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. Let C be a curve given by with t real. r(t) = (et sint, et cost, √√2e¹), (a) Find the binormal vector B(t). (b) Find the arc length of C from (0, 1, √√2) to (0, e²™, √√2e²™). (c) Find the curvature (t).

. Let C be a curve given by with t real. r(t) = (et sint, et cost, √√2e¹), (a) Find the binormal vector B(t). (b) Find the arc length of C from (0, 1, √√2) to (0, e²™, √√2e²™). (c) Find the curvature (t).

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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1. Let C be a curve given by with t real. r(t) = (e¹ sint, et cost, √2e¹), (a) Find the binormal vector B(t). (b) Find the arc length of C from (0, 1, √√2) to (0, e²π, √2e²π). (c) Find the curvature ê(t).
Transcribed Image Text:1. Let C be a curve given by with t real. r(t) = (e¹ sint, et cost, √2e¹), (a) Find the binormal vector B(t). (b) Find the arc length of C from (0, 1, √√2) to (0, e²π, √2e²π). (c) Find the curvature ê(t).
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