Question: Consider the functionf(t)={0fort <522sin(2t)fort52(a) Rewrite the function f(t)as follows:f(t)=Au(t-t0)sin(2(t-t0))Find the constants t0 and A.t0=,,A=,Hints:Rewrite the sin(2t)=sin(2(t-t0+t0)) for an appropriate t0.Use the trigonometric identity sin(+)=sin()cos()+sin()cos() for

Consider the functionf(t)={0fort<522sin(2t)fort52(a) Rewrite the function f(t)as follows:f(t)=Au(t-t0)sin(2(t-t0))Find the constants t0 and A.t0=,,A=,Hints:Rewrite the sin(2t)=sin(2(t-t0+t0)) for an appropriate t0.Use the trigonometric identity sin(+)=sin()cos()+sin()cos() for =2(t-t0) and =2t0.(b) Use the form off(t) found in part (a)to find F(s)=L[f(t)], the Laplace transform off(t).F(s)=

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