II. Let F and G be vector-valued F(1) = (1,0,2), F'(1) = (1,1,2), G(1) = (2,1,3), G'(1) = (-1, -2,4), Find the following: 1. a vector equation of the tangent line to the graph of F at t = 1. 2. (Gof)'(0) + F"(1) where f(t) = e²t. 3. (F' x G)(1). functions such that F" (1)=(3,4,2), G"(1) = (3,2,0).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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II. Let F and G be vector-valued
F(1) = (1,0,2),
F'(1) = (1,1,2),
G(1) = (2,1,3),
G'(1) = (-1, -2,4),
Find the following:
1. a vector equation of the tangent line to the graph of F at t = 1.
2. (Go f)'(0) + F"(1) where f(t) = e²t.
3. (F' x G)(1).
functions such that
F"(1) = (3,4,2),
G"(1) = (3,2,0).
Transcribed Image Text:II. Let F and G be vector-valued F(1) = (1,0,2), F'(1) = (1,1,2), G(1) = (2,1,3), G'(1) = (-1, -2,4), Find the following: 1. a vector equation of the tangent line to the graph of F at t = 1. 2. (Go f)'(0) + F"(1) where f(t) = e²t. 3. (F' x G)(1). functions such that F"(1) = (3,4,2), G"(1) = (3,2,0).
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