6a. By the convolution theorem,
6b. Similarly,
7. Take the Laplace transform of both sides, noting that the integral is the convolution of and
.
where . Then
, and
We have the partial fraction decomposition,
Then we can easily compute the inverse transform to solve for f(t) :
Answer:
-2 > -6 . . . or . . . R > S
Step-by-step explanation:
If you plot the temperatures of the two cities on a number line, you see that the temperature for City R is plotted to the right of the temperature for City S. This means the temperature of City S is less than that of City R.
If your inequality relates cities:
S < R or R > S
If your inequality relates temperatures:
-6 < -2 or -2 > -6
