A robot is on a mountain whose height is given h(y)= exp(-x² - y²) If the robot is in position (1/√2,1/√2), in what direction should it move to descend as quickly as possible?
A robot is on a mountain whose height is given h(y)= exp(-x² - y²) If the robot is in position (1/√2,1/√2), in what direction should it move to descend as quickly as possible?
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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Transcribed Image Text:A robot is on a mountain whose height is given hz.y) = exp(-x² - y²).
If the robot is in position (1/√2,1/√√2),
in what direction should it move to descend as quickly as possible?
A. (1/√2.1/√2)
B. (1,-1) C. (2,3) D. (3/√√3,-1/√√3)
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