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3. Consider A(r) = (y, -x,0), and the line integral A• dr along the C boundary of the plane x + y + z = 1 in the first octant, oriented as shown in Figure 2. Convert the line integral into a surface integral through Stokes' Theorem, then evaluate the surface integral.

3. Consider A(r) = (y, -x,0), and the line integral A• dr along the C boundary of the plane x + y + z = 1 in the first octant, oriented as shown in Figure 2. Convert the line integral into a surface integral through Stokes' Theorem, then evaluate the surface integral.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 18T
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3. Consider A(r) = (y, –x, 0), and the line integral Ø A• dr along the C boundary of the plane x + y + z = 1 in the first octant, oriented as shown in Figure 2. Convert the line integral into a surface integral through Stokes' Theorem, then evaluate the surface integral. Figure 1 Figure 2
Transcribed Image Text:3. Consider A(r) = (y, –x, 0), and the line integral Ø A• dr along the C boundary of the plane x + y + z = 1 in the first octant, oriented as shown in Figure 2. Convert the line integral into a surface integral through Stokes' Theorem, then evaluate the surface integral. Figure 1 Figure 2
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