Determine the laplace transform of the given functions, Electrical Engineering

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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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