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Consider the following vector function. r(t) = (2√/2t,6²², 6-2t) (a) Find the unit tangent and unit normal vectors T(t) and N(t) T(t) N(t) = = (b) Use the formula k(t) k(t): = = IT'(t)| │r'(t)| to find the curvature.

Consider the following vector function. r(t) = (2√/2t,6²², 6-2t) (a) Find the unit tangent and unit normal vectors T(t) and N(t) T(t) N(t) = = (b) Use the formula k(t) k(t): = = IT'(t)| │r'(t)| to find the curvature.

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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Consider the following vector function. r(t) = (2√2t, e²t, e-2t) (a) Find the unit tangent and unit normal vectors T(t) and N(t). T(t) = N(t) www. (b) Use the formula ê(t) = k(t) = IT'(t)| Ir' (t) | to find the curvature.
Transcribed Image Text:Consider the following vector function. r(t) = (2√2t, e²t, e-2t) (a) Find the unit tangent and unit normal vectors T(t) and N(t). T(t) = N(t) www. (b) Use the formula ê(t) = k(t) = IT'(t)| Ir' (t) | to find the curvature.
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