For the curve

MATHEMATICS · Single correct · AP · AP Precalculus · Functions with Parameters, Vectors, and Matrices · Functions with Parameters, Vectors, and Matrices

Problem

For the curve y2(2−x)=x3y^{2}(2-x)=x^{3}, which statement about the tangent at the point (2,0)(2,0) is true? (a) The tangent is vertical. (b) The tangent is horizontal. (c) The point (2,0)(2,0) is not on the curve, so no tangent exists. (d) The tangent has slope 22.

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