The inverse Laplace transform of F(s) = f(t) Use step (t-c) for uc(t) = -98 e s2 + 18 - 2 is

Q: F-¹ ¹(1+jw) (2+jw)

A: L

Q: 3 Laplace Transform of (sin(2s))³

A: Given:

Q: Using the definition, determine the Laplace transform for f(t) = t .

A: I have used the definition of Laplace transformation and calculated the integration

Q: Let f(t) = e^t if 0=1   Write f(t) using step function and find the laplace transform. Also,…

A: We have to write f(t) using step function and find the laplace transform. Also, draw the graph.

Q: Q3: Find the following Fourier Transform using properties only: F{e=2t+6+j2(t=3)u(t – 3)}

A:

Q: Laplace transform of f(t) = e(4t-8)cos3(8t)

A:

Q: x) = {0 ² ². 0, Determine the Fourier transform of the function: f(x) 0<*? x<0

A:

Q: Find the transform of the function: g (t) = t3/2

A: The objective is to find Laplace Transformation of the function gt=t32

Q: 7) f(x)= xe-x 0 if -1<x<0 otherwise

A: Formula for the Fourier Transform of fx is  Fw=∫-∞∞fxeiwxdx  We are given fx=xe-xif…

Q: Find the inverse Laplace transform of the following functions: a) F(s) = (s+a)(s+b)

A: Given function: We have to find the inverse Laplace transform of the given function.

Q: (Exercise 23 on page 225) Find the inverse Laplace transform of the function using the Heaviside…

A:

Q: Kind the haplace transform of f(t)=78(t-½)Cost.

A:

Q: B. Find the inverse Z-transform of X(z) Z-1

A:

Q: Find sine transform of e-[165]t/t

A: The Fourier sine transform is defined as                                  Fsfx = Fss = ∫0∞fx sinsx…

Q: 2 f(x) = (ae-4x + be-3x + ce-2x)ʻ if x>0

A:

Q: F(s) = 1 (s + 1)²(s² + 4)

A:

Q: f(x) = 0 if -1<x otherwi

A: Formula for the Fourier Transform of fx is  Fw=∫-∞∞fxeiwxdx We are given fx=|x|if…

Q: (b) What is the Fourier Transform of x?8(x² – a²)?

A: The given problem is to find the Fourier transform of the given function, in the given function…

Q: s+2 Find the inverse transform: F(s) s2-6s+8 А. Зе 4t — 2е2t C. e4t – 3e2t В. 2е4t — Зе2t D. e4t +…

A:

Q: Use formulas from this course to find the inverse Laplace transform (a) L-1{+1) 2s+1 1 252+8 (b)…

A: Solution:

Q: F(@) = ? -1 f(t) 1

A:

Q: 3s-2 2s2-4s+2

A: The given function is                                             3s-22s2-4s+2

Q: .2 (s² + 6s + 7 L-1 s² + 3s + 2

A:

Q: How does one find the inverse Laplace transform for the arccot(1/s)?

A: Let,