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5. Över a certain region the éléctrie potelntia ryz. (a) Find the rate of change of the potential at P(3, 4, 5) in the direction of the vector (1,-1,-1). (b) In which direction does V change most rapidly at P? (c) What is the maximum rate of change at P?

5. Över a certain region the éléctrie potelntia ryz. (a) Find the rate of change of the potential at P(3, 4, 5) in the direction of the vector (1,-1,-1). (b) In which direction does V change most rapidly at P? (c) What is the maximum rate of change at P?

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5. Over a certain region the electric potential V is given by V 4x - 2xy + xyz. (a) Find the rate of change of the potential at P(3, 4, 5) in the direction of the vector (1,-1,-1). (b) In which direction does V change most rapidly at P? (c) What is the maximum rate of change at P?
Transcribed Image Text:5. Over a certain region the electric potential V is given by V 4x - 2xy + xyz. (a) Find the rate of change of the potential at P(3, 4, 5) in the direction of the vector (1,-1,-1). (b) In which direction does V change most rapidly at P? (c) What is the maximum rate of change at P?
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