(6) Consider the function f(x, y) = 9 − x^2 − y^2 restricted to
the domain x^2/9 + y^2 ≤ 1. This function has a single critical
point at (0, 0)
(a) Using an appropriate parameterization of the boundary of the
domain, find the critical points of f(x, y) restricted to the
boundary.
(b) Using the method of Lagrange Multipliers, find the critical
points of f(x, y) restricted to the boundary.
(c) Assuming that the critical points you found were...