This preview shows page 1. Sign up to view the full content.
Unformatted text preview: PM. ¥ ¥ ¢¡ ¥ £
¤¢ ¡ ¥ £
¨¢ ¡ £ ¥ ¢ §¡
¦ £ ¥ £
©¢ ¦ ¥¢ ¦ 2.(1 pt) The function f x y z
x4 y3 y2 z2 z5 x2 4x
4y 3z increases most rapidly at the point P 1 1 1 in the direction
The rate of increase at P in this direction is
The rate of increase at P in the direction of the point Q 3 2 6
The equation of the tangent plane to the level surface f x y z
3.(1 pt) Suppose f x y
4 4 and v 2i j.
A. Find the gradient of f .
Note: Your answers should be expressions of x and y; e.g.
B. Find the gradient of f at the point P.
Note: Your answers should be numbers.
C. Find the directional derivative of f at P in the direction of
the displacement vector...
View Full Document
This note was uploaded on 11/09/2011 for the course MATH 262 taught by Professor Faber during the Spring '08 term at McGill.
- Spring '08