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2. Let r(t) = sin(e)i + e'j + cos(e)k. Find the unit tangent vector, T(t). Simplify fully!

2. Let r(t) = sin(e)i + e'j + cos(e)k. Find the unit tangent vector, T(t). Simplify fully!

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 20E
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Solve the entire question. Don't solve it partially. Else leave it. 

2. Let r(t) = sin(e)i + e'j + cos(e)k. (a) (b) (c) Find the unit tangent vector, T(t). Simplify fully! Find the principal unit normal vector, N(t). Compute the curvature, k(t). Suggestion: It may be easiest to use a formula involving T' and r' as you've computed these already.
Transcribed Image Text:2. Let r(t) = sin(e)i + e'j + cos(e)k. (a) (b) (c) Find the unit tangent vector, T(t). Simplify fully! Find the principal unit normal vector, N(t). Compute the curvature, k(t). Suggestion: It may be easiest to use a formula involving T' and r' as you've computed these already.
The graphs of two functions are shown labeled A (red) and B (blue) below. One is the graph of a plane curve y = f(x) and the other is a graph of its corresponding curvature function x(x). Determine which is which and briefly explain how it is you can tell. 2+ B
Transcribed Image Text:The graphs of two functions are shown labeled A (red) and B (blue) below. One is the graph of a plane curve y = f(x) and the other is a graph of its corresponding curvature function x(x). Determine which is which and briefly explain how it is you can tell. 2+ B
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