Question: Suppose that g ( x , y ) = x 2 + y 2 1 and f ( x , y ) = y a

Suppose thatg(x,y)=x2+y21 andf(x,y)=yax for some number a, and that you wish to find the point on the circle with equationg(x,y)=0 at whichf(x,y) is largest. How would you know hat at this point the slope of the tangent line to the level curveg(x,y)=0 is a? (HINT: this can be answered with a few sentences saying how/why the slope isa or alternatively with a computation explicitly showing that is the slope.

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