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 ≤ 1the only true one is:

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Answered: surface is γ(x,y)=(x,y, √(4−x2−y2) with…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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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