To find f(t)
Take partial fraction and do inverse Laplace transform.
Formula used:
7e 3s Find the inverse Laplace transform of F(s) $2 + 49 f(t) = Note: Use (u(t-a)) for the unit step function shifted a units to the right.
Find f(t) for: 2s + 5 s2 +3s + 2
(1 point) Consider the function 10s2 +3s 6 a. Find the partial fraction decomposition of F(s): 10%,+ 3s + 6 b. Find the inverse Laplace transform of F(s). help (formulas)
Q2d 400 Gen(s+4)(s2+4s+5)(s+4s+2-3s+2+3) Find the partial fraction expansion of F(s) and then use the Laplace transform tables to find f(t) ft)- cos( t+ oju(t) COS
Consider the signal x(t) that has a Laplace transform of the form: s2-3s +1 X (s) where a, a , β, and γ are real constants E Fs +G Write a MATLAB FUNCTION called "values" that will take the values of αι, α2,β, and y and compute the constants A, B, C, D, E, F, and G. The Matlab function will also take these computed values and plot the function x(t) (meaning you will have to plot the obtained values...
Find f(s) if f(t) is given as Find F(s) if f(t) is given as 0 xki) 2 or lo 3x ku Half-wave rectification
6. Mix and match. You may also answer "none of these" F(s) = L{ft) f(t)= {F($)} 4 – 36 – 4e 35+3 s-(S-1) та 3s +3 $2(52 -1) - 4+7t + 4e7 -6-3t + 6e -7s+3 s-(s -1) 7s+7 $2(2-1) d -7-7t + Tet | 3s +7 s(s+1) le - 3 – 3t + 3e' 3s +7 $2(5+1) 3 - 3t - 3 cos t + 3 sint 4 + 70-4e | 3s - 7 s-(s-1) | 3s +7 s-(s-1)...
1 point Find the Laplace transform F(s) of the function f(t) - t-S(t F(s)
Find F(s). L{(1 - e* + 3e-4t) cos(2t)} S 5-1 F(s) II + 52 + 52 - 2s + 5 3s +12 52 +85 + 20 x
f(t) F(S) (s > 0) S (s > 0) n! t" ( no) (s > 0) 5+1 T(a + 1) 1a (a > -1) (s > 0) $4+1 (s > 0) S-a 1. Let f(t) be a function on [0,-). Find the Laplace transform using the definition of the following functions: a. X(t) = 7t2 b. flt) 13t+18 2. Use the table to thexight to find the Laplace transform of the following function. a. f(t)=t-4e2t b. f(t) = (5 +t)2...