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 t 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 happ...

a Ht 30 10e 002t H0 40 matching the initial condition d ...

We will find later (with separation of variables) that the solution for Newton's law of cooling with

Question:

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 = 0.02/min, A = 30°C, and H (0) = 40.