For , consider the curve on . The length of this curve over the given interval is…

MATHEMATICS · Subjective · AP · Calculus BC · Applications of Integration · Applications of Integration

Problem

For

k>0

, consider the curve

y = kx^{2}

0 \le x \le 2

. The length of this curve over the given interval is

6

units. Determine

k

, correct to the nearest thousandth.