Suppose that in a certain region of space the electric potential V is given by V (x, y, z) = 8x ^ 2-7xy + 7xyz Find the rate of change of the potential in (-1,1, -1) in the direction of the vector v = 7i + 10j-8k.

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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Suppose that in a certain region of space the electric potential V is given by V (x, y, z) = 8x ^ 2-7xy + 7xyz Find the rate of change of the potential in (-1,1, -1) in the direction of the vector v = 7i + 10j-8k.

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