Find the domain of the vector functions, r(t), listed below. You may use "-INF" for -∞ and use "INF" for ∞ as necessary, and use "U" for a union symbol if a union of intervals is needed. a) r(t) = (ln(7t), √t + 20, √2) (-20,12) b) r(t) = ( √t – 5, sin(7t), t²) (-∞0,5)U(5,00) c) r(t) = ( (-∞0,00) e -5t 2 VP²-40,t¹/3)

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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Find the domain of the vector functions, r(t), listed below.
You may use "-INF" for -∞ and use "INF" for ∞ as necessary, and use "U" for a union
symbol if a union of intervals is needed.
a) r(t) = (ln(7t), √t + 20, √2)
(-20,12)
b) r(t) = ( √t – 5, sin(7t), t²)
(-∞0,5)U(5,00)
c) r(t) = (
(-∞0,00)
e
-5t
2
√²-10, ¹/3)
Transcribed Image Text:Find the domain of the vector functions, r(t), listed below. You may use "-INF" for -∞ and use "INF" for ∞ as necessary, and use "U" for a union symbol if a union of intervals is needed. a) r(t) = (ln(7t), √t + 20, √2) (-20,12) b) r(t) = ( √t – 5, sin(7t), t²) (-∞0,5)U(5,00) c) r(t) = ( (-∞0,00) e -5t 2 √²-10, ¹/3)
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