Given the parametric equations and

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

Problem

Given the parametric equations

x = 3t + 1

and

y = t^{2} - 2

, find the value of

t

at which the tangent to the curve has slope

4

. (a)

4

(b)

6

(c)

0.5

(d)

2