Question: Let f(t) be a function on [0,infty ) . The Laplace transform of f is the function F defined by the integral F(s)=int_0^(infty )

Let

f(t)

be a function on

[0,\\\\infty )

. The\ Laplace transform of

f

is the function

F

\ defined by the integral

F(s)=\\\\int_0^(\\\\infty ) e^(-st)f(t)dt

.\ Use this definition to determine the\ Laplace transform of the following function.\

f(t)=e^(-9t)cos3t

\ The Laplace transform of

f(t)

F(s)=

\ (Type an expression using

s

as the variable.)\ It is defined for

s>

\ (Type an integer or\ a fraction.)

$Let f(t) be a function on [0,\\\\infty ). The\ Laplace transform$

Let f(t) be a function on [0,). The Laplace transform of f is the function F Use this definition to determine the Laplace transform of the following function. f(t)=e9tcos3t The Laplace transform of f(t) is F(s)= (Type an expression using s as the variable.) It is defined for s> (Type an integer or a fraction.)

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