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Let F and G be vector-valued F(1) = (1,0,2), F'(1) = (1,1,2), Ģ(1) = (2,1,3), G'(1) = (-1, -2, 4), Find the following: 1. a vector equation of the tangent line to the graph of ♬ at t = 1. 2. (Ğ○ ƒ)'(0) + Ē″(1) where f(t) = e²t. 3. (F' × Ģ)'(1). functions such that F" (1) = (3, 4, 2), G"(1) = (3,2,0).

Let F and G be vector-valued F(1) = (1,0,2), F'(1) = (1,1,2), Ģ(1) = (2,1,3), G'(1) = (-1, -2, 4), Find the following: 1. a vector equation of the tangent line to the graph of ♬ at t = 1. 2. (Ğ○ ƒ)'(0) + Ē″(1) where f(t) = e²t. 3. (F' × Ģ)'(1). functions such that F" (1) = (3, 4, 2), G"(1) = (3,2,0).

Advanced Engineering Mathematics
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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Let F and Ģ be vector-valued functions such that Ē(1) = (1,0, 2), Ē'(1) = (1,1,2), Ģ(1) = (2,1,3), Ģʻ(1) = (−1, −2, 4), Find the following: 1. a vector equation of the tangent line to the graph of ♬ at t = 1. 2. (Ğ○ ƒ)'(0) + Ē″(1) where ƒ(t) = e²t. 3. (F' × Ģ)'(1). F"(1) = (3, 4, 2), G"(1) = (3, 2, 0).
Transcribed Image Text:Let F and Ģ be vector-valued functions such that Ē(1) = (1,0, 2), Ē'(1) = (1,1,2), Ģ(1) = (2,1,3), Ģʻ(1) = (−1, −2, 4), Find the following: 1. a vector equation of the tangent line to the graph of ♬ at t = 1. 2. (Ğ○ ƒ)'(0) + Ē″(1) where ƒ(t) = e²t. 3. (F' × Ģ)'(1). F"(1) = (3, 4, 2), G"(1) = (3, 2, 0).
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