Chapter 8, Problem 10CRQ

To determine

To fill: “The method of Lagrange multipliers solves the problem of finding the relative extrema of a function $f\left(x,y\right)$ subject to the constraint _______. We first form the Lagrangian function $F\left(x,y,\lambda \right)=\_\_\_\_\_\_$. Then we solve the system consisting of the three equations ________,_______, and ______ for x, y, and λ. These solutions give the critical points that give rise to the relative ________ of f.”.