Question: (a) Find the local minimum of the function f(x,y) = x 2 + y 2 + 2x. (b) Without using the method of Lagrange, find

(a) Find the local minimum of the function

f(x,y) = x2 + y2 + 2x.

(b) Without using the method of Lagrange, find the constrained minimum subject to the constraint,

x = −y.

(c) Find the constrained minimum using the method of Lagrange.

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