Find R(t); suppose that it is a differentiable vector function for - 1 with R' (t) = 1²,1 + t²) and R(0) = (1,1,−1). ( 1 / /t' 1+t' 1+t2' Give vector equation of the line tangent to the curve defined by (1,1,-1). Evaluate (Rof)(0) if f(t) = 2ent

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. Find R(t); suppose that it is a differentiable vector function for t >
− 1 with R' (t) = (¹+1+²,1 + t²) and R(0) = (1,1, −1).
-
+t'
Give vector equation of the line tangent to the curve defined by R(t) at
(1,1,-1).
Evaluate (Rof) '(0) if ƒ(t) = 2eπt¸
Transcribed Image Text:1. Find R(t); suppose that it is a differentiable vector function for t > − 1 with R' (t) = (¹+1+²,1 + t²) and R(0) = (1,1, −1). - +t' Give vector equation of the line tangent to the curve defined by R(t) at (1,1,-1). Evaluate (Rof) '(0) if ƒ(t) = 2eπt¸
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