Use Lagrange multipliers to find the point on the given plane that is closest to the...

Use Lagrange multipliers to find the point on the given plane that is closest to the following point.

x − y + z = 6; (2, 7, 3)

Solutions

Expert Solution

Assuming the point to be (x,y,z) then we will find its distance,d, from the given point (2,7,3). Let us define f(x,y,z)= d2 = (x-2)2+(y-7)2+(z-3)2 and let g(x,y,z)=x-y+z-6 such that g(x,y,z)=0. Then putting amd find the value of . Then the point (x,y,z) can be found out.

milcah answered 1 year ago

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