25. а. Apply Fourier transform to solve: ди for 0 < x, t 20 Under the conditions,

Q: 3. a) Describe the transformations on y = 3* to sketch y=-2(3)+1

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Q: Examine the discrete time Fourier transform of sin) 5nn, .cos( 2 x[n]

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Q: (a) F{e-al a > 0.

A: Consider the following

Q: 7. What is the value of (X-2)2 for the scores 2,3,5?

A: To find : ∑X-22 for the scores 2, 3, 5

Q: (c) F{-h(x+ 1) + 2h(x) – h(x – 1)}, where h(x) is the unit step function defined on page 235 of the…

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Q: Deternine the type of linearly independent solutions of the ODE x2y" - 2xy' +3y = 0 %3D

A: We have to find general solution of given differential equation.

Q: 7. Using Lyapunov functions, show that the origin is unstable for the ODE i = -x3 ÿ = -y3

A: The solution is given below

Q: If the percent decrease is 25%, what is the common ratio?

A: Common Ratio The common ratio is defined as the amount between each number in a geometric sequence.…

Q: B A C B = 4 A=3 C = 1 E = 2 D = 4 E Fourier Series : D 1. Write down the function for this graph 2.…

A: From the figure  Line segment joining (0,4) to (2,1) At x=2 jump discontinuity Line segment joining…

Q: Find the complex fourier Intergral Representationn of 0, x 0

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Q: 1. Let F : L² (R¹) → L²(R¹) be the Fourier transform. That is: 1 F(f) = = √e-i(+1) e-i(x,x) f(x) dx.…

A: Problem is solved using concept of Fourier Transform.

Q: 8.(a) Find the Fourier transform for the function cos x, -n/2 7/2 f(x) = 0, (b) Use the result in…

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Q: If (p) is the Fourier Sine transform of f(x) for p>0, then prove tha Af(x}} = - (- p) for p<0.

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Q: t も c6 10. XCt)> { -8 + -8 t ct-6)? » t >6

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

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Q: Prdlem 6.36 Pert B)

A: It is double Integral

Q: Solve equation using Laplace transform ÿ +9y = 6 (t -) sin(t), y(0) = 0, y(0) = 0 %3D

A: Given the given equation is y"+9y=δt-π6sint,     y0=0,  y'0=0 Use the property of delta function.…

Q: ii) using the Fourier Transforms, Calculate dx. Jo (4x*)(9+x*)'

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Q: 37nx Find C2{sin (*} (Finite Cosine transform) O A. 6L O B. 4L - 5TT OC. 2L - 5T O D. O E. None

A: Find C2sin3πxL

Q: solve with fourier serires

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Q: Find the Exponential Fourier coefficient Cn for signal f(x) = x Defined on interval [-1 ,1]

A: Complex form of Fourier series is defined as follows: fx=∑n=-∞∞cne-inx2πL where,…

Q: Approximate f' (2) using the given data f(0) = -8, f(1) = -7, f(2) = 0, and f(3) = 19 and the…

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Q: 2) x = -3X,+ X2 ~12t X = - 4x+ 2X, + (2t X6)=o,メ2(o) =6 Xz(0) =6 こ0)

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Q: Q2/ from definition of Fourier transform, show that rect (t-5) is sinc (w/2)e-/2w

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Q: успЈ where /_g[n_1] + n[n] 2 x[n] = (!) u[n]

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Q: Let f(x) = (x2 + 1), n<x <a be a periodic function, then the Fourier coefficient az = Answer:

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Q: 1. Deduce the continuous function whose Laplace Transform is 10 F(p) P (p² + 9) 2.Find Р2—ЗР+10 (i)…

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Q: By integration find the Fourier transform of Ax)=2r+1 _if þx|<1_and fx)=0 otherwise.

A: According to our company policy, I am supposed to answer only one question at a time. For the rest…

Q: 4. Let (1, X (jw) = 10, 0 < x ≤1 otherwise Find x(t) using the inverse continuous-time Fourier…

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Q: Find all residues of the function z (2-2) not including the residue at infinity. "

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Q: x(n) = [-2, -1, 0, 1, 2], where x(n) is periodic with period N = 5

A: is periodic with .

Q: Use (8), • S* f(1) dt = £^¹{F(5)}, to evaluate the given inverse transform. (Write your answer as a…

A: we know that laplace transform of e^(at) is (1/(s-a)).

Q: skla 8. What is the value of Fourier discrete function & [k] at k = 1?

A: To determine: The value of the Fourier discrete function δk at k=1.

Q: Find the Fourier transform of sinc (2t). (a) 2n A(w/2) 3. (b) п Д(u/4) A(w/8 (d) A(w/16) Moving to…

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Q: fx, þx| a' Find the Fourier transform ofƒ (x) = %3D

A: