Let be a real constant

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

Problem

Let

a

be a real constant. For the curve

x=t^{2},\;y=t^{3}-a t

, the point corresponding to

t=1

is an inflection point. What is the value of

a

? (a)

3

(b)

-3

(c)

-1

(d)

1