The curve is defined by for

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

Problem

The curve

C

is defined by

y=\dfrac{k}{2}x^{2}

for

0\le x\le 2

, where

k>0

. The length of

C

is approximately

3.0

units. Which of the following values of

k

is closest to satisfying this condition? (a)

1.1

(b)

1.5

(c)

1.0

(d)

0.9