Consider the curve C which is the intersection of the surfaces shown in the attached figure. If C: r(t) = (x(t), y(t), z(t)), te [a, b] is a parameterization of C, so one possible way to r(t) is A) r(t) = (2 sint, y(t), 3 cost), t€ [0,] B) r(t) = (z(t), 4-cost, 2 sint), te [0, 1] C) r(t) = (3 cost, 4-cost, z(t)), t = [0, 1] D) r(t) = (2 sint, 4+cost, z(t)), te [0, €]

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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Consider the curve C which is the intersection of the surfaces shown
in the attached figure.
z+2-8-0
If C:r(t) = (x(t), y(t), z(t)), te [a, b]. is a parameterization of C, so one
possible way to r(t) is
A) r(t) = (2 sint, y(t), 3 cost), t = [0,]
B) r(t) = (z(t), 4-cost, 2 sint), te [0, 1]
C) r(t) = (3 cost, 4-cost, z(t)), t = [0, 1]
D) r(t) = (2 sint, 4+cost, z(t)), te [0, €]
Transcribed Image Text:Consider the curve C which is the intersection of the surfaces shown in the attached figure. z+2-8-0 If C:r(t) = (x(t), y(t), z(t)), te [a, b]. is a parameterization of C, so one possible way to r(t) is A) r(t) = (2 sint, y(t), 3 cost), t = [0,] B) r(t) = (z(t), 4-cost, 2 sint), te [0, 1] C) r(t) = (3 cost, 4-cost, z(t)), t = [0, 1] D) r(t) = (2 sint, 4+cost, z(t)), te [0, €]
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