The electrical potential (voltage) in a certain region of space is given by the function V(x, y, z) = 5x² –- 3xy + xyz. a. Find the rate of change of the voltage at point (3,4,5) in the direction of the vector (1,1,–1). b. In which direction does the voltage change most rapidly at point (3,4,5)?
The electrical potential (voltage) in a certain region of space is given by the function V(x, y, z) = 5x² –- 3xy + xyz. a. Find the rate of change of the voltage at point (3,4,5) in the direction of the vector (1,1,–1). b. In which direction does the voltage change most rapidly at point (3,4,5)?
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter2: Functions And Graphs
Section2.6: Proportion And Variation
Problem 18E
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