The curve given by and is considered for

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

Problem

The curve given by x=t2−4tx=t^{2}-4t and y=t3−6t2+9ty=t^{3}-6t^{2}+9t is considered for 0→50\to 5. At which of the following tt–values does yy attain relative minima with respect to xx? (a) t=3  onlyt=3\,\text{ only} (b) t=1  and  t=3t=1\,\text{ and }\,t=3 (c) t=2  onlyt=2\,\text{ only} (d) t=1  onlyt=1\,\text{ only}

Related theory

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