In this video we go over how to use Lagrange Multipliers to find the absolute maximum and absolute minimum of a function of three variables given a constraint curve. Specifically we find the maximum and minimum values of f(x,y,z) = 3x+6y+2z given 2x^2+4y^2+z^2=70. If you're neat and organized you'll be fine!
Some other things you might hear while you do these: constrained optimization, absolute max/min over a curve.
This is a very common topic to cover in a Calculus III/Multivariable calculus course. Good luck!
More Lagrange Multipliers: https://www.youtube.com/playlist?list=PL6iwkLfBjZizUSidtti4cS-ksMq6RJ_Bk
