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Find a parameterization of the paraboloid 64z = 4x² + 16y2, zs 1. Choose the correct parameterization. A. r(u,v) = (4v cos u)i + (2v sin u)j + (v²) k, 0sus 2, 0 sv≤1 OB. r(u,v) = (4 cos u)i + (2 sin u)j + (v²) k, 0≤u≤ 1, 0≤v≤2 OC. r(u,v) = (4v cos u)i + (2v sin u)j + (v²)k, 0≤u≤ 1, 0≤v≤ 2 O D. r(u,v) = (4 cos u)i + (2 sin u)j + (v²)k, Osus2, 0≤vs1 ...

Find a parameterization of the paraboloid 64z = 4x² + 16y2, zs 1. Choose the correct parameterization. A. r(u,v) = (4v cos u)i + (2v sin u)j + (v²) k, 0sus 2, 0 sv≤1 OB. r(u,v) = (4 cos u)i + (2 sin u)j + (v²) k, 0≤u≤ 1, 0≤v≤2 OC. r(u,v) = (4v cos u)i + (2v sin u)j + (v²)k, 0≤u≤ 1, 0≤v≤ 2 O D. r(u,v) = (4 cos u)i + (2 sin u)j + (v²)k, Osus2, 0≤vs1 ...

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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Find the counterclockwise circulation and outward flux of the field F = 6xyi + 2y2j around and over the boundary of the region C enclosed by the curves y = x² and y=x in the first quadrant. The counterclockwise circulation is. (Type an integer or a simplified fraction.) The outward flux is. (Type an integer or a simplified fraction.)
Transcribed Image Text:Find the counterclockwise circulation and outward flux of the field F = 6xyi + 2y2j around and over the boundary of the region C enclosed by the curves y = x² and y=x in the first quadrant. The counterclockwise circulation is. (Type an integer or a simplified fraction.) The outward flux is. (Type an integer or a simplified fraction.)
Find a parameterization of the paraboloid 64z = 4x² + 16y2, zs 1. Choose the correct parameterization. O A. r(u,v) = (4v cos u)i + (2v sin u)j + (v²)k, 0≤u≤ 2, 0≤v≤1 r(u,v) = (4 cos u)i + (2 sin u)j + (v²) k, 0≤u≤ 1,0 ≤v≤ 2 OC. r(u,v) = (4v cos u)i + (2v sin u)j + (v²)k, 0≤u≤ 1, 0≤v≤ 2 B. O D. r(u, v) = (4 cos u)i + (2 sin u)j + (v²)k, 0≤u≤2, 0≤v≤1
Transcribed Image Text:Find a parameterization of the paraboloid 64z = 4x² + 16y2, zs 1. Choose the correct parameterization. O A. r(u,v) = (4v cos u)i + (2v sin u)j + (v²)k, 0≤u≤ 2, 0≤v≤1 r(u,v) = (4 cos u)i + (2 sin u)j + (v²) k, 0≤u≤ 1,0 ≤v≤ 2 OC. r(u,v) = (4v cos u)i + (2v sin u)j + (v²)k, 0≤u≤ 1, 0≤v≤ 2 B. O D. r(u, v) = (4 cos u)i + (2 sin u)j + (v²)k, 0≤u≤2, 0≤v≤1
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