For the vector field (x2,0₁ - 2x² -z²), evaluate its line integral along the closed curve, made by the two curves described below: First curve is a half- circle with Z=0 in (x,y)- plane, with center 0₁ radius R = 3 beginning from the point A = (3₁0,0), and running in counter clockwise direction. The second Curve is a segment of line from (-3,0,0) back to A = (3₁0,0)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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For the vector field (x2₁0, - 2x² -z²), evaluate
its line integral along the closed curve, made by
the two curves described below:
First curve is a half - circle with z=0 in (x, y)-
plane, with center 0₁ radius R = 3 beginning from
the point A= (3₁0,0), and running in counter clockwise
direction. The second curve is a segment of line
from (-3,0,0) back to A = (3₁0,0)
Transcribed Image Text:For the vector field (x2₁0, - 2x² -z²), evaluate its line integral along the closed curve, made by the two curves described below: First curve is a half - circle with z=0 in (x, y)- plane, with center 0₁ radius R = 3 beginning from the point A= (3₁0,0), and running in counter clockwise direction. The second curve is a segment of line from (-3,0,0) back to A = (3₁0,0)
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