Find Laplace Transform for the following functions: 5- f(t) = 3t^e2t 6- f(t) = e-+(2+* + 3t2 +10) 7- f(t) = e-4 cos(3) Find Laplace inverse: 5- F(s) 2 2+9 6- F(S) = (s+3)* 7- F($) = (s+1)(8-2) 10 8- F(s) = (3-3)(s+4) 9. F(S) s(s-1)(3-4) 35+1
3) al find the Laplace transform F(s) of the function (3-1²"Sebt sin (7+) 6) Find the inverse Laplace transform f(t) of the function F (S) S²+5-20
Find the Laplace transform F(s) L(f(t)) given f(t) = 5e-4 sin(5t) + 2e cos(6t). F(8) =
(1 point) Find the Laplace transform F(s) = £{f(t)} of the function f(t) = e2t-12 h(t – 6), defined on the interval t > 0. F(s) = L {e2t–12h(t – 6)} = help (formulas)
(1 point) a. Find the Laplace transform F(s)-f(t)) of the function f(t)-7+sin(2t), defined on the interval t 0 F(s) = L(7 + sin(2t)) = help (formulas) b. For what values of s does the Laplace transform exist? help (inequalities)
Find Laplace Transform Find the Laplace transform F(s) = ({f(t)} of the function f(t) = 4 + 4 + sin(8t). F(s) = ({4+4+" + sin(8t)} =
3. Find the inverse Laplace transform of F(s)- 3. Find the inverse Laplace transform of F(s)-
18. Given f(t) = e-at sin(bt) u(t) Using the Laplace transform properties find the Laplace transform of a) g(t) = tf(t) b) m(t) = f(t - 3) this means replace all the occurrences of t with t-3 in f(t)
18. Given f(t) = e-at sin(bt) u(t) Using the Laplace transform properties find the Laplace transform of a) g(t) = tf(t) b) m(t) = f(t - 3) this means replace all the occurrences of t with t-3 in f(t)
What is the Laplace transform of: f(t)=-8sin(6t)+9H(t-27)cos(6t)? Your answer should be expressed as a function of s using the correct syntax. Note that the correct syntax for it is Pi. For example: (2-3*exp(-Pi*s)/(s^2+1) Laplace transform is F(s) = Skipped