Please do the question on your own and ignore the option i select. Thank you. (even it might be correct) Suppose we wish to use the Method of Lagrange Multipliers to minimize a differentiable function f(x,y) subject to the constraint g(x, y) = 0 which is aclosed curve with g E C'. Suppose as well that Vg(a,b) # 0 at all points along the curve g(x, y) = 0. If the global minimum value occurs at (a, b), thenwhich of the following statements are true? Select all true statements.O f.(a, b) = f,(a, b) = 0.At (a, b), Vg(a, b) is parallel to the levelcurve of f passing through (a, b).O Vf(a, b) = XVg(a, b) for some X E R.O None of the above

The thied option from upper side ( tick from your side) is true about lagrangian multipliers.

Suppose we wish to use the Method of Lagrange Multipliers to minimize a differentiable function f(x,y) subject to the constraint g(x, y) = 0 which is a closed curve with g E C1. Suppose as well that Vg(a, b) + 0 at all points along the curve g(x, y) = 0. If the global minimum value occurs at (a, b), then which of the following statements are true? Select all true statements. O f. (a, b) = fy(a, b) = 0. At (a, b), Vg(a, b) is parallel to the level curve of f passing through (a, b). O Vf(a, b) = XVg(a, b) for some ) e R. O None of the above

Suppose we wish to use the Method of Lagrange Multipliers to minimize a differentiable function f(x,y) subject to the constraint g(x, y) = 0 which is a closed curve with g E C1. Suppose as well that Vg(a, b) + 0 at all points along the curve g(x, y) = 0. If the global minimum value occurs at (a, b), then which of the following statements are true? Select all true statements. O f. (a, b) = fy(a, b) = 0. At (a, b), Vg(a, b) is parallel to the level curve of f passing through (a, b). O Vf(a, b) = XVg(a, b) for some ) e R. O None of the above

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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