Show that in algebra Lie sl(2, C)' = sl(2, C).

Q: Let Q(x) = 143x² – 34x2 – 34x² – 36x1x2 – 36x1x3 — 72x2x3. Find a unit vector x in R3 whose first…

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Q: f(x) = 1 on [1,00)

A: Let I be an interval and a function  is said the be uniformly continuous on I if corresponding to…

Q: Problem #1: Let Problem #1: Q(x) = 35x2 - 7x2-7x3 + 18x₁x2 + 18x1x3 - 18x2x3. Find a unit vector x…

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Q: Generate the expression describing the temperature behavior for X=6, by Lagrange polynomial. I have…

A: Given Information:Temperature at are provided as the data.To find:The behavior of the temperature…

Q: Let A = [3 -3 0 14 20 1 We want to determine if the columns of A span R². To check this we add times…

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Q: Factor f(x)=x^4+4x^3-x^2-20x-20, given that -2 is a zero and solve x^4+4x^3-x^2-20x-20=0

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Q: Use Definition 7.1.1, DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t≥ 0. Then…

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Q: Explain why the matrix is not diagonalizable. 300 1 3 0 003 A = A is not diagonalizable because it…

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Q: D. What is the average rate at which the rocks at Point A have moved away from the spreading axis…

A: D) Solution:According to the given figure,the thickness of the oceanic floor is aroung 4000 km and…

Q: In how many ways can we seat 6 boys and 3 girls on a row of seats so that no two girls sit next to…

A: If no two girls can sit together, then we need to alternate boy and girl. We can start with a boy…

Q: Find T(x) for the given function at the number a. P(x) = ³x a=0 n=3 0≤x≤ 0.2 T3(x) = 1 + 4x + 8x² +…

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Q: f(x, y) = 4 - y - 2x² g(x, y) =8-y² - 4x

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Q: Hello there, can you help me solve the problem? Write clearly and thank you! Problem: If uT = [-2,…

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Q: 2. Prove that the union of two disjoint sets, where one is countably infinite and the other is…

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Q: Let Q(x) = 15x² − 2x² – 2x² + 12x1x2 + 12x1x3 – 8x2x3. Find a unit vector x in R³ whose first entry…

A: The unit vector that minimizes the quadratic form subject to is the eigenvector corresponding to…

Q: Consider the following function. f(x) = sinh(3x), a = 0, 1 = 5, -0.5 ≤ x ≤ 0.5 (a) Approximate f by…

A: The given problem is to find the taylor polynomial and accuracy of taylor polynomial of the given…

Q: Find the eigenvalues and eigenvectors of the matrix 2 -9 -3 From smallest to largest, the…

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Q: the section D of this question wasnt solved

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Q: 4 Problem #2: Find the maximum value of Q(x) = x + 7x2 + 6x1x2 subject to the constraint x2 + x2 =…

A: Let Q(X)=XTAX be a Quadratic form with symmetric matrix A  . Then the maximum eigenvalue of A is the…

Q: For the relations: A x B, such that: A = {37, 38, ..., 42} and B = {42, 43, ..., 47} Count how many…

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Q: Consider the Boundary-Initial Value problem 8² u du 0 0 მx2 Ət u(0, t) = 0, u(8,t) = 0, t>0 u(x, 0)…

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Q: For a given week, Debra's Coffee House has available 1728 ounces of A grade coffee and 1760 ounces…

A: We will solve this problem using the graphical method.First, we will construct a linear programming…

Q: Find the second-degree Taylor polynomial for ƒ(x) = 2x² - 7x + 5 about x = 0. P₂(x) = What do you…

A: The given function is .We need to find its second-degree Taylor polynomial about .We know that the…

Q: Use a numerical solver and Euler's method to obtain a four-decimal approximation of the indicated…

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Q: K Prorate the following expenses and find the corresponding monthly expense. Lan pays a semiannual…

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Q: Consider the preference table shown below. Using the plurality method without elimination, Adams…

