Full answer: 1922 TrueFalse Determine whether the statement is true orfalse. Explain

Chapter 13, Problem 21

(choose chapter or problem)

Determine whether the statement is true or false. Explain your answer.

If the tangent plane to the graph of \(Z=f(x, y)\) at the point \((1,2,1)\) has equation \(2 x+y-z=3\), then the local linear approximation to f at \((1,2)\) is given by the function \(L(x, y)=1+2(x-1)+(y-2)\).

Equation Transcription:

Text Transcription:

z=f(x, y)

(1, 2, 1)

2x+y-z=3

(1, 2)

L(x, y)=1+2(x-1)+(y-2)

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