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7.9 (a) For the following surface z = f(x, y) = 3x² - 2y², (7.102) find all the directions at point (x = 0.5, y = 0.5) with slope equal to 1.0 or -1.0. (b) Plot the directional vectors on the filled color contour map. Since the unit vectors are too long to fit the figure, you can plot only 30% or 20% of the vector's length.

7.9 (a) For the following surface z = f(x, y) = 3x² - 2y², (7.102) find all the directions at point (x = 0.5, y = 0.5) with slope equal to 1.0 or -1.0. (b) Plot the directional vectors on the filled color contour map. Since the unit vectors are too long to fit the figure, you can plot only 30% or 20% of the vector's length.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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7.9 (a) For the following surface z = f(x, y) = 3x² - 2y², (7.102) find all the directions at point (x = 0.5, y = 0.5) with slope equal to 1.0 or -1.0. (b) Plot the directional vectors on the filled color contour map. Since the unit vectors are too long to fit the figure, you can plot only 30% or 20% of the vector's length.
Transcribed Image Text:7.9 (a) For the following surface z = f(x, y) = 3x² - 2y², (7.102) find all the directions at point (x = 0.5, y = 0.5) with slope equal to 1.0 or -1.0. (b) Plot the directional vectors on the filled color contour map. Since the unit vectors are too long to fit the figure, you can plot only 30% or 20% of the vector's length.
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