The area of a square is 4x²-2xy-6y² square units. A triangle inside has an area of -5xy+4y-3x² square units . Find the area of shaded region?
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Answer:
The graph of z=
√
16−x2−y2
has a maximum value when (x,y)=(0,0). It attains its minimum value at the boundary of its domain, which is the circle x2+y2=16.
In Maxima and Minima, we showed that extrema of functions of one variable occur at critical points.
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