Respuesta :

Answer:

Step-by-step explanation:

we have given F(s)=[tex]\frac{11}{\left ( s^2+9 \right )^2}[/tex]

[tex]\frac{11}{\left ( s^2+9 \right )^2}[/tex] = [tex]\frac{A}{S^2+9}+\frac{B}{\left ( S^2+9 \right )^2}[/tex]

using partial fraction method

11= A[tex]S^2[/tex]+9A+B

on comparing A=0 and B=11

putting the value of A and  B in function

F(s)=[tex]\frac{11}{\left ( s^2+9 \right )^2}[/tex]

now taking inverse laplace

f(t)=[tex]11te^{-9t}[/tex]

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