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)=