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Unformatted text preview: Assignment 7 MATH262, Winter 2009 and the point P
1 1 1 on this surface.
A. Starting with the equation x 1 32t , ﬁnd equations for
y and z which combine with this equation to give parametric
equations for the normal line through P.
y
z
Note: Your answers should be expressions of t .
B. Find an equation for the tangent plane through P.
z
Note: Your answers should be expressions of x and y. ¥ £ £ £ 1.(1 pt) The function f x y
x4 y4 4xy 3x 2y 4
increases most rapidly at the point P 1 1 in the direction
i
j.
The rate of increase at P in this direction is
.
The rate of increase at P in the direction of the point Q 2 1
is
.
The equation of the tangent line to the level curve f x y
15
at the point P is
x1
y1
0. ¢¡¡ Hector Hernandez
due 4/8/09 at 11:59...
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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
 FABER

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