ZillDiffEQModAp11 7.R.032 -/3 points 12. Express f in terms of unit step functions. f() 1+ 2...
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...
Express the following functions in terms of unit step functions and find the Laplace transforms. 2 f(t)= 0 0<ts 1<t<21 t> 21 sint (12 marks)
(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)
Express f in terms of unit step functions. f(t) 0 ft) = t + (t-2)2(t-1) O f(t)-t - 2t2l(t -1) (t - 2)22(t - 2) O f(t)t - (t - 1)2l(t - 1) (t 1)2l(t - 2) Find ift)) and Xíe f(t). (Enter your answer in terms of s.) 1-2625 (s + 1)
10. /1 points Zill DiffEQModAp11 7.3.057 Write the function in terms of unit step functions. Find the Laplace transform of the given function. t2 F(s) - Need Help? Read It Talk to a Tutor Submit Answer Save Progress 11. -/1 points ZillDiffEQModAp11 7.3.059 Write the function in terms of unit step functions. Find the Laplace transform of the given function. 0, t2 9 F(s) Need Help? Read It Talk to a Tutor
t?, t<3 . Express the function f(t) = le4t, 3St<5 In terms of unit step functions and compute it's Laplace transform
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))
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,...
A) Sketch the graph of the given functionB) Express f(t) in terms of the unit step function (t).f(t)= { t^2, 0t2,1, t2
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