A vector-valued function is given by: r(t) = √t · ï + e³ª · j + ½ · k ; 1≤t≤e On the curve a point P is given, corresponding to t = 1. a) Determine the position r(t), the velocity v(t), the speed ||v(t) || and the acceleration a(t) of the particle at the point P. b) Determine the unit tangent vector T(t), unit binormal vector B (t) and the unit normal vector N(t) at the point P. c) Find a vector equation of the tangent line to the curve at the point P.
A vector-valued function is given by: r(t) = √t · ï + e³ª · j + ½ · k ; 1≤t≤e On the curve a point P is given, corresponding to t = 1. a) Determine the position r(t), the velocity v(t), the speed ||v(t) || and the acceleration a(t) of the particle at the point P. b) Determine the unit tangent vector T(t), unit binormal vector B (t) and the unit normal vector N(t) at the point P. c) Find a vector equation of the tangent line to the curve at the point P.
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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