a) Consider the following function f(t)={cost,cos2t,0≤t<π.t≥π. i. Express the function in terms of unit step function.
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a) Consider the following function f(t)={cost,cos2t,0≤t<π.t≥π. i. Express the function in terms of unit step function.
a) Consider the following function f(t)={cost,cos2t,0≤t<π.t≥π. i. Express the function in terms of unit step function. ( 1 mark) ii. Hence, find its Laplace transform. ( 5 marks) b) Evaluate L{t3e−3tδ(t−2)} (4 marks) c) By using Convolution Theorem, find the inverse transform of F(s)=(s−1)(s2+1)s (5 marks )
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