Domain and lagrange multipliers

Reference no: EM13120935

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.

Reference no: EM13120935

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