Jump to level 1 Find the QR factorization of A = R = Ex: 1.23 0 -1 -4 -2 0 1 0 4 0 given Q = 0 -0.24 -0.97 -0.99 -0.12 -0.12 0.96 0.03 -0.24 2

Q: Find the local minimizers of: (a) f(x, y, z) = x² + 3y² + z subject to x² + y² + z² = 16.

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Q: (ii) Let V be a vector space over a field F and f: V → V be an idempotent linear operator. Show that…

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Q: Compute the average value of f(x, y, z) = x² + y² + 2² over the region W bounded by the planes 2y +…

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Q: solve the following polynomial equation 2X to the power of 3+ 1 = X squared +2X 

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Q: QUESTION 3 A company issued 50 bonds of P1,000 face value each, redeemable at par at the ends of 15…

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Q: Maximize subject to the constraints 13x1 x1 P = 10x₁ + 11x₂ + x3 x2 + 10x2 x1 ≥ 0 + 15x3 ≤ 70 7x3 44…

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Q: Find the length of the curve y = 3 (x² + 2) ² 3 from x = 0 to x = 5.

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Q: Let A = {a₁,a2,a3} and B = {b₁,b2,b3} be bases for a vector space V, and suppose a₁ = 4b₁ b₂, a₂ = −…

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Q: Consider the polynomials p₁ (t) = 2 + 7t, p₂ (t) = 2 - 7t, and p3 (t) = 4 (for all t). By…

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Q: Question 3 Using course notes, solve the congruence x³-7x+6=0(mod3².7²)

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Q: y" + y = cott

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Q: 3. Use the Laplace transform to solve the differential equation y' + 2y + 2y = sin(at), y(0) = 0,…

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Q: Write v as the sum of two vectors, one in Span {u₁} and one in Span {U₂, U3,44}. Assume that…

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Q: Integrate f(x, y) = x over the region bounded by y = x² and y = x + 2.

A: If R be the region boumded by the curves y=f(x) ,y=g(x) ,x=a ,x=b such that f(x)g(x) on [a,b] , then…

Q: d . Find for the following integral by using Leibniz rule. (3 marks) dx √ ² (x (x - t) ³u(t)dt

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