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A circle C in the plane x + y + z= -6 has a radius of 6 and center (- 2, - 3, - 1). Evaluate F•dr for F = (0,4z, - y), where C has counterclockwise orientation whe viewed from above. Does the circulation depend on the radius of the circle? Does it depend on the location of the center of the circle? F•dr=O (Type an exact answer, using a as needed.)

A circle C in the plane x + y + z= -6 has a radius of 6 and center (- 2, - 3, - 1). Evaluate F•dr for F = (0,4z, - y), where C has counterclockwise orientation whe viewed from above. Does the circulation depend on the radius of the circle? Does it depend on the location of the center of the circle? F•dr=O (Type an exact answer, using a as needed.)

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= - 6 has a radius of 6 and center (- 2, - 3, – 1). Evaluate F•dr for F = (0,4z, - y), where C has counterclockwise orientation wher viewed from above. Does the circulation depend on the radius of the circle? Does it depend on the location of the center of the circle? $. F•dr = (Type an exact answer, using a as needed.)
Transcribed Image Text:A circle C in the plane x + y +z= - 6 has a radius of 6 and center (- 2, - 3, – 1). Evaluate F•dr for F = (0,4z, - y), where C has counterclockwise orientation wher viewed from above. Does the circulation depend on the radius of the circle? Does it depend on the location of the center of the circle? $. F•dr = (Type an exact answer, using a as needed.)
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