Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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f(x, y) = 3eª cos y, (a, b) = (0,7), and v = (3, 3). a. Calculate the directional derivative of f at the point (a, b) in the direction defined by 7. b. Find the direction at (a, b) in which the rate of change of f is greatest. c. Find the maximum rate of change. d. Fill in the blank: f decreases the most at (a, b) in the direction of
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Transcribed Image Text:f(x, y) = 3eª cos y, (a, b) = (0,7), and v = (3, 3). a. Calculate the directional derivative of f at the point (a, b) in the direction defined by 7. b. Find the direction at (a, b) in which the rate of change of f is greatest. c. Find the maximum rate of change. d. Fill in the blank: f decreases the most at (a, b) in the direction of
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