t?, t<3 . Express the function f(t) = le4t, 3St<5 In terms of unit step functions and compute it's Laplace transform
(1 point) Sketch the graph of the function K 00 0 Use the graph to express k(t) in terms of shifts of the Heaviside step function h(t). k(t) = (1 point) Sketch the graph of the function K 00 0 Use the graph to express k(t) in terms of shifts of the Heaviside step function h(t). k(t) =
(1 point) Sketch the graph of the function K 00 0 Use the graph to express k(t) in terms of shifts of the Heaviside step function h(t). k(t) = (1 point) Sketch the graph of the function K 00 0 Use the graph to express k(t) in terms of shifts of the Heaviside step function h(t). k(t) =
Express the waveform shown below in terms of the unit step function or the ramp function. 1. x(t) 0 2 4 t(sec) -10 Answer: x(t)= Express the waveform shown below in terms of the unit step function or the ramp function. 2. xt) 5 0 2 4 t(sec) -5 Answer: x(t)= LC 10 Express the waveform shown below in terms of the unit step function or the ramp function. 1. x(t) 0 2 4 t(sec) -10 Answer: x(t)= Express the...
2. Spts) Express (0) in terms of the unit step function ue(t) and find its Laplace transform. f(t) = 0, 0 St<1 2, 13t<4 Ten, t24
(1 point) The graph of f(t) is given above Express f(t) in terms of shifted unit step functions u(t - a) f(t) = tu(t-2)+u(t-4)-u(t-8) Now find the Laplace transform F(s) of f(t) F(s)
a) i. Express in terms of the unit step function, the piecewise continuous causal functions (2t2, Ost<3 F(t) = {t + 4, 3 st<5 9, t25 [3 marks] ii. Use Laplace transforms to solve the initial value problem a) 7" + 16y = 4cos3t + s(t – 1/3) where y(0) = 0 and y'(0) = 0. [7 Marks) E.K. Donkoh (Ph.D) or [7 marks) B) y' – 3y = F(t), where y(0) = 0 and (sint, Osts F(t) = 1,...
To ostane Express f(t) = sin(t) "<t <t in terms of only t, the unit step function, and Const numerical constants, as appropriate. Your expression cannot be explicitly piecewise like the above definition.
Express f in terms of unit step functions. fo) 1- 3 t-(t-1)2(t-1)-T(t-4) O t2(t-4) O t-1+ (t-4) O ti(t-1) _ (t-1)- (t-4) Find f(t) and Xset f(t). (Enter your answer in terms of s.) Xiet f(t))
Express f in terms of unit step functions. f() 1 2 f(t) = t + (t - 2)U(t - 1) Of(t) = t - (t - 1)U(t - 1) + (t - 1)U(t - 2) Of(t) = t - 2tU(t - 1) + (t - 2)U(t - 2) f(t) = t - 2t - 1)U(t - 1) + (t - 2)U(t - 2) f(t) = t - tU(t - 1) - (t - 2)U(t - 2) Find L{f(t)} and L{et...