In arch of the line in the plane , with equation where and for . Find the coordinates of the point in order that has the biggest area , than find the equation of the tangent and normal line in point

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- Apr 25th 2009, 10:55 AMbeq!xI think this is hard....
In arch of the line in the plane , with equation where and for . Find the coordinates of the point in order that has the biggest area , than find the equation of the tangent and normal line in point

- Apr 25th 2009, 12:01 PMred_dog
The area of the triangle is

where

Then

and both are maximum points.

Then, the maximum area is - Apr 26th 2009, 03:23 AMbeq!x