Use Lagrange multipliers to find the maximum and minimum values of the function f(x, y, z) = 8x–4z subject to the constraint x^2 + 10 y^2 + z^2 = 5.

Find the maximum and minimum values of the function f(x, y, z) = x²y²² subject to the constraint x² + y² +2²= 81. Maximum value is 27 occuring at (9, 9, 9) points (positive integer or "infinitely many"). points (positive integer or "infinitely Minimum value is -27 many"). occuring at (-9, -9, -9)