Find the finite difference formula for the second derivative at point x=x; with points X₁, Xi+1, Xi+2, which are not equally spaced using Lagrange polynomials. What the second derivative at points X=X₁+1 and x=X₁+2 would be? Submit your hand calculations.

Q: = Prove that Z12 can be decomposed as the direct sum of its subgroups M N = {0,4,8). That is show…

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Q: Problem 6. (15 points) 1 0 1 -2 0 5 0 5 -10 0 The reduced row echelon form of the matrix A = 0 3 3 9…

A: I have solved the question. Please go through that.

Q: 6) State the maximum and minimum values if they exist. P = 5y + 3x [x+y≤6 x-y≤4 y≥0 x20

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Q: (c) Let I, J be ideals (two-sided) of a ring R. Prove that I + J = {a+b|a € I,b € J}

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Q: Solve the homogeneous system of linear equation.2x1 + 4x2 − 7x3 = 0 x1 − 3x2 + 9x3 = 0

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Q: lim x →∞ (1 + ¹)² e-x

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Q: 0 [10 -3 1 0 0 1 -1 1 00 0 1 -1 2 0 0 0 Find a basis for the row space of A, a basis for the column…

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Q: 5. Determine whether the set is a subspace. S = {(a, a -7,7-a+B) | a, b, ye R} CR³

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Q: = (F 1-2 f(z) = 3z² + 솔

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Q: Prove that, if a and b are nonnegative integers such that a =4 b, then 3ª =5 3b.

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Q: Question 1 Which of the following sentences (is) are NOT propositions? Note: There may be more than…

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