Assignment:
Q1. State the largest possible domain for the definition of the function.
f(x,y) = cube-root(y^2-x)
Q2. 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.
Provide complete and step by step solution for the question and show calculations and use formulas.