Consider the graph of on the interval

MATHEMATICS · Single correct · AP · Calculus BC · Applications of Integration · Applications of Integration

Problem

Consider the graph of

y=k\sin x

on the interval

0\le x\le\pi

, where

k>0

. If the arc length of this curve is

10

units, which value of

k

is closest to satisfying this condition? (a)

4.8

(b)

4.6

(c)

4.3

(d)

5.0