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Give conditions on the constants a, b, c to ensure that the flux integral [· dà is positive for F = a +b] +ck and S is a disk perpendicular to the y-axis, through (0, 3,0) and oriented away from the origin. Ob > 0, but there are no conditions on a and c. O b = 0, but there are no conditions on a and c. O b < 0, but there are no conditions on a and c. Ob>0, and a > c. Ob> a+c, and a > 0 and c > 0.

Give conditions on the constants a, b, c to ensure that the flux integral [· dà is positive for F = a +b] +ck and S is a disk perpendicular to the y-axis, through (0, 3,0) and oriented away from the origin. Ob > 0, but there are no conditions on a and c. O b = 0, but there are no conditions on a and c. O b < 0, but there are no conditions on a and c. Ob>0, and a > c. Ob> a+c, and a > 0 and c > 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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Give conditions on the constants a, b, c to ensure that the flux integral[. dà is positive for F = aỉ +b] + ck and S' isa disk perpendicular to the y-axis, through (0, 3, 0) and oriented away from the origin. Ob > 0, but there are no conditions on a and c. O b = 0, but there are no conditions on a and c. O b < 0, but there are no conditions on a and c. Ob > 0, and a > c. Ob> a+c, and a > 0 and c > 0.
Transcribed Image Text:Give conditions on the constants a, b, c to ensure that the flux integral[. dà is positive for F = aỉ +b] + ck and S' isa disk perpendicular to the y-axis, through (0, 3, 0) and oriented away from the origin. Ob > 0, but there are no conditions on a and c. O b = 0, but there are no conditions on a and c. O b < 0, but there are no conditions on a and c. Ob > 0, and a > c. Ob> a+c, and a > 0 and c > 0.
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