A circle C in the plane x+y +z= - 6 has a radius of 6 and...

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A circle C in the plane x+y +z= - 6 has a radius of 6 and center (- 2, - 1,- 3). Evaluate F•dr for F = (0, - 2z, - y), where C has counterclockwise orientation C when 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 = C (Type an exact answer, using n as needed.) Does the circulation depend on the radius of the circle? O A. Yes. The circulation is proportional to the square of the radius. B. No. The circulation does not change with the radius. C. Yes. The circulation is inversely proportional to the square of the radius. D. Yes. The circulation is proportional to the radius. E. Yes. The circulation is inversely proportional to 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. B. Yes. The circulation changes linearly with y. O C. Yes. The circulation has a complex relationship with the location of the circle. O D. Yes. The circulation changes linearly with x. E. Yes. The circulation changes linearly with z. O O O A circle C in the plane x+y +z= - 6 has a radius of 6 and center (- 2, - 1,- 3). Evaluate F•dr for F = (0, - 2z, - y), where C has counterclockwise orientation C when 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 = C (Type an exact answer, using n as needed.) Does the circulation depend on the radius of the circle? O A. Yes. The circulation is proportional to the square of the radius. B. No. The circulation does not change with the radius. C. Yes. The circulation is inversely proportional to the square of the radius. D. Yes. The circulation is proportional to the radius. E. Yes. The circulation is inversely proportional to 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. B. Yes. The circulation changes linearly with y. O C. Yes. The circulation has a complex relationship with the location of the circle. O D. Yes. The circulation changes linearly with x. E. Yes. The circulation changes linearly with z. O O O