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gavinoliveraLv1
29 Mar 2023
Suppose that over a certain region of space the electrical potential V is given by the following equation.
V(x, y, z) = 2x2 − 2xy + xyz
(a)
Find the rate of change of the potential at
P(2, 2, 4)
in the direction of the vector v = i + j − k.
20√3
(b)
In which direction does V change most rapidly at P?
(c)
What is the maximum rate of change at P?
15.874
Suppose that over a certain region of space the electrical potential V is given by the following equation.
V(x, y, z) = 2x2 − 2xy + xyz
(a)
Find the rate of change of the potential at
P(2, 2, 4)
in the direction of the vector v = i + j − k.
20√3
(b)
In which direction does V change most rapidly at P?
(c)
What is the maximum rate of change at P?
15.874
check-anishaLv8
16 Apr 2023
vietchanghgLv10
2 Apr 2023
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freekjr1490Lv5
29 Mar 2023
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brain-a380Lv10
29 Mar 2023
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rosi10agarwalLv10
29 Mar 2023
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