Problem B-2-1 Derive the Laplace transform of the function Problem B-2-2 f(t) = 0 1<0 =te-2 1≥0 Find the Laplace transforms of the following functions: (a) fi(t) = 0 t<0 = 3 sin(5t + 45°) 1≥0 (b) f2(t) = 0 t< 0 = 0.03(1 cos 2t) 1≥0 Problem B-2-5 What is the Laplace transform of the function f(r) shown in Figure 2-13? Problem B-2-6 Obtain the Laplace transform of the pulse function f(r) shown in Figure 2-14. f(1)4 f(t) b 0 a a+b Figure 2-13 Function f(t). C 0 a b Figure 2-14 Pulse function.