For the curve ,

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

Problem

For the curve

x = t^{2}+1

y = t^{3}-3t

, consider the open interval

(-3,3)

of the parameter

t

. On which part of this interval is the curve concave upward? (a)

(-3,0)

only (b)

(0,3)

only (c)

(-3,0)\,\cup\,(0,3)

(d) Nowhere in

(-3,3)