(10 points): Use the following steps to compute the convolution t* (sint - et): (a) find...

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(10 points): Use the following steps to compute the convolution t* (sint - et): (a) find the Laplace transform of t* (sin t - e'); (b) find a partial fraction decomposition of the Laplace transform obtained in Part (a); (c) find the inverse Laplace transform of the partial fraction decomposition found in Part (b). (10 points): Use the following steps to compute the convolution t* (sint - et): (a) find the Laplace transform of t* (sin t - e'); (b) find a partial fraction decomposition of the Laplace transform obtained in Part (a); (c) find the inverse Laplace transform of the partial fraction decomposition found in Part (b).