Question: (a) Find the function f such that L[f(t)]=(2)/(3(s+2)^(2)+12) . f(t)=(1)/(3)e (b) Find the function g such that L[g(t)]=(2(s-1))/(4(s+1)^(2)+100) . g(t)=(1)/(2)exp(-t)cos(5t)-(1)/(10)exp(-t)sin(5t) Note: If you
(a) Find the function
fsuch that
L[f(t)]=(2)/(3(s+2)^(2)+12).\
f(t)=(1)/(3)e\ (b) Find the function
gsuch that
L[g(t)]=(2(s-1))/(4(s+1)^(2)+100).\
g(t)=(1)/(2)exp(-t)cos(5t)-(1)/(10)exp(-t)sin(5t)\ Note: If you need the step function at
t=c, it should be entered as
u(t-c).
![(a) Find the function f such that L[f(t)]=(2)/(3(s+2)^(2)+12).\ f(t)=(1)/(3)e\ (b) Find](https://dsd5zvtm8ll6.cloudfront.net/si.experts.images/questions/2024/09/66f4ede46ce85_71666f4ede463e0c.jpg)
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