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= (x + y², x² - y); R = {(x, y): y² ≤ x ≤ 2 - y²}. 47. F =

= (x + y², x² - y); R = {(x, y): y² ≤ x ≤ 2 - y²}. 47. F =

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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number 47 only please part a and b

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41-48. Circulation and flux For the following vector fields, compute (a) the circulation on, and (b) the outward flux across, the boundary of the given region. Assume boundary curves are oriented counterclockwise. F= (x. v): R is the half-annulus {(r, 0); 1 ≤r≤ 2, 00 S 46. ((r, 0) 3,0 0): 1 ≤ r ≤ 3, qr-annulus π/2}. is the pe ogra < 1}. Rinalflus ..2) tan {(r, 0): 1 ≤ r ≤ 2,0 ≤ 0 ≤ π/4}. 47. F = (x + y², x² - y); R = {(x, y): y² ≤ x ≤ 2 - y²}. n-annulus
Transcribed Image Text:41-48. Circulation and flux For the following vector fields, compute (a) the circulation on, and (b) the outward flux across, the boundary of the given region. Assume boundary curves are oriented counterclockwise. F= (x. v): R is the half-annulus {(r, 0); 1 ≤r≤ 2, 00 S 46. ((r, 0) 3,0 0): 1 ≤ r ≤ 3, qr-annulus π/2}. is the pe ogra < 1}. Rinalflus ..2) tan {(r, 0): 1 ≤ r ≤ 2,0 ≤ 0 ≤ π/4}. 47. F = (x + y², x² - y); R = {(x, y): y² ≤ x ≤ 2 - y²}. n-annulus
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