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Sketch the three projections of F(t) = (3 sint, ,3 cost) onto the ry-, yz-, zz-planes. Parametrize the intersection of the surfaces 4x² + 4y² + ² = 16 and z = 2² using the parameter z = t.

Sketch the three projections of F(t) = (3 sint, ,3 cost) onto the ry-, yz-, zz-planes. Parametrize the intersection of the surfaces 4x² + 4y² + ² = 16 and z = 2² using the parameter z = t.

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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1. Sketch the three projections of r(t) = (3 sint,,3 cost) onto the ry-, yz-, zz-planes. 2. Parametrize the intersection of the surfaces 4x² + 4y² + z² = 16 and z = 22 using the parameter z = t.
Transcribed Image Text:1. Sketch the three projections of r(t) = (3 sint,,3 cost) onto the ry-, yz-, zz-planes. 2. Parametrize the intersection of the surfaces 4x² + 4y² + z² = 16 and z = 22 using the parameter z = t.
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