tut7 - -1 , 1 , 2) to the plane 2 x-3 y + 6 z = 14. 4: Use...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
Math 237 Tutorial 7 Problems 1: Let f ( x, y ) = x 3 - 2 y 2 - 2 y 4 + 3 x 2 y . Find and classify the critical points of f . 2: Let f ( x, y ) = xy 2 + x 2 y - 4 xy . a) Find and classify the critical points of f . b) Find the extreme values of f on the triangle with vertices (0 , 0), (0 , 3), (3 , 0). 3: Use Lagrange Multipliers to find the shortest distance from (
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: -1 , 1 , 2) to the plane 2 x-3 y + 6 z = 14. 4: Use Lagrange Multipliers to prove that if x 2 1 + x 2 2 + x 2 3 = 1 then x 2 1 x 2 2 x 2 3 1 3 3 ....
View Full Document

This note was uploaded on 01/27/2011 for the course MATH 237 taught by Professor Wolczuk during the Fall '08 term at Waterloo.

Ask a homework question - tutors are online