15. (a) (i) Find the Z-transforms of cos and 'n(n+1) no A (ii) Using convolution theorem, evaluation Z- z² [(z-a)²

Q: O [-5, -1) U (1,6] O (-5,6] O [-5, 6] O (-5, -1] U [1, 6] Find the domain of r(t) = (ln(t + 5),…

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Q: 235 óf the textbc (d) F{e* ,5iz-az²

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Q: Laplace transform a. L- (¹) 48 b. L-¹ { 1/2-) S5 C. 1 L-1 (2435) s²+3s. :-1 (432 +1} d. L-1

A: We have used standard formulae of Laplace transform.

Q: Evaluate the inverse Laplace transform s+8 ~²{; 4s + 29

A: The function is .To illustrate the inverse Laplace transform for .

Q: Consider the function f(x) = cos(2x) for -2pi < x ≤ 2pi and zero otherwise.A) Show that it meets…

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Q: 6. Given a Z transform 2-1 X (z) (1-z-¹) (11.4z¹+0.482-2)' determine the initial and final values of…

A: Given: Xz=z-11-z-11-1.4z-1+0.48z-2To find: a) xkk=0 and xkk=∞              b) Inverse Z-transform,…

Q: A1 The function f(x) is defined by f(x) = { 0 1-13|x| for |x| ≤ 2 for x > 2. Calculate the form of…

A: Step 1: Step 2:  Step 3:  from 2 we have  F[f]k = (1-cos2k)/k^2  Step 4:

Q: إكمال الأسئلة a z for the function : a x Find x sin ( y3 ) + x e3z - cos ( z? ) = 3 y - 6 z + 8 + X…

A: Partial derivative

Q: F (ƒ') - {¹(- Ji(- (-5w+4w2), (a) Find an expression for f (w) in terms of unit step functions u w…

A: Let us start solving the problem step by step  We must find the values of f(w) F(x) and g(x)

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: Consider the function f(x) = cos(2x) for -2pi < x ≤ 2pi and zero otherwise.A) Show that it meets…

A: A) Condition for Fourier Transform To have a Fourier transform, a function must be absolutely…

Q: S læ), if |æ| < 1, 0, otherwise. (b) F{f(x)}, where f(x) =

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