A: Let's reanalyze the situation based on the updated information.In the original election, Adams…

Q: sin ax - sin bx X a-b for each a,b,x € (0,00)

A: (The Mean Value Theorem): If f is a continuous function on the closed interval [a,b] and…

Q: Problem #4: Let Problem #4: A = 10 2 -2 -2 7 -5 8 -9 -2 3 -3 -9 -2 2 7 15 7 -4 Enter the singular…

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Q: Compute the value of f f(xy + y2) dA where R is the region in the ry-plane enclosed by y = x and…

A: Here we use limit in the order dydx, hence

Q: Let W be the set of all vectors of the form ū = H V = [-5s- 2t] 5s + 3t 5s + t . Find vectors ū and…

A: Let S={u,v} be a linear independent set and generate W . Then W=span{u,v} .

Q: Complete the following table. Based on your answers, which table entry is closest to log8? Round…

A: From the given table, it is observed that need to find the value of  at the given values of .Now…

Q: Problem 6. I Let D2n = {e,r,r², ... n-1 -¹, s, sr, sr²,...,srn-1} be the dihedral group. Prove that…

A: Note we use the definition of normal subgroup to solve this problem.

Q: A = 0 1 00 0020 00 03 000 0 = (3) Consider the following linear system: Ax b, where A is given by…

A: The given matrix is  and .We need to find the least square solution of the system  with minimal…

Q: Suppose that A is a rectangular matrix such that 4 -1 -1 4 -1 -1 = -1 Enter the singular values of A…

A: A singular value of a real matrix A is the positive square root of eigen value of the symmetric…

Q: 2. Solve the integro-differential equation for f(t) t –2f(t) = 2 | sinh(w)f(t – w)dw + 1 2 f'sir

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Q: What is the implication of the (sometimes extreme) redshifts of nearly all galaxies observed in the…

A: The redshift of galaxies in the night sky is a key observational phenomenon that provides evidence…

Q: Let F = (yey, xey) and let C be given by: x = sin(t), y et-¹ (1- = cos(πt)), 0≤ t ≤ 1. Show that is…

A: On xy-plane a function  is conservative if

Q: eigenvalues

A: This is in the form

Q: -5 < 16 When isolating the x variable, since the constant -3 is negative, does this mean you…

A: An inequality  means .For a negative operation on both sides of the inequality the sign reverses.For…

Q: Letandbe vectors in R". น V (a) What is the definition of the (standard) inner product →. →in terms…

A: Let and  be vectors in ..

Q: We say that a set A is numerically equivalent to a set B if there exists a bijective function f : A…

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Q: Consider the nonhomogeneous linear system of differential equations x₁= x2 + 6t - 3 x₂ = x1 + 2x2 +…

A: As x1 and x2 are solutions of given system,  they must satisfies given system of ban homogeneous…

Q: We say that a set A is denumerable if there exists a bijective function f : N→ A. Suppose that A and…

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Q: 17. Find the general solution of the system = 4 x

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Q: Ja. Is fex=² uniformly continous on IR? bj Is fix)=x² uniformly continous on [-1,1]? Justify Justify…

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Q: Y=0 Y=2 Y=4 Y=6 Y=8 X=0 100 85 7055140 X=2 90 64.49 48.9 38.78 35 X=4 80 53.5 38.43 30.39 30 X=6 70…

A: The table shows the temperature corresponding to x = 6 for the variable y:…

Q: Find the center of mass of a thin plate of covering the region between the x-axis and the curve y =…

A: Here we have to find the x component of the centre of mass.

Q: Solve for x, correct to 3 decimal places. Check for extraneous roots. 52x = 2(5)* + 1

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Q: Let u (x,y) = e ² cosy + x² - y² 2 u is harmonic Find all v (xay) such that u(xsy)tiv (xsy) is…

A: Given that  and  is harmonic.The aim is to find the function  such that is analytic on .

Q: et V be a vector space over F, and let U and W be subspaces of V. The sum of U and W, enoted by U +…

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