3. Consider the equation for a sphere Si given by 2x2 + 16x + 2y? – 18y + 22 = 20z – 22 (a) Find the center and radius of the sphere S1. (b) Let S2 be the sphere that results from shifting S1 2 in the x direction, 3 in the y direction, and -5 in the z direction, and increases the diameter by 4. Write the equation of, and graph S2.

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
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3. Consider the equation for a sphere Si given by 2x2 + 16x + 2y? – 18y + 2² =
20z – 22
(a) Find the center and radius of the sphere S1.
(b) Let S2 be the sphere that results from shifting S1 2 in the x direction, 3 in
the y direction, and -5 in the z direction, and increases the diameter by
4. Write the equation of, and graph S2.
Transcribed Image Text:3. Consider the equation for a sphere Si given by 2x2 + 16x + 2y? – 18y + 2² = 20z – 22 (a) Find the center and radius of the sphere S1. (b) Let S2 be the sphere that results from shifting S1 2 in the x direction, 3 in the y direction, and -5 in the z direction, and increases the diameter by 4. Write the equation of, and graph S2.
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