Let for . What is the exact length of this segment of the…

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

Problem

Let

y=4x+1

for

0\le x\le3

. What is the exact length of this segment of the line? (a)

12

(b)

3\sqrt{15}

(c)

3\sqrt{17}

(d)

\sqrt{17}