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Let F and G be vector-valued functions such that F(t) = (cos(nt), e²t-1, t² – 1), Ġ(1) = (1, 1, – 1), Ğ'(1) = (2,3, 2), Ğ"(1) = (0,1,0) i. Find a vector equation of the tangent line to the graph of F at (-1, e, 0). ii. Evaluate (F · G)'(1). iii. Evaluate (G x G')'(1). %3D

Let F and G be vector-valued functions such that F(t) = (cos(nt), e²t-1, t² – 1), Ġ(1) = (1, 1, – 1), Ğ'(1) = (2,3, 2), Ğ"(1) = (0,1,0) i. Find a vector equation of the tangent line to the graph of F at (-1, e, 0). ii. Evaluate (F · G)'(1). iii. Evaluate (G x G')'(1). %3D

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 78E
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Let F and G be vector-valued functions such that F(t) = (cos(nt), e²t-1, t² – 1), Ġ(1) = (1, 1, – 1), Ğ'(1) = (2,3, 2), Ġ"(1) = (0,1,0) i. Find a vector equation of the tangent line to the graph of F at (-1, e,0). ii. Evaluate (F · G)'(1). iii. Evaluate (G x G')'(1). d'(1) = (2,3, 2), Ğ"(1) = (0,1,0) %3D
Transcribed Image Text:Let F and G be vector-valued functions such that F(t) = (cos(nt), e²t-1, t² – 1), Ġ(1) = (1, 1, – 1), Ğ'(1) = (2,3, 2), Ġ"(1) = (0,1,0) i. Find a vector equation of the tangent line to the graph of F at (-1, e,0). ii. Evaluate (F · G)'(1). iii. Evaluate (G x G')'(1). d'(1) = (2,3, 2), Ğ"(1) = (0,1,0) %3D
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