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This is a two-part question. (a) Let

`f(t)`

be the function

`2sin(2t)-6cos(6t)`

. Suppose that

`F(s)`

is the Laplace transform of

`f(t)`

. Enter the expression in

`s`

representing the function

`F`

in Maple syntax.

`F(s)=`

(b) Let

`F(s)`

be the function

`(4)/(s^(2)+4)-(72s)/((s^(2)+36)^(2))`

. Suppose that

`f(t)`

is the inverse Laplace transform of

`F(s)`

. Enter the expression in

`t`

representing the function

`f`

in Maple syntax.

`f(t)=`