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a) Find the Laplace transform of f(t)=tcosh2tsinh3t. (4 marks) b) Consider the piecewise function f(t)={sin3t,et,0≤t<π,
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a) Find the Laplace transform of f(t)=tcosh2tsinh3t. (4 marks) b) Consider the piecewise function f(t)={sin3t,et,0≤t<π,
a) Find the Laplace transform of f(t)=tcosh2tsinh3t. (4 marks) b) Consider the piecewise function f(t)={sin3t,et,0≤t<π,t≥π. Express the function f(t) in terms of unit step function. Then, find the Laplace transform of f(t). (6 marks ) c) Use convolution theorem to find L−1{s2(s2+9)4}. (5 marks )
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