6. A wire is bent to fit the curve y = 1- 2²2. A string is stretched from the origin to a point (x, y) on the curve. Use the method of Lagrange multiplier to find (x, y) to minimize the length of the string.

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6. A wire is bent to fit the curve y = 1-². A string is stretched from the origin to
a point (x, y) on the curve. Use the method of Lagrange multiplier to find (x, y) to
minimize the length of the string.
Transcribed Image Text:6. A wire is bent to fit the curve y = 1-². A string is stretched from the origin to a point (x, y) on the curve. Use the method of Lagrange multiplier to find (x, y) to minimize the length of the string.
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