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Laplace transform

Please show all the steps and working.

1. Complete the following inverse Laplace transforms:
a) 1/(2s + 4)
b) 5s/(16+s^2)
c) 10/s^2
d) 4/(s-2)^2 + 16
e) (9s+ 23) /(s+2)(s+3)

2. Complete the following Laplace transforms:
a) 20
b) 20sin(5t)
c) 20exp(-5t)
e) 20exp(-5t)cos(5t)
f) 20t^2

Please see the attachment for complete question.

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Solution Summary

It shows how to find the Laplace transform and its inverse by applying the basic table and properties of Laplace transform.