Home /
Expert Answers /
Calculus /
find-the-arc-length-parameter-along-the-curve-from-the-point-where-t0-by-evaluating-the-integral-t-pa133
(Solved): Find the arc length parameter along the curve from the point
where t0 by evaluating the integral . T ...
Find the arc length parameter along the curve from the point
where t0 by evaluating the integral . Then find the length of the
indicated portion of the curve. r(t)=(9+3t)i+(6+3t)j+(4-7t)k
Find the arc length parameter along the curve from the point where \( t=0 \) by evaluating the integral \( s=\int_{0}^{t}|v(\tau)| d \tau \). Then find the length of the indicated portion of the curve. \[ \mathbf{r}(\mathrm{t})=(9+3 \mathrm{t}) \mathbf{i}+(6+3 \mathrm{t}) \mathbf{j}+(4-7 \mathrm{t}) \mathbf{k},-1 \leq \mathrm{t} \leq 0 \] The arc length parameter is \( s(t)= \) (Type an exact answer, using radicals as needed.) The length of the indicated portion of the curve is (Type an exact answer, using radicals as needed.)