EXERCISES
Purpose |
Background
(with Examples) |
Exercises
Consider the function
f(x,y) :=
(0.782x2 - 2y2
+ 4.621x3) /
(x2 + y2 + 1)
and the corresponding surface z = f(x,y) .
- Please find and classify all critical points of f.
Give each critical point as a point in 3-space (R3).
- Please find the absolute extrema of f
on the triangular region bounded by x = -1, y = -1,
and y = 1 - x.
Find the location of each absolute extremum
and the corresponding function values.
Purpose |
Background
(with Examples) |
Exercises
Written by:
JDF
(E-Mail: bach@wpi.edu)
Last Updated: Monday, 27 September 2004
Copyright 2004, Joseph D. Fehribach