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(2) Find

`L{f(t)}`

of the functions

`f(t)`

given below by thm7.1.1 and LINEARITY of Laplace transform Thm7.1.1 = e^-st for t> or equal to 0. (a)

`f(t)=2t^(4)`

; (b)

`f(t)=(t+1)^(3)`

; (c)

`f(t)=cos(5t)+sin(2t)`

; (d)

`f(t)=sinh(\alpha t)=(1)/(2)(e^(\alpha t)-e^(-\alpha t))`

;