Question 2. Which three of these vector functions trace out the same curve? (a) r(t) = (−2+ cost)i + 9j + (3 — sin t)k (b) r(t) = (2 + cost)i - 9j + (−3 – sint)k (c) r(t) = (−2+ cos 3t)i + 9j + (3 − sin 3t)k - (d) r(t) = (−2 −— cos t)i + 9j + (3 + sint)k (e) r(t) = (2+ cost)i + 9j + (3 + sin t)k

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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Question 2. Which three of these vector functions trace out the same curve?
(a) r(t) = (−2+ cos t)i + 9j + (3 — sint)k
(b) r(t)
=
(2 + cost)i - 9j + (−3 – sint)k
(c) r(t) = (−2+ cos 3t)i + 9j + (3 − sin 3t)k
(d) r(t) = (−2 −— cos t)i + 9j + (3 + sint)k
(e) r(t) = (2+ cost)i + 9j + (3 + sin t)k
Transcribed Image Text:Question 2. Which three of these vector functions trace out the same curve? (a) r(t) = (−2+ cos t)i + 9j + (3 — sint)k (b) r(t) = (2 + cost)i - 9j + (−3 – sint)k (c) r(t) = (−2+ cos 3t)i + 9j + (3 − sin 3t)k (d) r(t) = (−2 −— cos t)i + 9j + (3 + sint)k (e) r(t) = (2+ cost)i + 9j + (3 + sin t)k
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