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Mathematics 9 Online
OpenStudy (anonymous):

Find the maximum and minimum values of the function f(x,y) = xy subject to the constraint x2/2 + y2/2 = 1. Give the maximum and minimum values and the points at which they are attained.

OpenStudy (experimentx):

make use of lagrange multiplies.

OpenStudy (anonymous):

I tried it but was not able to do it...

OpenStudy (experimentx):

or you can express y in terms of x from that constraint ... use that to substitute y in the function that you were to minimize. which makes your function single variable. but it's better to make use of lagrange multiplies.

OpenStudy (experimentx):

|dw:1363153768050:dw| are these the one you want to optimize?

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