Mathematics

Mathematics

Problem

A curve is defined parametrically for −3≤t≤3-3\le t\le 3 by x=tx=t and y=t3−3ty=t^{3}-3t. For which value of tt does the curve change concavity? a) t=1t=1 b) t=3t=\sqrt{3} c) t=0t=0 d) The curve does not change concavity on the given interval.

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