Answer the following questions about the curve x3 + y3 =3xy (called the folium of Descartes).
a. Find the equation of each horizontal tangent to the curve.
b. The curve intersects the line y = xat exactly one point other than the origin. What is the equation of the tangent line at this point?
c. Try to figure out a way to sketch the graph of the curve using your calculator.
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