1. Use the method of Lagrange multipliers to find the minimum value of the function f (x, y) = x² + y² subject to the constraint xy = 54. 2. Find and list all critical values and identify the absolute...

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1. Use the method of Lagrange multipliers to find the minimum value of the function<br>f (x, y) = x² + y² subject to the constraint<br>xy = 54.<br>2. Find and list all critical values and identify the absolute maximum and minimum values<br>of the function f(x,y)= xy² over the region in the xy-plane bounded by the graphs of<br>y = 4 – x and y=3x for y> 0.<br>

Extracted text: 1. Use the method of Lagrange multipliers to find the minimum value of the function f (x, y) = x² + y² subject to the constraint xy = 54. 2. Find and list all critical values and identify the absolute maximum and minimum values of the function f(x,y)= xy² over the region in the xy-plane bounded by the graphs of y = 4 – x and y=3x for y> 0.

Jun 03, 2022

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1. Use the method of Lagrange multipliers to find the minimum value of the function f (x, y) = x² + y² subject to the constraint xy = 54. 2. Find and list all critical values and identify the absolute...

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