(1 point) Given the function f(t) = {sine if 0 <t< 61 if 61 <t. sint...
18. (1 point) The graph of f(t) is given above Express f(t) in terms of shifted unit step functions ut -a) Now find the Laplace transform F(s) of f(t). F(s) =
(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)
Find the Laplace transform of the function f(t). f(t) = sint if 0 St< $41; f(t) = 0 ift> 41 Click the icon to view a short table of Laplace transforms. F(s)=
PART B PART C PART D (1 point) Find the Laplace transform of f(t) = 3uſt - 2) – 4uſt - 3) – 5u(t – 5) F(s) = 1 (1 point) Consider the function f(t) = 0, t < 0 -5, 0 < t < 2 2 <t<81 4, t> 8 6, 1. Write the function in terms of unit step function f(t) = (Notation: write u(t-c) for the Heaviside step function ue(t) with step at t = c. For...
Find the Laplace transform of the function f(t). f(t) = sint if o St<$21; f(t) = 0 if t> 21 Click the icon to view a short table of Laplace transforms. F(S) =
(t) = 0 <t< dz W sint - 4) If 4 st. a. Use the graph of this function to write it in terms of the Heaviside function Use hit-a) for the Heavis de function shifted a units horizontaly f(t)- help (formulas) b. Find the Laplace transform F(x) = ()} FC) - 40) help (formulas) Note: You can earn partial credit on this problem
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
2t +1 if 0 <t< 2 Consider f(t) = { | 3t if t > 2. (a) Use the table of Laplace transforms directly to find the Laplace transform of f. (b) Express f in terms of the unit step function, then use Theorem 6.3.1 to find the Laplace transform of f.
t?, t<3 . Express the function f(t) = le4t, 3St<5 In terms of unit step functions and compute it's Laplace transform
Find the Laplace transform of the given function. (Enter your answer in terms of s.) f(t) = 3, 0, Ost < Ist < 00 L{f(t)} =