Consider the parametric curve and for

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

Problem

Consider the parametric curve

x=3t

and

y=4t

for

0\le t\le 2

. What is the length of the curve on this interval? (a)

14

(b)

10

(c)

5

(d)

8