Question: Find the minimum in the function of the previous problem subject to the constraint x + y = 2. Do this by substitution and by

Find the minimum in the function of the previous problem subject to the constraint x + y = 2. Do this by substitution and by the method of undetermined multipliers.

Previous Problem

Find the location of the minimum in the function

f = f (x,y) = x² − x − y + y²

considering all real values of x and y. What is the value of the function at the minimum?

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