by arelength. Exercise 1/2 Consider the curve, alt) x(+)=(et, et vot). Reparametrize by arclength
(1 point) Starting from the point (4,3,2)(4,3,2) reparametrize the curve r(t)=(4+3t)i+(3−3t)j+(2−2t)kr(t)=(4+3t)i+(3−3t)j+(2−2t)k in terms of arclength.
(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
-C et te Find the arclength along y = from x = 0 to x = 1. 2
(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
a © lt (t) =<et, zee, 2t> a) compute the are arclength of the from tuoto tl. b) Reparemeterize the respect to *length. c) compute Ť, š, and B. F with d) Find formula for the curvature Evaluate it at t:1. e) Find the normal and osculating planes at t:1. f) Find the tangential and normal components of the acceleration t:1.
1 point) Find the arclength of the curve r(t)=(2t2,2y2t,int), for 1-t-6. 1 point) Find the arclength of the curve r(t)=(2t2,2y2t,int), for 1-t-6.
Compute the arclength of the following curve. You must SHOW your work to receive full credit. 3 x (t) = 2tz +2, y(t) = 2t -3, 0 <t<1 Your answer may be in the form of a calculator input OR a decimal rounded to 2 decimal places.
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
The arclength of the curve r(t) = (2 cos(at/2), 2 sin"(at/2),1), between the points r = (2,0,1) and r = (0,2,1), is given by the expression -] . a37 sin(a4nt/2) cos(azat/2) dt = 06. 02 Fill in the blank for ai, i = 1,...,6. Answers should be integers, no spaces, no punctu- ation, the only non-numeric symbol allowed is a minus sign. where a1, 22, 23, 24, 25 and 26 are integers given by: 01 = A2 = A3 =...
1. a. Consider the curve defined by the following parametric equations: r(t) = et-e-t, y(t) = et + e-t where t can be any number. Determine where the particle describing the curve is when tIn(3) In(2). 0, ln(2) and In(3). Split up the work among your group Onex, vou l'ave found i lose live polnia, try to n"惱; wbai ille wlu le curve "u"ht lex k like. b. Verify that every point on the curve from the previous problem solves...