It is a minimization problem and i don't really understand them. Please give me some reasonable solution on the following one:
Find the point (x, y) belong toR2 on the graph of y = x^(1\2) nearest to the point (4, 0).
Thanks X 100000
It is a minimization problem and i don't really understand them. Please give me some reasonable solution on the following one:
Find the point (x, y) belong toR2 on the graph of y = x^(1\2) nearest to the point (4, 0).
Thanks X 100000
Hello, saskadimova!
Perhaps a sketch will help . . .Find the point on the graph of nearest to the pointCode:| | * | (x,y) * | o | * \ |* \d | \ - - * - - - o- - - - - | (4,0)
The point has coordinates
We want its distance from to be a minimum.
The distance is: .
. . So we have: .
Then: .
Hence: .
And: .
Therefore, the nearest point is: .