Evaluate the Laplace transform of the following: cos kt} = sta 1. Prove: L{e-at 2. f(t) = e-3t(1+ sin 4t – 2t?) 3. f(t) = (t + 1)sin (t + 2) 4. f(t) = 2(t + 3)e-(t+5) 5. f(t) = cos? t using the integration process. %3D (s+a)2+k2 7. L{t? cos t dt =0, 4

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