Expert: Paul Klarreich - 11/24/2009

Question
hi



can u help me in this question please



how can i find the unit tangent vector at the indicated point of the vector function:



r(t) = e17t cost i+e17t sint j+e17t k

T=(p/2)



your help is very appertained

Answer
Questioner: meme
Country: Qatar
Category: Calculus
Private: No
Subject: cal.3
Question: hi

can u help me in this question please

how can I find the unit tangent vector at the indicated point of the vector function:

r(t) = e17t cost i+e17t sint j+e17t k

T=(p/2)

.....................

You have r(t) = <x,y,z>, so

A. Find r'(t) = < x', y', z'>
B. Evaluate it at  t = pi/2.
C. Find abs(r'(pi/2)) = sqrt(x'^2 ...)
D. Divide.