help mathematical methods
Suppose that over a certain region of space the electrical potential V is given by V (x, y, z) =
x
2y + yz + xyz. [10 Marks]
(a) Find the rate of change of the potential at the point A(1, 2, 3) in the direction of the
vector d = i + j − 2k.
(b) In which direction does V change most rapidly at A?
(c) What is the maximum rate of change at A?
x
2y + yz + xyz. [10 Marks]
(a) Find the rate of change of the potential at the point A(1, 2, 3) in the direction of the
vector d = i + j − 2k.
(b) In which direction does V change most rapidly at A?
(c) What is the maximum rate of change at A?
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While you're waiting for an answer, did you know we have 300,000 study resources that could answer your question in TSR's Learn together section?
We have everything from Teacher Marked Essays to Mindmaps and Quizzes to help you with your work. Take a look around.
If you're stuck on how to get started, try creating some resources. It's free to do and can help breakdown tough topics into manageable chunks. Get creating now.
Thanks!
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Original post by tayyy
Suppose that over a certain region of space the electrical potential V is given by V (x, y, z) =
x
2y + yz + xyz. [10 Marks]
(a) Find the rate of change of the potential at the point A(1, 2, 3) in the direction of the
vector d = i + j − 2k.
(b) In which direction does V change most rapidly at A?
(c) What is the maximum rate of change at A?
x
2y + yz + xyz. [10 Marks]
(a) Find the rate of change of the potential at the point A(1, 2, 3) in the direction of the
vector d = i + j − 2k.
(b) In which direction does V change most rapidly at A?
(c) What is the maximum rate of change at A?
Look in your notes for directional derivatives
it will also be more helpful and faster for you (no need to type) to post a photo of the problem/problem sheet
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