The curve is defined for by and

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

Problem

The curve is defined for

-2\le t\le 2

x(t)=t^{2}+1

and

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

. Determine all values of

t

in this interval at which the curve has a horizontal tangent. (a)

t=-1,\,0,\,1

(b)

t=0

(c)

t=-1,\,1

(d)

t=1