6. Let r(t) = <-X²₂00- (a) Find lim r(t). k→0 (b) Find all values t and k for which r(t) is not smooth. (c) Find all values t for which lim r(t) is not smooth. k→0
6. Let r(t) = <-X²₂00- (a) Find lim r(t). k→0 (b) Find all values t and k for which r(t) is not smooth. (c) Find all values t for which lim r(t) is not smooth. k→0
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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Transcribed Image Text:6. Let r(t) =< k cos(t), k sin(t), t
<-X²00-
(a) Find lim r(t).
k→0
(b) Find all values t and k for which r(t) is not smooth.
(c) Find all values t for which lim r(t) is not smooth.
k→0
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