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9 (b) 5 Find the inverse Laplace transform of G(s) = /2*g) using convolutions.
b.) Find inverse Laplace Transform f(t) of F(S) = 9% (5²+5-20)
Question (2): Laplace Transformsa) Find the Laplace Transform of the following using the Laplace Transform table provided in the back:$$ f(t)=\frac{1}{4}\left(3 e^{-2 t}-8 e^{-4 t}+9 e^{-6 t}\right) u(t) $$b) Find the inverse Laplace Transform \(F(s)\) of the following function \(f(t)\) using the table:$$ f(t)=\frac{12 s^{2}(s+1)}{\left(8 s^{2}+5 s+800\right)(s+5)^{2}(10 s+8)} $$
3. Find the inverse Laplace transform of F(s)-
3. Find the inverse Laplace transform of F(s)-
1 a. Find the inverse Laplace transform of: F(s) = (s+a)(s+b)2 Using its residues. Let a and b are real constants.
1 a. Find the inverse Laplace transform of: F(s) = (s+a)(s+b)2 Using its residues. Let a and b are real constants.
Find the inverse Laplace transform of the form of the given function. A.) 3S g²-5-6 B.) Les-3 S²_4
Problem 5. Determine the inverse Laplace transform of Problem 6. Determine the inverse Laplace transform of 2s2 4s 10 9(s) = 2(s+1) Problem 7. Determine the inverse Laplace transform of 2s 10
2. (a) Find Laplace transform of tecosht s2 - 65+7 (b) Find inverse Laplace transform of (52 – 4s +5)
(1 point) Find the inverse Laplace transform f(t) = --!{F(s)} of the function 5 9 F(s) = + 52 S+9 S 5 f() = 2-1 { + 640] = s2 help (formulas)
Q3. Find the inverse Laplace transform of the following: a) 1 2 s+5)(s +4s +5)