cise 4: Let a, b,c be positive real numbers such that a < b, find the Laplace transform of pllowing function if a

Q: Find inverse Z-transform 1+- X(z) = (1 - -)*

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Q: f(t) = SO if 0 c where c> 0.

A: We have to solve given problem:

Q: Find the Fourier Cosine Transform of the function -mx f(x) = (ae-m +be¯¹x}³_if_x>0 if a = 5, b = 4,…

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Q: 2s -18 -as a function of x. 2 s*+9 Find the inverse laplace transform of -

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Q: Find the Laplace Transform for the function e-Nt sin² (Nt)

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

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Q: Using definition, determine the Laplace Transform of the function represented by the graph shown…

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Q: e^3(t+2)/2. Find laplace transform of the function

A: Let's find Laplace transform of given function.

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: 6. a) Find the Fouriér Transform of f(x) = 1-x² (x) 1), b) Evaluate, - I Cosx-sinx cosdx

A: We have to solve the given problem using Fourier transform.

Q: 4. Determine the Fourier transform of the given function: 1 (t) = {2t - t, 2t - 1, 0 < t < 1 0<t<2…

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Q: the Fourier transform of a continuous time signal x(t) is X(ja), then, the Fou ansform of the signal…

A: Given, Fourier transform of a continuous-time signal                                   x(t)  ↔…

Q: Find the inverse Laplace transform C-{F(s)} of the function 8 F(s) (s – 5)³ NOTE: The answer shouid…

A: Given that, F(s)=8(s-5)3 The Inverse Laplace Transform of the function is determined as shown below.…

Q: Use Laplace Transform and Theorem Table

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Q: Laplace transform of 8(ta) is ea as True False

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Q: Determine the Fourier transform and plot the magnitude S1, It| < T/2 l0, otherwise (ii) x(t) = f(x)…

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Q: Find fourier cosine transform of for 0 1

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Q: Q6/ Find the Inverse Laplace Transform 4-L-1( s-3 )

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Q: Show how to do the Laplace transform of f(t) = t*cos(w*t) using the table of operational transforms.

A: Given  f(t) =t cos ω t

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: Find the inverse Laplace transform f(t)= C1 (F(s)) of the function F(s): 36)}-Oh f(t)=c-1 {-(; 6 +64…

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Q: Find L (t*ett)

A: You asked to find inverse Laplace transform.but your image is for Laplace transform.

Q: determine the inverse laplace transform of the function 1. 3/s+2 2. s+4/s^2+4

A: 1. Given,          3s+2

Q: Find the Inverse Laplace Transform of the following: 1. F(s) (s+5)6

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Q: X(z) = z² N N (2--/-)² (2-²) 3/

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Q: Find the inverse Laplace transform of the following functions: (a) F(s) = 38+6 %3D s2+3s' (b) F(s) =…

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Q: 1 Find L-1 (32+4s+4

A: Solution:

Q: make the ODE's inot variabke separable using a substitution. dy/dx=((1-2x-5y)^1/2 )/((2x+5y)^1/3

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Q: (a) Show that the Fourier transform of the function ga(x) := f(ax), where a > 0 is a constant, is…

A: the Fourier transform of f(ax) as a function of the Fourier transform of f(x) is known as change of…

Q: 6) "ii) F' ( F(3 te (t+5)² ) 3(W+2) j e 3+ (1+2) j

A: