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

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- Mar 4th 2009, 05:10 PMsaskadimovathe nearest point sort of problems
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

- Mar 4th 2009, 08:57 PMSoroban
Hello, saskadimova!

Quote:

Find the point on the graph of nearest to the point

Code:`|`

| *

| (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: .