Consider the following. r,(t) = (2t, t2, t³), r;(t) = (sin(t), sin(3t), 5t) Find r',(t) andr'2(t). r',(t) = r'2(t) = The curves r,(t) = (2t, t2, t) and r,(t) = (sin(t), sin(3t), 5t) intersect at the origin. Find their angle of intersection, 0, correct to the nearest degree. Need Help? Read It

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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#9 13,.2

Consider the following.
r;(t) = (2t, t?, t³), r,(t)
(sin(t), sin(3t), 5t)
Find r',(t) and r'2(t).
r'(t)
=
r'2(t)
The curves r, (t) = (2t, t2, t) and r,(t) = (sin(t), sin(3t), 5t) intersect at the origin. Find their angle of intersection, 0, correct to the nearest degree.
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Transcribed Image Text:Consider the following. r;(t) = (2t, t?, t³), r,(t) (sin(t), sin(3t), 5t) Find r',(t) and r'2(t). r'(t) = r'2(t) The curves r, (t) = (2t, t2, t) and r,(t) = (sin(t), sin(3t), 5t) intersect at the origin. Find their angle of intersection, 0, correct to the nearest degree. Need Help? Read It
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