Multivariable Calculus Quiz
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Consider the surface z=f(x,y)=x3−3xy2+2yz = f(x,y) = x^3 - 3xy^2 + 2y. If you project the curve where this surface intersects the plane z=5z = 5 onto the xyxy-plane, what is the slope of the resulting level curve at the point where x=2x = 2 and y=1y = 1?
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