Just as sometimes is the case when finding ordinary (i.e., unconstrained) critical

Chapter 4, Problem 15

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Just as sometimes is the case when finding ordinary (i.e., unconstrained) critical points of functions, it can be difficult to solve a Lagrange multiplier problem because the system of equations that results may be prohibitively difficult to solve by hand. In Exercises 1519, use a computer algebra system to find the critical points of the given function f subject to the constraints indicated. (Note: You may find it helpful to provide numerical approximations in some cases.)f (x, y,z) = 3x y 4z, 3x + y 2x z = 1

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