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    Domain and Lagrange multipliers

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    1. State the largest possible domain for the definition of the function.
    f(x,y) = cube-root(y^2-x)

    2.The plane 2y+4z = 5 meets the cone z^2 = 4(x^2+y^2) in a curve. Use the method of Lagrange multipliers to find the point on this curve nearest to the origin.

    © BrainMass Inc. brainmass.com March 4, 2021, 7:59 pm ad1c9bdddf
    https://brainmass.com/math/basic-algebra/domain-and-lagrange-multipliers-136456

    Solution Summary

    This shows how to determine a domain and use Lagrange multipliers to find a point on a curve nearest the origin.

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