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We will find later (with separation of variables) that the solution for Newton s law of cooling with initial condition H(0) is
H(t) = A + [H(0) - A]e-αt.
For each set of given parameter values,
a. Write and check the solution.
b. Find the temperature at t = 1 and t = 2.
c. Sketch of graph of your solution. What happens as t approaches infinity?
Set α = 0.2/min, A = 10°C, and H(0) = 40. |
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