Let 7(t) = (3 cos(t), 3 sin(t), 3t) and P = (3, 0,6). Consider the curve c parametrized by F(t). Compute a tangent vector (1), 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 = (1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
Let 7(t) = (3 cos(t), 3 sin(t), 3t) and P = (3, 0,6).
Consider the curve C parametrized by 7(1). 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 =
(1
Transcribed Image Text:Let 7(t) = (3 cos(t), 3 sin(t), 3t) and P = (3, 0,6). Consider the curve C parametrized by 7(1). 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 = (1
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