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
Chapter11: Topics From Analytic Geometry
Section11.1: Parabolas
Problem 36E
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3d3bd072-3466-4490-9652-952876604749%2F7ecad8a3-c527-4d36-9726-431a50394c94%2Fsluozukd_processed.jpeg&w=3840&q=75)
Transcribed Image Text: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.
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