For the parametric equations and on the interval

MATHEMATICS · Subjective · AP · Calculus BC · Parametric, Polar, and Vector-Valued Functions · Parametric, Polar, and Vector-Valued Functions

Problem

For the parametric equations x(t)=2t+1x(t)=2t+1 and y(t)=t3−3ty(t)=t^{3}-3t on the interval −2≤t≤2-2\le t\le 2, determine the set of tt-values for which the curve is concave up.

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