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surface is γ(x,y)=(x,y, √(4−x2−y2) with 0≤ x2+y2 ≤ 2. 2. The parameterization of the surface is γ(x,y)=(x,y, √(4−x2−y2) with 0≤ x2+y2 ≤ 1 the only true one is:

surface is γ(x,y)=(x,y, √(4−x2−y2) with 0≤ x2+y2 ≤ 2. 2. The parameterization of the surface is γ(x,y)=(x,y, √(4−x2−y2) with 0≤ x2+y2 ≤ 1 the only true one is:

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.
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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Consider the surface S given by the part of the sphere centered at the origin of radius 2 inside the cylinder x2+y2= 1. of the following statements:

1. The parameterization of the surface is γ(x,y)=(x,y,4−x2−y2) with 0 ≤ x2+ y2 ≤1.
2. The parameterization of the surface is γ(x,y)=(x,y, √(4−x2−y2) with 0≤ x2+y2 ≤ 2.
2. The parameterization of the surface is γ(x,y)=(x,y, √(4−x2−y2) with 0≤ x2+y2 ≤ 1

the only true one is:
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