Use a CAS to plot the surfaces in Exercises 53–55. Identify the type of quadric surface from your graph. 53. x2 /9 + y2/ 36 = 1 - z2/25 54. 5x2 = z2 - 3y2 55. x2 /9 - 1 = y2 /16 + z2/ 2

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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Use a CAS to plot the surfaces in Exercises 53–55. Identify the type of quadric surface from your graph.

53. x2 /9 + y2/ 36 = 1 - z2/25

54. 5x2 = z2 - 3y2

55. x2 /9 - 1 = y2 /16 + z2/ 2

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