A curve is defined parametrically for by and

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

Problem

A curve is defined parametrically for

-3\le t\le 3

x=t

and

y=t^{3}-3t

. For which value of

t

does the curve change concavity? (a)

t=1

(b)

t=\sqrt{3}

(c)

t=0

(d) The curve does not change concavity on the given interval.