Let be the curve given by and for

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

Problem

Let

C

be the curve given by

x=t

and

y=\dfrac{t^{2}}{2}

for

0\le t\le 3

. To the nearest hundredth, what is the length of

C

on this interval? (a)

6.56

(b)

5.29

(c)

5.65

(d)

4.67