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3. Consider the function f(x, y) = −4+ 6x² + 3y² and point P(-1,-2). On the grid, label P and graph the level curve through P. Indicate the directions of maximum increase, maximum decrease, and no change for f at P.

3. Consider the function f(x, y) = −4+ 6x² + 3y² and point P(-1,-2). On the grid, label P and graph the level curve through P. Indicate the directions of maximum increase, maximum decrease, and no change for f at P.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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3. Consider the function f(x, y) = -4+6x² + 3y² and point P(-1,-2). On the grid, label P and graph the level curve through P. Indicate the directions of maximum increase, maximum decrease, and no change for f at P. -2 -1 2 0 -1- -2 2 x
Transcribed Image Text:3. Consider the function f(x, y) = -4+6x² + 3y² and point P(-1,-2). On the grid, label P and graph the level curve through P. Indicate the directions of maximum increase, maximum decrease, and no change for f at P. -2 -1 2 0 -1- -2 2 x
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