The integral X dx x² – 4 3

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A: Fourier series of the function

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Q: Use any method to determine whether the series converges. k2 (a) k3 + 6 Vk (b) k3 + 6 ?

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Q: 3. Let A : →P be given by I1 12 0, 2' 22 In A(T1,..., In, ...) = In,...) 2n a) Prove that A is…

A: Please find the answer in next step

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Q: 2 2 3 -4 find, Alel. -1 g? A= 3 -2

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

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A: Analytical description of f(t)

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Q: (vi) { ve'": rsi and @ 4 4 (VW) £ : 1리1 < 1or l 군- 41 <1 5

A: This is a problem of complex analysis.

Q: x = 0 x # 0 Let g(x) = {sin Find all values of h for which h satisfy the following conditions on I =…

A: We will use the basic knowledge of set theory and functions to answer this question completely and…

Q: 1 -1 (c) Let A : -1 1 1 and define LA : Rª → R³ by %3D -1 1 1 LA: 12 H A. Find the kernel of LA.…

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Q: Figure out the following limits, i they exist.(No L'Hopild Ioing Rale) in a) lim n- b) lim n² sin n-

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Q: Show that the integral equation TT g(x) = 1 (sin x sin 2t) g(t) dt has no eigenvalue

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Q: le', 121 2. f(t)=t cos81 +2 a+b hainh

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Q: 2х + бу 3D 16 Solve —3х — 9у %3D — 24 by Gauss-Jordan method а. (5, 1) b. (9t – 24, t) с. (16— 6t,…

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Q: By rewriting the summation of the power series E (n- 1)C,x" + E, 2nC,x"-1 +E C, xn+1 = 0, we obtain:…

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Q: (d) Let S = (Q, +, ·), the ring where + is addition of rational numbers and · is multiplicaiton of…

A: The given question is related with abstract algebra. We have to solve the following :…

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Q: Solve the system of differential equations - 5x + Oy y' = – 9x – 2y ly' x(0) = - 1, y(0) = 0 x(t) =…

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Q: (c) Use de Moivre's formula to write down a formula for all of the n-th roots of z = rexp(ie). In…

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Q: Sol vet he Vol terra integral equationof first kind g(t) g(x-t)dt = 16 sin 4.æ.

A: Solution:-

Q: Student Name : Compute the work done by the force along the curve (use defini- tion): F = [3r - y 12…

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Q: Differentiate the following using (a) forward difference method; (b) backward difference method; (c)…

A: We are given the following function.      f(x)=12 sinh(x) at x=1 Note: We will be taking the step…

Q: Consider the differential equation (E): 2x²y" – xy' – 2y = 0. Given that y, = x2 is a solution of…

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Q: 1. Below is given the FT-IR (Fourier Transform Infra Red) data of a 1:1 (by weight) mixture of…

A: The regression analysis is done to fit a dataset into an equation. It is provided that P=f(m). Here,…

Q: 6. Find the rank correlation for the following data: 56 42 72 36 63 47 55 49 38 42 68 60 y 147 125…

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Q: [B] Use the Newton-divided difference formula to find a polynomial of the form P„(x) = = ax4 + bx³ +…

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Q: Using the method of undetermined coefficients, a particular solution of the differential equation y"…

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Q: 1. Find the smallest distance from the point (0, c, 0) to the surface y = x² + z².

A: Consider the given surface, y=x2+z2 Distance of the point 0,c,0 to the surface will be,…

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A: We have to find (1) KerT and (2) ImT

Q: (i) X= “ABCDBCDC” and Y=” BCDCD” (ii) X= “POLYNOMIAL” and Y= “ EXPONENTIAL”

A: This is a problem of counting and finite math.

Q: [C] Use Newton-Raphson Method to perform thirteen iterations to the equation sin(x) + a? – e + 8 = 0…

A: Find the root of the given equation :-

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Q: If A = B C = E Find the value of L,0, V, E if AB= C. 4 [-1/3 4/9] -1/3 4/9 D. 1/3 -1/9 1/3 1/9

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Q: [-2 0° Solve 7.X +2.4 = B for Xwhen A= 3 -5 and B--10 1 10 -1 3 6 6 4 7. 1 7 16 A. X = 16 11 11 16 X…

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Q: Find the all the roots of f (2) = 522 – jllz – 2. For this question, whenever permitted by the…

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Q: 23-24. The test scores of 20 students are listed below. Find the 34th percentile (2 pts) 36 45 49 53…

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Q: [5 2 0 similar to B; if no, explain why not. Let B = Is the matrix B orthogonally diagonalizable? If…

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A: 5. Concept: Here we shall use the formula: N=N00.5t/h Here N is the remaining substance, N0 is the…

Q: 8. x³y" +x2 y" – 2x y' + 2 y = x³sinx %3D

A: Solution :-

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A: Solution:-

Q: Find the length of the spiral r=Θ for 0<=Θ<=3

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