Find the Fourier Transformation of II (t-) Select one: O l sinc(f) O ef sinc(2f) O jrf sinc(f) 3jef sinc(f)

Q: Consider the curve C of equation 4.xy x² + y? x² + y² From the choices given, select the one that…

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Q: Let D ⊂R^2 be a disk containing the origin and assume that g : D → R is a function given by g(x,y) =…

A: This is a problem of multi-variable calculus.

Q: to show that the given statement is true for all natural numbers n. 2. 1 + 5 + 9 + + (4n – 3) = n(2n…

A: (2) Let P(n) be the given statement i.e.,  P(n): 1 + 5 + 9 + … + (4n – 3) = n(2n – 1), for all…

Q: 7) Use binomial theorem to expand (2x-1)^6

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Q: Verify that y = e-2# is a solution of the differential equation y" + y' – 2y = 0.

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Q: (a) A subspace Y of a Hilbert space H is closed if and only if Y = Y.

A: To Prove- A subspace Y of a Hilbert space H is closed if and only if Y⊥⊥ = Y.

Q: y" – 4y' + 4y = (12x² – 6x)e2*

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Q: Let y = 3Ja. Find the change in y, Ay when x = 3 and Ar 0.2 %3D Find the differential dy when x = 3…

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Q: 2 Let L be the line in R³ that consists of all scalar multiples of the vector . Find the orthogonal…

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Q: 7. Solve the recurrence relation an 4an-2 for n > 2, given that ao 3 and a1 = = -2.

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Q: dx dy 1 (a)

A: This is a problem of partial differentiation and Implicit function theorem.

Q: Find the solution using LU Decomposition: w + 2x − y + z = 6 −w + x + 2y − z = 3 2w − x + 2y + 2z =…

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Q: Compute the volume of the solidbounded by the paraboloid z =x+y and the upper hemi sphere 6 -x² -…

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Q: If z be a differentiable function of x and y and if x = c c cosh u cos v, y = csinh u sin v, then 1…

A: Given that z is a differentiable function of x and y and  x=ccosh u cos vy=csinh u sin v We will…

Q: L {lostt sin ţ t}

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Q: Find the roots using the Bisection Method with an initial guess of -4.5 and -1.0 as a starting…

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Q: 3. De rmine the general solution of the differential equation y/ + 2y" + 2y" + 2y' + y = e=t + t.

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Q: Suppose that F(x,y,z) = 0 defines z as a function of a and and Fis differentiable. Prove that dx dy…

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Q: Calculate the circulation of the field F around the closed curve C. Circulation means line integral…

A: Please check your options.

Q: luate the integral by making an appropriate change of variables. /| 3(x + y) cos (x? - y²) dA, where…

A: Introduction: The formula for the double integration is given by,…

Q: Let y = sin(4x). If Ax 0.4 at z 0, use linear approximation to estimate Ay Ay 2 - Find the…

A: Solution :-

Q: Chain rule and Suppose that F(x, y, z) = 0 defines z as a function of r and y and F is…

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Q: Consider the following integral equation. f(t) = 5t – 25 sin(t) f(t – t) dt Take the Laplace…

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Q: Use the method of undetermined coefficients to solve the given nonhomogeneous system. dx 2x + Зу - 8…

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Q: Factorise x6 + 1 as a product of three quadratic polynomials with real coefficients.

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Q: .What following U x(x- 11

A: In this question, the singular points of the differential equation are applied. Singular points in…

Q: Determine whether F = (e**y sin y, xe*ny cos y) is conservative and find a potential function if…

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Q: Find the work done by F over the curve in the direction of increasing t. Work means line integral F…

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Q: Define the spectral radius of a bounded linear operator acting on a normed space. Let X = R3 and A e…

A: As per the question we are given a bounded linear operator in form of a square matrix A And we have…

Q: Use Theorem 7.4.2 to evaluate the given Laplace transform. Do not evaluate the convolution integral…

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Q: 8. Let G = U = {z e C| |z| = 1} be the circle group. Then X = C, the set of complex numbers, is a…

A: Given: G=U=z∈ℂ|z=1 is the circle group. X=ℂ, the set of complex numbers, is a G-set with group…

Q: 0 27. [37] (a) Solve y"(t)+9y(t) = f(t), y(0) = 0, y'(0) = = -1, where f(t) · 9t Express the answer…

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Q: Evaluate the definite integral. Son f (x) dæ, ƒ (x) =6e" /(4+e*)

A: It is known that: ddxekx=kekx∫ekxdx=1kekx+C

Q: valuate the region S: { S € C 4≤|z|≤8:π/4 ≤ arg(z) ≤ 7π/4} under the mapping f(z)= 3iz^1/2 +1+i

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Q: ezoid with the largest area that can be ibed in the circle of radius 3 as shown e following figure:…

A: In this question, the concept of Lagrange Multipliers is applied. Lagrange Multipliers The Lagrange…

Q: A set of data has a normal distribution with a mean of 100 and a standard deviation of 15. Find the…

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Q: 6y 8 (2). Consider the following statements about the surface of the equation z = y² In(x) - r +1…

A: For the solution of the problem follow the next steps.

Q: Consider the equation of the surface S given by -2x" - yPz° + xy = -4, where a is an odd number and…

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Q: Consider the set U2 : a, b, d e R} of 2 x 2 upper triangular matrices with real number entries.…

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Q: 2.x = 3 (mod 11) тod 10x = 7 (mod 13) тod

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Q: 1. Firm 1 and Firm 2 are two producers of widgets. Each firm produces its own widget type at a…

A: p1=200-2q1-q2      c1=15 p2=200-q1-2q2      c2=30

Q: Prove that the randomized Hadamard transformations are orthogonal transformations. Assume that the…

A: Given that Handmard  transformations Therefore, we assume that H2N=HnHnHn-Hn with H1=1 Therefore,…

Q: 5. Just describe the region bounded by y = 0, y = 4vx, y = 24 – 2x, y = x – 4 using horizontal and…

A: Given curve are y=0, y=4x, y=24−2x and y=x−4. We have describe the region bounded by y=0, y=4x,…

Q: alculate the mass of the plane part  x+y+z= 1 in the first eight of the system, with a density of…

A: To calculate the mass of the plant part x+y+z=0 in the first octant with a density of ρ=11+x+y2.

Q: Express (-2/3 + j2)

A: This is a problem of complex analysis.

Q: 14 (1). If f (x, y) = -x³ + y* - 3xy + 9x? + y, then in the process of obtaining its critical points…

A: Given that fx,y=−x3+y4−3xy+9x2+y

Q: divisors

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Q: 1. Find the volume of the region between the graph of the function f(x, y) = 1 - (x² + y') and the…

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Q: Solve the following differential equations of -2y– 3 = y* .e"; dx 3dy - y* .e";

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Q: find the area of the region enclosed by the curves y = sinx, y = cosx, x = 0, and x = 2π

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