a) Consider the following function f(t)={cost,cos2t,0≤t<π.t≥π. i. Express the function in terms of unit step function.
Posted: Tue Jul 12, 2022 12:44 pm
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 )