Question: Plot x 3 + y 3 = 3xy + b for several values of b and describe how the graph changes as b 0.

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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