cos(zt),nt, sin(nt)) e point where t = 0 to the point point where E1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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L= [D,F||
= | VIF(})? + [g'(t)² + [h'(t)]² dt,
dt
a
a
where T (t) = f(t)î + g(t)ĵ+ h(t)k.
Transcribed Image Text:L= [D,F|| = | VIF(})? + [g'(t)² + [h'(t)]² dt, dt a a where T (t) = f(t)î + g(t)ĵ+ h(t)k.
Let the curve C be traced by the vector-valued function
R t) -(cos(zt) , πt, sin (πt))
a. Find the length of arc of C from the point where t = 0 to the point where t = 2.
b. Find the moving trihedral of C at the point where =1.
Transcribed Image Text:Let the curve C be traced by the vector-valued function R t) -(cos(zt) , πt, sin (πt)) a. Find the length of arc of C from the point where t = 0 to the point where t = 2. b. Find the moving trihedral of C at the point where =1.
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