Which ordered pair would be a solution to the equation y = 2x -9?
2 answers:
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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) :
To solve this we are going to use the formula for the area of a circle: 
where
is the area of the circle
is the diameter of the circle
We know from our problem that the area of our circle is 10 inches long, so
. Lets replace that value in our formula to find :
We can conclude that the correct answer is: 78.54 square inches, or in centimeters: 506.7 square cm.
where
We know from our problem that the area of our circle is 10 inches long, so
We can conclude that the correct answer is: 78.54 square inches, or in centimeters: 506.7 square cm.
