Question

1. A body at an unknown temperature is placed in a room which is held at a constant temperature of 30° F. If after 10 minutes the temperature of the body is 0° F and after 20 minutes the temperature of the body is 15° F, find the unknown initial temperature.  I need to use MATLAB for this. Thankyou! Finals Answers:-30° F

Answer 1

T is the temp of the body.

Matlab Code:

A = [-10 -1;-20 -1]
b = [log(30);log(15)]
x = inv(A)*b
u = x(2)
y = exp(-u)
T = 30-y

Output:

A =

   -10    -1
   -20    -1

b =

    3.4012
    2.7081

x =

    0.0693
   -4.0943

u =

   -4.0943

y =

   60.0000

T =

-30.0000