Question
Find the relative minimum of f(x,y)= x² + y2, subject to x+y=1. OA. f 1 1...
Find the relative minimum of f(x,y)= x² + y2, subject to x+y=1. OA. f 1 1 22 = 1 OB. f(0,1)= 2 OC. 1 1 1 (2) - OD. f(0,1)= 1
Answers
x tyr x+y= ty=ay. flu, y) = fx = 2x fr=0 2x=0 at x=0 2-0 aty=) oty=1 y=1 2 fry=0, fax=2 fyy= D= Exxtyy-lfny)? (2) (2) - D = 4 Relative minimum hence at Co, 1) f(0, 1) - 0²+12 f(0, 1) =
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