Question: Let S be the unit circle defined by the preimage of zero under f ( x , y ) = x 2 + y 2

Let S be the unit circle defined by the preimage of zero under f(x,y)=x2+y2-1. Let g(x,y)=ax2+2bxy+cy2 where a,b,cinR. List the points where g is extremized on S. Draw a picture.
Let S be the unit circle defined by the preimage of

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