IV. Let F be a vector-valued function such that 1 F'(t) = (te', ; 1 + 1.31²) and F(0) = (-1, 0, -2). 1. Determine F(t). 2. Find a vector equation of the line tangent to the graph of F at t = 1.
IV. Let F be a vector-valued function such that 1 F'(t) = (te', ; 1 + 1.31²) and F(0) = (-1, 0, -2). 1. Determine F(t). 2. Find a vector equation of the line tangent to the graph of F at t = 1.
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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Transcribed Image Text:IV. Let F be a vector-valued function such that
F' (t) = (te²
1+ t²
36²). and F(0) = (-1, 0, -2).
1. Determine F(t).
2. Find a vector equation of the line tangent to the graph of ♬ at t = 1.
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