Find the arc length parameter along the given curve from the point where t =0 by evaluating the integral s(t) = [v(t)| dt. Then find the length of the indicated portion of the curve r(t) = 9cost i + 9sint j + 2t k, where OstsFind the arc length parameter along the curve from the point where t =0 by evaluating the integral s = lvldt. Then find the length of the indicated portion of the curve. r(t) = ( et cost) i+ (et sint)j - ek, - In4sts()To illustrate that the length of a smooth space curve does not depend on the parameterization used to compute it, calculate the length of one turn of the helix with the following parameterizations. a. r(t) = (cos 4t)i + (sin 4t)j + 4tk, Osts 1 = 27 b. rit) = cos | + si ]. 5k k, Ost=4. c. r(t) = (cost)i - (sin t)j - tk, - 2nets 0) Note that the helix shown to the right is just one example of such a helix, and does not exactly correspond to the parametrizations in parts a, b, or c. (1, 0,0)/= 0 Y