SOLUTION: the electronic potential at a point (x;y) on the same line segment extending from (0;3) to (2;0) is given by {{{P=3x^2+2y^2}}} at what point on this line segment is the potentail a
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-> SOLUTION: the electronic potential at a point (x;y) on the same line segment extending from (0;3) to (2;0) is given by {{{P=3x^2+2y^2}}} at what point on this line segment is the potentail a
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Question 284312: the electronic potential at a point (x;y) on the same line segment extending from (0;3) to (2;0) is given by at what point on this line segment is the potentail a minimum? Answer by Fombitz(32388) (Show Source):
You can put this solution on YOUR website! Find the line connecting (0,3) and (2,0).
When x=0, y=3,
So then
Find
Substitute into P(x,y),
Now P is only a function of x.
Differentiate wrt x and set the derivative equal to zero to find the minimum.
Now going back to the line equation,
The minimum occurs at (6/5,6/5).