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Greetings,

I'm working on a problem where I am to find the coordinates of the point (x,y,z) to the plane z=3x+2y+1, which is closest to the origin.

I know that this is an optimization problem, and I believe I have to minimize (x,y,3x+2y+1).

I started by finding partial derivative, fx, of the magnitude of the function.

[tex]f_{x}=\frac{10x+12y+4}{2\sqrt{x^2+y^2+2x+3y+1}}[/tex]

Setting that = 0

[tex]0 =\frac{10x+12y+4}{2\sqrt{x^2+y^2+2x+3y+1}}[/tex]

now what?

I'm working on a problem where I am to find the coordinates of the point (x,y,z) to the plane z=3x+2y+1, which is closest to the origin.

I know that this is an optimization problem, and I believe I have to minimize (x,y,3x+2y+1).

I started by finding partial derivative, fx, of the magnitude of the function.

[tex]f_{x}=\frac{10x+12y+4}{2\sqrt{x^2+y^2+2x+3y+1}}[/tex]

Setting that = 0

[tex]0 =\frac{10x+12y+4}{2\sqrt{x^2+y^2+2x+3y+1}}[/tex]

now what?

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