Quiz 8

course Mth 271

Write the differential equation expressing the hypothesis that the rate of change of a temperature is proportional to the temperature T. Evaluate the proportionality constant if it is known that the when the temperature is 3709 its rate of change is known to be 500. If this is the t=0 state of the temperature, then approximately what will be the temperature at t = 1.8? What then will be the temperature at t = 3.6?dT/dt = T0( r)^t

3709 = P0(500)^t

At t = 0

3709 = P0(500)

P0 = 3709/500 = 7.418

At t = 1.8

P = 7.418(500)^1.8 = 2659000

At t = 3.6

P = 7.418(500)^3.6 = 7.068 * 10^12

&#At least part of your solution does not agree with the solution and comments given at the link below. You should view the solution at that link and self-critique as indicated there.

Solution

&#