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)==(b) Use the formula k(t)k(t) ==IT'(t)|Ir' (t)|to find the curvature.

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Answered: Consider the following vector function.…

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Topics In Analytic Geometry

Section6.2: Introduction To Conics: parabolas

Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.

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Consider the following vector function. r(t) = (2√2t, e²², e-20) (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)| Ir'(t)\ to find the curvature.