Calculus In Exercises 35 and 36, find the values of x, y, and that satisfy the system of

Chapter 1, Problem 36

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Calculus In Exercises 35 and 36, find the values of x, y, and \(\lambda\) that satisfy the system of equations. Such systems arise in certain problems of calculus, and \(\lambda\) is called the Lagrange multiplier.

\(\begin{aligned} 2 y+2 \lambda+2 &=0 \\ 2 x+\lambda+1 &=0 \\ 2 x+y-100 &=0 \end{aligned} \)

Text Transcription:

Lambda

2 y+2 lambda+2 =0

2 x+lambda+1 =0

2 x+y-100 =0

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