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1291) Determine the Inverse Laplace Transform of F(s)=(6s + 14)/(s^2+28s+452). The answer is f(t)=A*exp(-alpha*t)*cos(w*t) + B*exp(-alpha*t)*sin(w*t)....

1291) Determine the Inverse Laplace Transform of F(s)=(6s + 14)/(s^2+28s+452).
The answer is f(t)=A*exp(-alpha*t)*cos(w*t) + B*exp(-alpha*t)*sin(w*t).
Answers are: A,B,alpha,w where w is in rad/sec and alpha in sec^-1. ans:4
          
1292) Determine the Inverse Laplace Transform of F(s)=(6s + 14)/(s^2+28s+452).
The answer is f(t)=Q*exp(-alpha*t)*sin(w*t+phi). Answers are:
A,alpha,w,phi where w is in rad/sec  and phi is in rad ans:4

Please help me solve this.

Thanks

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