2 f(t) = ( tv4t2 + 1, sin(t) cos² (t), t2 + 1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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I just need help for b and c please show work 

6.
Consider the vector-valued function f: R → R³ given by:
S() =
= (t/A? +1, sin(t) cos"(1), p1),
f(t
for t eR
t2 +1
(a)
Find f'(t), for t e R.
(b)
Find a parametrization for the tangent line to the curve associated to with f for t = 0.
(c)
Find
f(t) dt.
Transcribed Image Text:6. Consider the vector-valued function f: R → R³ given by: S() = = (t/A? +1, sin(t) cos"(1), p1), f(t for t eR t2 +1 (a) Find f'(t), for t e R. (b) Find a parametrization for the tangent line to the curve associated to with f for t = 0. (c) Find f(t) dt.
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