Use the formula T = T(t) = [r'(t) = r²(e)] - '"(t) x Ir'(t) x r"(t)|2 T(0) = r(t) = 7t, to find the torsion of the following curve at a general point. Find torsion at the point corresponding to t = 0.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Use the formula z = ['(t) x r(t)]. " (c)
T(t)
2
|r'(t) × r"(t)|²
T(0) =
r(t) = 7t, 1⁄2 t²,
3
to find the torsion of the following curve at a general point.
Find torsion at the point corresponding to t = 0.
Transcribed Image Text:Use the formula z = ['(t) x r(t)]. " (c) T(t) 2 |r'(t) × r"(t)|² T(0) = r(t) = 7t, 1⁄2 t², 3 to find the torsion of the following curve at a general point. Find torsion at the point corresponding to t = 0.
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