Apply the translation theorem to find the inverse Laplace transform of the following function. 6s+9 F(s) = S²-8s +41 L-' {F(s)} = t Table of Laplace transforms f(t)=¹(F(s)} L{f(t)} = F(s) f(t)=¹(F(s)) L{f(t)} = F(s) (s> 0) cos kt (s>0) sin kt 2 TETE n! (s> 0) cosh kt (s> |k|) s²-4² г(а+1) (s> 0) sinh kt (s>a) tª 1 S 1 n+1 1 s-a s²+k² k S k s²-K² (please enter an expression + as the variable) using n! (s-a)+1 (s>0) (s > 0) (s> |kl) (s>a)

Q: L[2t2 + 5 – 3 cos nt), t > 0

A: We use the Linearity property and table of Laplace transform to find the answer of the given…

Q: Find the Fourier Transformation of II (t-) Select one: O l sinc(f) O ef sinc(2f) O jrf sinc(f) 3jef…

A:

Q: -2x jika x > 0 jika x <0 f(x) =

A:

Q: L. Let h (x) = f (x) g (x). Find a. h' (1), b. h' (3), and с. h' (4).

A: According to the given information,

Q: This answer is incorrect, could you please attempt it again?

A:

Q: f *g =g *f , where (*) is the convolution in Fourier transform. Select one: True False

A: Given: (*) is the convolution in fourier transform. To prove:  f*g=g*f. Proof: It is known that…

Q: Find the function f(x) that has Fourier transform (k) = (1+k4)-1.

A: Here we have to find out  .Now from definition of inverse fourier transform , to evaluate this…

Q: Find the Laplace transform F(s) = L{f(t)} of the function f(t) = 8th(t - 7), defined on the interval…

A:

Q: Find the Fourier Transforms of the indicated function: f (x) = xe-|x|

A:

Q: A function f(t) has Fourier transform, F(w) we. What are the Fourier transforms of: (a) f(t-3) (b)…

A: If F(ω) is the Fourier transform of f(t), then using the property of shifting, it can be written…

Q: f(x)= 2+ Show that fe L²(R) and find the L²-norm of the Fourier transform of

A: Answer given below.