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
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Answer both and answer only
![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.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F50406375-c106-4290-890a-56c43ddee553%2F7aed745b-f7b8-4855-ab56-56842a547fc2%2Fbvs3m6f_processed.jpeg&w=3840&q=75)
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F50406375-c106-4290-890a-56c43ddee553%2F7aed745b-f7b8-4855-ab56-56842a547fc2%2Fo30adif_processed.jpeg&w=3840&q=75)
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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