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Let y be the curve with vector form r(t) = (1/(t+ 2), sin(sin(sin t)), e-"). a) Determine whether the curve y passes through the point (1,0, 1). (b) Compute lim r(t), or show that this limit does not exist. t-∞ (c) Compute r(t) dt. 1

Let y be the curve with vector form r(t) = (1/(t+ 2), sin(sin(sin t)), e-"). a) Determine whether the curve y passes through the point (1,0, 1). (b) Compute lim r(t), or show that this limit does not exist. t-∞ (c) Compute r(t) dt. 1

Advanced Engineering Mathematics
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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Let y be the curve with vector form r(t) = (1/(t+ 2), sin(sin(sin t)), e-"). a) Determine whether the curve y passes through the point (1,0, 1). (b) Compute lim r(t), or show that this limit does not exist. t-∞ (c) Compute r(t) dt. 1
Transcribed Image Text:Let y be the curve with vector form r(t) = (1/(t+ 2), sin(sin(sin t)), e-"). a) Determine whether the curve y passes through the point (1,0, 1). (b) Compute lim r(t), or show that this limit does not exist. t-∞ (c) Compute r(t) dt. 1
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