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Let S be a surface defined as the part of the paraboloid z = x² + y? that lies below the plane z = 4, oriented upward. Which of the following is a parametrization of the surface S? x = 2 cos 0, y = 2 sin 0 , z = 2, 0 < 0 < 2n A x = r cos 0 , y =r sin 0 , z = r, 0

Let S be a surface defined as the part of the paraboloid z = x² + y? that lies below the plane z = 4, oriented upward. Which of the following is a parametrization of the surface S? x = 2 cos 0, y = 2 sin 0 , z = 2, 0 < 0 < 2n A x = r cos 0 , y =r sin 0 , z = r, 0

Advanced Engineering Mathematics
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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Let S be a surface defined as the part of the paraboloid z = x² + y? that lies below the plane z = 4, oriented upward. Which of the following is a parametrization of the surface S? x = 2 cos 0, y = 2 sin 0 , z = 2, 0 < 0 < 2n A x = r cos 0 , y =r sin 0 , z = r, 0<r < 4, 0 < 0 < 2n B x = cos 0, y = sin 0 , z = r², 0 <r< 2, 0< 0 < A x = r cos 0 , y = r sin 0 , z = rt, 0 <r< 2, 0 < 0 < 2n D x = 4 cos 0, y = 4 sin 0 , z = r, 0 <r< 4, 0 < 0 < 2n E VI
Transcribed Image Text:Let S be a surface defined as the part of the paraboloid z = x² + y? that lies below the plane z = 4, oriented upward. Which of the following is a parametrization of the surface S? x = 2 cos 0, y = 2 sin 0 , z = 2, 0 < 0 < 2n A x = r cos 0 , y =r sin 0 , z = r, 0<r < 4, 0 < 0 < 2n B x = cos 0, y = sin 0 , z = r², 0 <r< 2, 0< 0 < A x = r cos 0 , y = r sin 0 , z = rt, 0 <r< 2, 0 < 0 < 2n D x = 4 cos 0, y = 4 sin 0 , z = r, 0 <r< 4, 0 < 0 < 2n E VI
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