Let F(t) = (1, ²,4) and P = (2, 10, 4). Consider the curve C parametrized by F(t). Compute a tangent vector (t), a unit tangent vector ū(t), and the tangent vector of C at the point P. (Note: You can type sqrt for a square root. For example, WeBWork reads sqrt(10t) as √10t.) 7' (1) = ( ]). =( u(t) = Tangent vector at P =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 18T
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Let F(t) = (1, ²,4) and P = (2, 10, 4).
Consider the curve C parametrized by F(t). Compute a tangent vector (t), a unit tangent vector ū(t), and the tangent vector of C at the point P.
(Note: You can type sqrt for a square root. For example, WeBWork reads sqrt(10t) as √10t.)
7' (1) = (
]).
=(
u(t) =
Tangent vector at P =
Transcribed Image Text:Let F(t) = (1, ²,4) and P = (2, 10, 4). Consider the curve C parametrized by F(t). Compute a tangent vector (t), a unit tangent vector ū(t), and the tangent vector of C at the point P. (Note: You can type sqrt for a square root. For example, WeBWork reads sqrt(10t) as √10t.) 7' (1) = ( ]). =( u(t) = Tangent vector at P =
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