Please provide all working. Find the stationary points and the values of the Lagrange multipliers for thefollowing problem.Min f(x,x,)= 4x,x, + 7x,*3 +9x,X3 subject to x,x,x; = 2016Max f(x,,x,,x3) = 3x²x,x, subject to x, +X, +X3 = 32(i)(ii)

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Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter8: Introduction To Functions

Section8.8: Linear And Quadratic Functions

Problem 4ST

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(a) Write the linear interpolation/ shape functions relevant for the 2D rectangular element shown below identifying the shape function for each node. Use the property that N,(x,)= 5, to derive the functions. For example, at node 1, N = 1, so using the equations of line 23 and line 34, we (x-a)(y-b) may write N = Sımilarly, interpolation function N2 should involve equations of %3D 4ab lines 34 and 14, and so on
1. Is L = {1 − 2x + 3x^2, x − 2x^2, 2 − 5x + 8x^2} linearly independent? If yes, show why. If not, show a dependence relationship. Is L = {1 + 2x + 2x^2, x − 2x^2, −2 − 3x − 5x^2} linearly independent? If yes, show why. If not, show a dependence relationship.
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Determine the x-intercepts of the following equation. (-a +5)(-a - 2) = y O (5,0) and (-2,0) O (-10,0) Submit Answer O (0, 10) O (5,0) and (2, 0) O (0, -10) O (0, 5) and (0, -2) Privacy Policy Terms of Service Copyright 2021 DeltaMath.com. All Rights Reserved

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Find the stationary points and the values of the Lagrange multipliers for the following problem. (i) Min f(x₁,x₂) = 4x₁x₂ + 7x₁x3 + 9x₂x3 subject to x₁x₂x3 = 2016