Q5) Find the Fourier transform of: SCos(nt/t) for lel < x(t)=D .elsewhere) Sketch X(f) versus f.On the same graph ,sketch the amplitude spectrum of a unit amplitude rectangular pulse having a width of t .compare the two spectra and indicate which one has more power spectral density in the higher frequencies.

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A: Note :- You can cross check yourself to see that AB = 0.

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A: Given:  Set of all points on a line between and including two points.

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Q: OXEQ 1XEQ is not Riemman integrable

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Q: Obtain the solution using Integrating Factors Found by Inspection. 3.) 2x⁵y' = y(3x⁴ + y²)

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Q: Integrals Involving Roots Evaluate each of the following integrals. 1. -4

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any ...

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Q: Given two relations R1 {(a, 1), (b, 3), (c, 4), (d, 1), (d, 2)} dan R2 {(w, 2), (w, 4), (y, 1), (z, ...

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Q: Find two power series solutions of the given differential equation about the ordinary point x=0. y" ...

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Q: 5. Let A = {n E Z; n is odd} and B = {n E Z; 3n² +7 is even}. Prove that A = B.

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Q: 9 and 10

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Q: 4. Find the general solution to the differential equation y²y" = y/ (where y' = )

A: To find solution of the differential equation: y2y''=y' 

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Q: Find two power series solutions of the given differential equation about the ordinary point x = 0. y...

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Q: Let -2 М- -16 Find formulas for the entries of M", wheren is a positive integer. M" =

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Q: 2. Let the rref of a matrix A be, (1 0 2 0 -2) 0 1 -5 0 -3 00 0 1 6 Determine A if the first, second...

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Q: NAL 22

A: The Laplace transform of the function f(t) is represented as F(s) or L[f(t)], it is defined as ∫0∞e-...

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Q: Differentiate the two most common methods use for depreciation.

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Q: Q5: Solve the following differential equation, 1 dx sco e de ,x(T/2) = 3 %3D x2 csc 8

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Q: Let V = (-5, 00). For u, v E V and a € R define vector addition by u H v := uv+ 5(u + v) + 20 and sc...

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Q: 1 -) --() u2 1 2 Given are the vectors and Span{v1, v2} a) Determine if these vectors are in the lin...

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Q: when x = 3.57 using quadratic Approximate y Lagrange Interpolating polynomial up to 3rd degree. Use ...

A: Given table is xi yi 3.1 20.1810 3.2 22.5280 3.3 25.0470 3.4 27.7440 3.5 30.6250 3.6 ...

Q: For each of the following problems, determine if the sequence is increasing, decreasing, monotonic, ...

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Q: 3.57 using quadratic Approximate y Lagrange Interpolating polynomial up to 3rd degree. Use the previ...

A: Solution:-

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A: We make the comparison for the following pairs  A and BA and CA and DB and CB and DC and D A and B ...

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A: Given: System of differential equations, x'=yy'=-x with x(0), y(0)=3, -4

Q: 5. Find the extremum points of the function (the minimum and maximum points, the values of the funct...

A: Given:y=2x3-15x2+36x-14

Q: Oifin anormeds pace Xthe absolute series alawysimplies convergenceofthe series convergence of eveny ...

A: The given question related with Banach space. We have to solve two questions.           (a) We need ...

Q: 1. Show that the scalar multiple of a diagonal matrix is also a diagonal matrix.

A: Since multiple questions are asked we are answering the first question. 

Q: Find an equation for the graph sketched below -구 -5 -4 -3 -2 -1 -2 -6 f(x) =| Preview %3D

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Q: Let o : R → C be the map defined by p(x, y) = z, where z =x + iy. Let f: C -C be the function f(z) =...

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A: Given, A card is drawn from a deck of 52 cards. To find -1. Probability of getting red              ...

Q: Perform, 2 7 1 1 -9 6 7 8 0 3 -6 1 3 7 x| 2 8 4 5 4 0 7 5 9 6

A: Here given 3-427780-613596×1-96728450407

Q: [o Let A be a 3 x 3 diagonalizable matrix, P = 1 -1 Lo [2 0 P-1 =| 3 0 -2|,D = |0 0 lo o 1 1 -3 0 3 ...

A: If P-1AP=D, then it can be written that PDP-1=A.  It can also be written that: PDnP-1=An. For a diag...

Q: 1. Prove that for any n > 2, n E N, one has (1-)(--)(--) - (-) - n +1 2n

A: I have solved question no. 1 according to policy rule.   To solve q.1, I have used method of inducti...

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Q: diag(a1,..., an) be a diagonal matrix (i.e., the matrix with the numbers a1, ..., an on the main dia...

A: We have to find the Ak.

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Q: Use the sequential runoff method to determine the winner of the election if a majority winner cannot...

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Q: Find the inverse Laplace transform of 4s+2 F(s) = 12s+5 cos 2t – 4e-t sin 2t 4e-t cos 2t – e-t sin 2...

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Q: s+7 s2-3s-10

A: If the Laplace transformation of the function: y(t) is Y(s), then it can be written that Ly(t)=Y(s) ...

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Q: Question 14 Solve the problem. Find the equation for the tangent plane to the surface z = 8x2 - Sy2 ...

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Q: 10. F(t) = te-4cost %3D 11. F(t) = -6t'et %3D 12. F(t) = e' u(t – 4) %3D

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Q: Astronomer Edwin Hubble postulated a relationship between the distance between Earth and the velocit...

A: Distance (Mpc) Velocity (km/s) 51.8 4,590 12.2 1,234 271 17,695 46.2 3,752 58.2 5,118 46...

Q: Solve the initial value problem: (2x – 3y + 4)dx + (x – 1)dy = 0; y(-1) = 2. %3D

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