3. Use integration to determine the formula for the "equatior: given that : F(t) = ( 2t , 12e" , sin t) and 7(0) = (1,2, 4. Consider the plane curve C: F(t) = (b cos(wt), b sin(wt) (a) Find the value of a for which 7+ aĩ = ō.

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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3. Use integration to determine the formula for the "equation of motion" 7(t),
given that :
F (t) = ( 2t, 12e", sin t) and 7(0) = (1,2,3).
4. Consider the plane curve C: 7(t) = (b cos(@t), b sin(wt)).
(a) Find the value of a for which * + a = ö .
(b)Compute the Frenet frame formulas for C : F(t).
(c) Determine the curvature function «(t) for the curve.
Transcribed Image Text:3. Use integration to determine the formula for the "equation of motion" 7(t), given that : F (t) = ( 2t, 12e", sin t) and 7(0) = (1,2,3). 4. Consider the plane curve C: 7(t) = (b cos(@t), b sin(wt)). (a) Find the value of a for which * + a = ö . (b)Compute the Frenet frame formulas for C : F(t). (c) Determine the curvature function «(t) for the curve.
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