Question: Answer the following questions about the curve x 3 + y 3 = 3xy (called the folium of Descartes). a. Find the equation of each

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  x at 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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a A point where the tangent is horizontal must satisfy dydx 0 or y x 2 Substit... View full answer

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