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

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).

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