A point moves so that

MATHEMATICS · Subjective · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

A point (x,y)(x,y) moves so that (x2+y2)2=25 (x2−y2)(x^{2}+y^{2})^{2}=25\,(x^{2}-y^{2}). At the instant when x=3x = 3, y=1y = 1, and xx is increasing at 0.60.6 units per second, determine dy/dtdy/dt.

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