SOLUTION: f(x,y) = x^2+y^2−4x−8y+30 fonksiyonunun minimum değerinin hangi x ve y noktalarında sağlandığını ve minimum değerin kaç olduğunu analitik çözümleyiniz.

Question 1182171: f(x,y) = x^2+y^2−4x−8y+30 fonksiyonunun minimum değerinin hangi x ve y noktalarında sağlandığını ve minimum değerin kaç olduğunu analitik çözümleyiniz.
Answer by greenestamps(13198) (Show Source): You can put this solution on YOUR website!

f(x,y) = x^2+y^2−4x−8y+30 fonksiyonunun minimum değerinin hangi x ve y noktalarında sağlandığını ve minimum değerin kaç olduğunu analitik çözümleyiniz

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All those "funny" letters looked to me like Turkish, and I was right; here is how Google translator interpreted this:

Analyze analytically at which x and y points the minimum value of the function is achieved and what the minimum value is.

Complete the square in x and y:

and both have minimum value 0 -- when x=2 and y=4.

ANSWER: The minimum value, when x=2 and y=4, is 10.

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