This preview shows page 1. Sign up to view the full content.
Unformatted text preview: ( 1 2 , 1 4 ,f ( 1 2 , 1 4 )) on the hill. Also nd a unit vector that gives the direction of no change at that point. (c) Suppose youre walking over the hill along the path that is right above the path ( x ( t ) ,y ( t )) = ( t,t 2 ) in the xyplane. As you pass the point ( 1 2 , 1 4 ,f ( 1 2 , 1 4 )) , at what rate is your height changing? 7. Find the critical points of f ( x,y ) = 1 2 x 2 + 4 xy + y 3 + 8 y 2 + 3 x + 2, and classify each one as a maximum, minimum or saddle point....
View
Full
Document
This note was uploaded on 01/14/2012 for the course MATH 105 taught by Professor Malabikapramanik during the Fall '10 term at The University of British Columbia.
 Fall '10
 MalabikaPramanik
 Math, Calculus

Click to edit the document details