Let r(u, v)= [2usin(v), 2ucos(v), 2] be a parametrization of a surface S, where 0sus3,0svs2n. Then we have O A. S is a cylinder of radius 2 and the normal vector is N= [0, 0, -4u]. O B. S is a disc of radius 6 and the normal vector is N= [4u, 0, 0]. O C. S is a cylinder of radius 2 and the normal vector is N= [4u, 0, 0]. O D. S is a disc of radius 6 and the normal vector is N= [0, 0, -4u].

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Let r(u, v)= [2usin(v), 2ucos(v), 2] be a parametrization of a surface S, where 0sus3,0svs2n. Then we
have
O A. S is acylinder of radius 2 and the normal vector is N= [0, 0, -4u].
O B. S is a disc of radius 6 and the normal vector is N= [4u, 0, 0].
O C. S is a cylinder of radius 2 and the normal vector is N= [4u, 0, 0].
O D. S is a disc of radius 6 and the normal vector is N= [0, 0, -4u].
%3D
Transcribed Image Text:Let r(u, v)= [2usin(v), 2ucos(v), 2] be a parametrization of a surface S, where 0sus3,0svs2n. Then we have O A. S is acylinder of radius 2 and the normal vector is N= [0, 0, -4u]. O B. S is a disc of radius 6 and the normal vector is N= [4u, 0, 0]. O C. S is a cylinder of radius 2 and the normal vector is N= [4u, 0, 0]. O D. S is a disc of radius 6 and the normal vector is N= [0, 0, -4u]. %3D
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