-)) Aiden ordered a set of beads. He received 150 beads in all. 24 of the beads were brown. What
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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) :