Mathematics

Mathematics

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

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