Consider the curve C between the points (1,0, 1) and (0, 1, 1) at the intersection of the cylinder around the z-axis with radius 1 and the plane z = x + y. Determine the line integral of the one-form w = -y dx + x dy + dz along the curve C.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Consider the curve C between the points (1,0, 1) and (0, 1, 1) at the intersection of the cylinder around the z-axis with radius 1 and the plane z = x + y.
Determine the line integral of the one-form w= -y dx +x dy + dz along the curve C.
Transcribed Image Text:Consider the curve C between the points (1,0, 1) and (0, 1, 1) at the intersection of the cylinder around the z-axis with radius 1 and the plane z = x + y. Determine the line integral of the one-form w= -y dx +x dy + dz along the curve C.
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