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