemical is immersed in a liquid bath. The initial temperature of the test tube is 65 degrees F. The liquid bath has a controlled temperature given by Tm(t) = 90 - 35e^(-.2t), t>= 0 where t is measured in minutes. Assume that k = -.2 in the appropriate equation.
a) before solving the inital value problem, describe in words what you expect the temperature T(t) of the chemical to be like in both the short term and long term
b) solve the initial value problem.
At t=0, a sealed test tube containing a chemical is immersed in a liquid bath. The initial temperature of the test tube is 65 degrees F. The liquid bath has a controlled temperature given by Tm(t) = 90 - 35e^(-.2t), t>= 0 where t is measured in minutes. Assume that k = -.2 in the appropriate equation.
a) before solving the inital value problem, describe in words what you expect the temperature T(t) of the chemical to be like in both the short term and long term
b) solve the initial value problem.