The Cornu spiral is the plane curve r(t) = (x(t), y(t)), where u2 u? x(1) = sin du, y(1) = cos du 2 Verify that « (t) = |t|. Since the curvature increases linearly, the Cornu spiral is used in highway design to create transitions between straight and curved road segments (Figure FIGURE Cornu spiral.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
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Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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The Cornu spiral is the plane curve r(t) = (x(t), y(t)), where
u2
u?
x(1) =
sin
du,
y(1) =
cos
du
2
Verify that « (t) = |t|. Since the curvature increases linearly, the Cornu
spiral is used in highway design to create transitions between straight
and curved road segments (Figure
FIGURE
Cornu spiral.
Transcribed Image Text:The Cornu spiral is the plane curve r(t) = (x(t), y(t)), where u2 u? x(1) = sin du, y(1) = cos du 2 Verify that « (t) = |t|. Since the curvature increases linearly, the Cornu spiral is used in highway design to create transitions between straight and curved road segments (Figure FIGURE Cornu spiral.
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