Find the Laplace transform F(s) = L {f(t)} of the function f(t) = 3e-10t + 9t + 5et, defined for t > 0. F(s) = L {3e¬10t + 9t + 5e"} = help (formulas) For what values of s does the Laplace transform exist? help (inequalities)

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Q: Please show all solution with explanation. thanks

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A: we will use this formulae for finding th inverse laplace transformL-1{1s}=1L-1{1sn}=tn-1(n-1)! for…