Plot x 3 + y 3 = 3xy + b for several values of b and describe

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Plot x³ + y³ = 3xy + b for several values of b and describe how the graph changes as b → 0. Then compute dy/dx at the point (b^1/3, 0). How does this value change as b → ∞? Do your plots confirm this conclusion?

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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Question Posted: Nov 11, 2023 08:22 AM

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Plot x 3 + y 3 = 3xy + b for several values of b and describe

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a Consider the first row of figures below When b 0 the graph ...View the full answer

Calculus

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