Laplace

Show that if F(s) = [[f(x)] = So e-*f(x)dx , then : a. F'() = -[[xf()] b. F"(s) = [[x3f(x)] Show that if [[f (x)] = F(s), then C[e*f (x)] = F(s -k); where k is a constant Calculate : i. [[eax sin bx] ii. [[eax cos bx] Where a&b are constant