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Compute the following convolutions.2 Since we have unit step functions available to express functions that are 0 for t < 0, you should be able

Compute the following convolutions.2 Since we have unit step functions available to express functions that are 0 for t < 0, you should be able to easily express your answers for parts (a) and (b) a single line, without a giant "conditional statement" like in Problem 2.1. Part (c) has three regions; you should still be able to express your answer in one line by employing a difference of unit step functions. (a) exp(2t)u(t) exp(4t)u(t) (b) exp(2t)u(t) exp(2t)u(t) (c) [u(t)u(t2)]sin(t)u(t) (Hint: Remember that a sinusoid integrated over a full, complete period results in 0. I recommend "flipping and shifting" the [u(t) u(t 2)] function and leaving sin(t)u(t) fixed to help see what is going on

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