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Q. Determine the Laplace transform for each of the following functions from the basic de?nition of Equation.
(a) f1(t) = u(t)
(b) f2(t) = e-at
(c) f3(t) = df (t) dt, assuming f (t) is transformable.
(d) f4(t) = t
(e) f5(t) = sin ωt
(f) f6(t) = cos(ωt + θ)
(g) f7(t) = te-at
(h) f8(t) = sinh t
(i) f9(t) = cosh t
(j) f10(t) = 5f(t) + 2 df (t)
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