Frenet Guides d'étude, Notes de cours & Résumés

Question 1 (15 points). Show the following curve is a Frenet curve. Find the curvature and torsion of this curve. √ γ(t) =< t + cos(t), t − cos(t), 2t > Question 2 (10 points). Let γ : [a, b] → R3 be a Frenet curve. Show that d2s ds 2 a(t) = dt2 T(s(t)) + ( dt ) κ(s(t))N(s(t)). Here s(t) = t ǁγ′(t)ǁdt and a(t) = γ′′(t). Question 3 (30points). Let the image of the curve r : [0, l] R3 be on the sphere of radius R and centered at origin. Assume this curve is para...

Voici la fiche du cours "décrire un mouvement" de Terminale spé physique-chimie. Cours qui vous permet de connaitre toutes les particularités des vecteur position, vitesse, accélération dans un repère cartésien comme dans un repère de Frenet.

Dive into the captivating realm of calculus with these comprehensive study notes for Calculus 5.4 S1, delving deep into the art of calculating the length of plane curves. Unveil the magic behind measuring the intricate paths that curves trace, and equip yourself with the tools to conquer the challenges of this fascinating topic. In these notes, you'll explore the core concepts surrounding arc length, from the basics of parametric equations and curves to the advanced techniques of integral ar...

fiche portant sur le chapitre avec les lois importantes, les formules, exemple de rédaction de calcul et définitions