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.
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.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 27E
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