Johnny rode his bike 4/7 of a mile from his house to the lake on a straight path. then, he turned around and rode his bike 3/1/8
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) :