10. A drop of water falls on the surface z³x+z¹y² + x²y³ = 79 at the point (3, 2, 1). Find a three-dimensional unit vector th the direction that the water will begin to flow, assuming that the water willflow in the steepest downhill direction.

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Answered: 10. A drop of water falls on the…

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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10. A drop of water falls on the surface z³x+z¹y² + x²y³ = 79 at the point (3, 2, 1). Find a three- dimensional unit vector th the direction that the water will begin to flow, assuming that the water will flow in the steepest downhill direction.