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A) The differential equation comes from the fact that the rate of temperature change is proportional to the difference in temperatures.
B) Find general solution by separating variables and integrating
:
C) Initial condition is t=0, T = 87
D) Total time elapsed is 10 minutes, new temperature is 84
solve for alpha
E) Temperature function is:
solving for t
Plug in T = 98.6
This is approximately 32 minutes before he arrived or about 1:20 AM
B) Find general solution by separating variables and integrating
C) Initial condition is t=0, T = 87
D) Total time elapsed is 10 minutes, new temperature is 84
solve for alpha
E) Temperature function is:
solving for t
Plug in T = 98.6
This is approximately 32 minutes before he arrived or about 1:20 AM