{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

# nt7 - f x y = x 2-4 xy y 3 4 y Show your work 7-4 Use...

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

MATH 23 Homework 7 due March 19, 2010 Non-Text Problems: 7-1. Find the directional derivative of the function f ( x, y ) = sin(2 x - y ) at the point P ( - π 3 , π 6 ) , in the direction of the vector v = < π 3 , - π 6 > . Also find the direction in which f increases most rapidly at P and the maximum rate of increase. 7-2. Find equations for the tangent plane and the normal line to the surface xy + 2 yz - xz 2 + 10 = 0 at the point ( - 5 , 5 , 1) . 7-3. Find the local maximum and minimum values and saddle points of the function
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: f ( x, y ) = x 2-4 xy + y 3 + 4 y. Show your work. 7-4. Use Lagrange multipliers to ﬁnd the maximum and minimum values of the function f ( x, y ) = xy subject to the constraint 9 x 2 + y 2 = 4 . Show your work. Text Problems to turn in: Friday, March 19: 14.6: 6, 16, 21; 14.7: 6, 10, 11; 14.8: 3, 4; 15.1: 4a. Text assignments for the remainder of the semester (main and complete) will be available shortly....
View Full Document

{[ snackBarMessage ]}