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A circle C in the plane x+y+z= -1 has a radius of 3 and center (2,0, - 3). Evaluate F.dr for F = (0,4z,3y), where C has counterclockwise orientation when depend on the location of the center of the circle? .... F•dr = C (Type an exact answer, using x as needed.) Does the circulation depend on the radius of the circle? O A. Yes. The circulation is inversely proportional to the square of the radius. O B. Yes. The circulation is proportional to the radius. O C. Yes. The circulation is inversely proportional to the radius. O D. No. The circulation does not change with the radius. O E. Yes. The circulation is proportional to the square of the radius. Does the circulation depend on the location of the center of the circle? O A. No. The circulation does not change when the circle moves in the plane. O B. Yes. The circulation changes linearly with x. O C. Yes. The circulation has a complex relationship with the location of the circle. D. Yes. The circulation changes linearly with y. O E. Yes. The circulation changes linearly with z.

A circle C in the plane x+y+z= -1 has a radius of 3 and center (2,0, - 3). Evaluate F.dr for F = (0,4z,3y), where C has counterclockwise orientation when depend on the location of the center of the circle? .... F•dr = C (Type an exact answer, using x as needed.) Does the circulation depend on the radius of the circle? O A. Yes. The circulation is inversely proportional to the square of the radius. O B. Yes. The circulation is proportional to the radius. O C. Yes. The circulation is inversely proportional to the radius. O D. No. The circulation does not change with the radius. O E. Yes. The circulation is proportional to the square of the radius. Does the circulation depend on the location of the center of the circle? O A. No. The circulation does not change when the circle moves in the plane. O B. Yes. The circulation changes linearly with x. O C. Yes. The circulation has a complex relationship with the location of the circle. D. Yes. The circulation changes linearly with y. O E. Yes. The circulation changes linearly with z.

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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A circle C in the plane x+y +z= -1 has a radius of 3 and center (2,0, -3). Evaluate F dr for F= (0,4z,3y), where C has counterclockwise orientation when vie depend on the location of the center of the circle? F•dr = (Type an exact answer, usingn as needed.) Does the circulation depend on the radius of the circle? A. Yes. The circulation is inversely proportional to the square of the radius. B. Yes. The circulation is proportional to the radius. C. Yes. The circulation is inversely proportional the radius. D. No. The circulation does not change with the radius. E. Yes. The circulation is proportional to the square of the radius. Does the circulation depend on the location of the center of the circle? A. No. The circulation does not change when the circle moves in the plane. B. Yes. The circulation changes linearly with x. O C. Yes. The circulation has a complex relationship with the location of the circle. D. Yes. The circulation changes linearly with y. O E. Yes. The circulation changes linearly with z. O O O OO
Transcribed Image Text:A circle C in the plane x+y +z= -1 has a radius of 3 and center (2,0, -3). Evaluate F dr for F= (0,4z,3y), where C has counterclockwise orientation when vie depend on the location of the center of the circle? F•dr = (Type an exact answer, usingn as needed.) Does the circulation depend on the radius of the circle? A. Yes. The circulation is inversely proportional to the square of the radius. B. Yes. The circulation is proportional to the radius. C. Yes. The circulation is inversely proportional the radius. D. No. The circulation does not change with the radius. E. Yes. The circulation is proportional to the square of the radius. Does the circulation depend on the location of the center of the circle? A. No. The circulation does not change when the circle moves in the plane. B. Yes. The circulation changes linearly with x. O C. Yes. The circulation has a complex relationship with the location of the circle. D. Yes. The circulation changes linearly with y. O E. Yes. The circulation changes linearly with z. O O O OO
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