reparametrize the curve r(t)= <t,3cost,3sint> with respect to arc lenght
Reparametrize the curve with respect to arc length measured from the point where t = 0 in the direction of increasing t. (Enter your answer in terms of s.) r(t) = 2t i + (2 − 3t) j + (8 + 4t) k r(t(s)) =
Find the length of the curve r(t) =< 3cost, 3sint, 4t > for 1 st 57.
(1 point) Starting from the point (1,1, -3) reparametrize the curve r(t) = (1 – 1t) i + (1 – 1t)j + (-3 – 3t) k in terms of arclength. r(t(s)) = it j+ k
U © © and Me if it) = (x+4?) 7+ (2+t')}+*k , evaluate S'iltydt Reparametrize the curve with respect to arc length measured from the point where too in the direchin of increasing t. Fit) = (2+3t) i + (8+9+) 3 - 6t he 22 fenchon
eparametrize the curve with respect to arc length measured from the point where t = 0 in the direction of increasing t. (Enter your answer in terms of s. r(t) = cos 7ti +2j+et sin 7tk (t(s)) = (2+1)0001( a + 1)) +25+(vs + 1}sin(in( tz +1]] x
(1 point) Starting from the point (-4,-1,0) reparametrize the curve r(t) = (-4+ 3t)i + (-1+2t)j + (0+2t)k in terms of arclength. r(t(s)) it j+ k
Question 17 Calculate the arc length of the curve r(t) = (cos: t)+ (sin t)k on the interval 0 <ts. Question 18 Find the curvature of the curve F(t) = (3t)i + (2+2)ż whent = -1. No new data to save. Last checked a
Problem 4, Find, for 0-x-π, the arc-length of the segment of the curve R(t) = (2 cos t-cos 2t, 2 sin t-sin 2t) corresponding to 0< t < r
1. Find t(s), n(s), b(s), k(s), T(s) for the following curves (don't forget to reparametrize by arc-length if necessary). (i) a(t) = (e', e' sin(t), e' cos(t)) for te R. (ii) a(t) = (13/2, t, t³/2), on the interval I = (0, o0).
3. (7 Points) Consider the space curve represented by Ro (3sint, 4cost, 2t), 0 s t s 4T. a. Find a surface that the space curve is on. b. Sketch the space curve (use the grid on the back of this page). Draw it on the surface you found and indicate with an arrow the direction in which t increases