Section 3 Laplace Transforms 1. Calculate the Laplace transforms of the following functions by direct integration:...

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Section 3 Laplace Transforms 1. Calculate the Laplace transforms of the following functions by direct integration: (i) f(t) = cosh(wt), (ii) f(t) = sinh(t), (iii) f(t)= H(t-a)- H(t-b), for 0<a<b. (iv) f(t) = cos²(kt). For this question you should use the integral definition of the Laplace transform to calculate your answ 2. Calculate the Laplace transforms of the following functions: (i) f(t) = H(t-1) cos(3t-3), (ii) f(t) = 1²e²t (iii) f(t) = 8e-* sin(2t), Section 3 Laplace Transforms 1. Calculate the Laplace transforms of the following functions by direct integration: (i) f(t) = cosh(wt), (ii) f(t) = sinh(t), (iii) f(t)= H(t-a)- H(t-b), for 0<a<b. (iv) f(t) = cos²(kt). For this question you should use the integral definition of the Laplace transform to calculate your answ 2. Calculate the Laplace transforms of the following functions: (i) f(t) = H(t-1) cos(3t-3), (ii) f(t) = 1²e²t (iii) f(t) = 8e-* sin(2t),

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