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Problem IV-19. You are at a point (a, b, c) on the surface (2 2 0). Assuming both a and b are positive, in what direction must you move (a) so that the rate of change of z will be zero? (b) so that the rate of increase of z will be greatest? (c) so that the rate of decrease of z will be greatest?

Problem IV-19. You are at a point (a, b, c) on the surface (2 2 0). Assuming both a and b are positive, in what direction must you move (a) so that the rate of change of z will be zero? (b) so that the rate of increase of z will be greatest? (c) so that the rate of decrease of z will be greatest?

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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Problem IV-19. You are at a point (a, b, c) on the surface 2 = (r -x - y')2 (22 0). Assuming both a and b are positive, in what direction must you move (a) so that the rate of change of z will be zero? (b) so that the rate of increase of z will be greatest? (c) so that the rate of decrease of z will be greatest?
Transcribed Image Text:Problem IV-19. You are at a point (a, b, c) on the surface 2 = (r -x - y')2 (22 0). Assuming both a and b are positive, in what direction must you move (a) so that the rate of change of z will be zero? (b) so that the rate of increase of z will be greatest? (c) so that the rate of decrease of z will be greatest?
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