Answer the following questions about the curve x 3 + y 3 = 3xy (called the folium

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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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Calculus For Business, Economics And The Social And Life Sciences

ISBN: 9780073532387

11th Brief Edition

Authors: Laurence Hoffmann, Gerald Bradley, David Sobecki, Michael Price

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Question Posted: May 28, 2023 04:25 AM

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Answer the following questions about the curve x 3 + y 3 = 3xy (called the folium

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

Calculus For Business, Economics And The Social And Life Sciences

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