Question 1035335: Findax/min point for the following function:
f (x,y) = -x^2-y^2 + 6x + 8y - 21
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Find max/min point for the following function:
f (x,y) = -x^2-y^2 + 6x + 8y - 21
Complete the square on the x and on the y terms::
-[x^-6x+9]-[y^2-8y+16] = 21-9-16 = -4
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(x-3)^2/4 + (y-4)^2/4 = 1
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Circle with center at (3,4) and radius = 2
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Max point (3,4+2) = (3,6)
Min point (3,4-2) = (3,2)
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Cheers,
Stan H.
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