ADVANCED ENGINEERING MATH

solve it with proper solutions

Find the Laplace transform of the following signals: (a) f(o) = (2r + 4)u(1) (b) g(1) = (4+ 3e-"' ju(1) (c) h(r) = (6 sin(3r) + 8 cos(3r)) u (1) (d) x(t) = (e " cosh(4))u(t) Find the Laplace transform F(s), given that f(r) is: (a) 2mm(r - 4) (b) 5 cos() 8(1 - 2) (c)e 'n(t - 1) (d) sin(2t) u (t - 7) Determine the Laplace transforms of these functions: (a) f(n) = (r - 4)u(1 - 2) (b) g(t) = 2e du(r - 1) (c) h(r) = 5 cos(2r - 1 )u(t) (d) p(t) = 6[u(r - 2) - u(1 - 4)] In two different ways, find the Laplace transform of 8(1) = (te 'cost)