Using the results on determining the sign of quadratic forms, find the six stationary points of the following function: f(x1, x2, x3) = x - 3x1 - x² - 2x2-3x² + 3x2x² -8. Classify the stationary points for which x3 = 0,

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A: I have appended the formula used in the solution procedure

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Q: (a) Show that u has a stationary point at (-2, 1), and determine the nature of this point. (b) The…

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Q: A3. Consider the function of two variables u(x, y) = xy² — x¹ — —⁄7y³. du (a) Compute and ди ду (b)…

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Q: Q(x₁, x2, x3) = x² + x² + x² + 4x₁x2 − 2x13 subject to x1+x2+x3 = 0 and -x₁+x2+x3 = 0, Q(x, y, z) =…

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Q: Solve the following homogeneous (a) y" + 6y' + 8y = 0, (b) y" - 2y + 2y = 0, (c) y" - 2y + y = 0,…

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Q: A6. Evaluate the following integrals: 2v1 + da, (i) (1) L² dx x² + 3x + 2' (iii) S sin (20) 1+ cos²0…

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