The curve is given by and for

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

Problem

The curve is given by

x(t)=t^{2}

and

y(t)=t^{3}-6t

for

t\ge 0

. Decide whether the portion corresponding to

1\le x\le 9

is concave up or concave down.