1. Make up a function F(t)that is of exponential order but where f(t) =F'(t) is not of exponential order. Make up a function f that is not of exponential order but whose Laplace transform exists. (10 pts) 2. Under what conditions is a linear function f(x) = mz+b, m # 0, a linear transform? (10 pts) 3. With a slight change in notation the transform {f'(t) =s F(s)-f(0) is the same as e{f' (t) = s {f(t)}- f (0). With f(t) teat, discuss how this result in conjunction with {eat]: be used to evaluate {teat). (10 pts) 4. Make up two functions fi and f2 that have the same Laplace transform. (10 pts) - == can s-a