3) 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)), t ≤ [a, b], is a parameterization of C, so one possible way to r(t) is: X A) r(t) = (2 cost, 1+4 cost, z(t)), t€ [0, 1] B) r(t) = (x(t), 4+4 cost, 3 sint), t€ [0, 1] C) r(t) = (3 sint, y(t), 2 cost), t = [0, €] D) r(t) = (2 cost, 4+4 cost, z(t)), t€ [0, 1] 4 = 1 2 с 52 21 = 0 Y
3) 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)), t ≤ [a, b], is a parameterization of C, so one possible way to r(t) is: X A) r(t) = (2 cost, 1+4 cost, z(t)), t€ [0, 1] B) r(t) = (x(t), 4+4 cost, 3 sint), t€ [0, 1] C) r(t) = (3 sint, y(t), 2 cost), t = [0, €] D) r(t) = (2 cost, 4+4 cost, z(t)), t€ [0, 1] 4 = 1 2 с 52 21 = 0 Y
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.6: The Three-dimensional Coordinate System
Problem 41E: Does the sphere x2+y2+z2=100 have symmetry with respect to the a x-axis? b xy-plane?
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