7, 8 and 9 Find the length of the curve correct to four decimal places. (Use a calculator to approximate the integral.)
7. $r(t) = (t^2, t^3, t^4)$, $0 < t \le 2$
Answer
8. $r(t) = (t, e^t, te^{-t})$, $1 \le t \le 3$
9. $r(t) = (\cos \pi t, 2t, \sin 2\pi t)$, from $(1, 0, 0)$ to $(1, 4, 0)$