For the functions f(t) = 2t and g(t) = sin(t), defined on 0...

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For the functions f(t) = 2t and g(t) = sin(t), defined on 0 <t < o0, compute f * g in two different ways: a. By directly evaluating the integral in the definition of f * g. (f * g)(t) : dw = b. By computing L-1{F(s)G(s)}where F(s) = L{f(t)}and G(s) = L {g(t)}. %3D %3D (f * g)(t) = L-' {F(s)G(s)} = L=1{ [ %3D help (formulas) %3D For the functions f(t) = 2t and g(t) = sin(t), defined on 0 <t < o0, compute f * g in two different ways: a. By directly evaluating the integral in the definition of f * g. (f * g)(t) : dw = b. By computing L-1{F(s)G(s)}where F(s) = L{f(t)}and G(s) = L {g(t)}. %3D %3D (f * g)(t) = L-' {F(s)G(s)} = L=1{ [ %3D help (formulas) %3D