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Consider the vector-valued function r(t) = (e', et, /2t) in R³. (a) Draw a rough sketch of the space curve it defines (its graph) for -2

Consider the vector-valued function r(t) = (e', et, /2t) in R³. (a) Draw a rough sketch of the space curve it defines (its graph) for -2

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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5. Consider the vector-valued function r(t) = (e', e¬t, v2 t) in R³. (a) Draw a rough sketch of the space curve it defines (its graph) for –2 <t < 2. (b) Find the arc-length of the curve from t = 0 to t = a (any a E R). You may want to consider the expansion of (e' +e¬t)². (c) Find T, N and B at t = 0.
Transcribed Image Text:5. Consider the vector-valued function r(t) = (e', e¬t, v2 t) in R³. (a) Draw a rough sketch of the space curve it defines (its graph) for –2 <t < 2. (b) Find the arc-length of the curve from t = 0 to t = a (any a E R). You may want to consider the expansion of (e' +e¬t)². (c) Find T, N and B at t = 0.
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