The vector function traces a helix for

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

Problem

The vector function

\mathbf r(t)=\langle 3\cos t,\,3\sin t,\,4t\rangle

traces a helix for

0\le t\le\pi

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

4\pi

(b)

3\pi

(c)

5\pi

(d)

\pi\sqrt{34}