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where F(r, y, z) = 3yzi + zzj + 3ezk and C is the circle ? + y? 1, z = 4 oriented counterclockwise as viewed from above. Since the circle is oriented counterclockwise as viewed from above the surface we attach to the circle is oriented ? curl F = Σ The easiest surface to attach to this curve is the disk a? + y? < 1, z = 4. Using this surface in Stokes' Theorem evaluate the following. F. dr = Σ dy da where Y1 = Y2 = Σ Σ Σ Evaluate F- dr = Σ M M M M

where F(r, y, z) = 3yzi + zzj + 3ezk and C is the circle ? + y? 1, z = 4 oriented counterclockwise as viewed from above. Since the circle is oriented counterclockwise as viewed from above the surface we attach to the circle is oriented ? curl F = Σ The easiest surface to attach to this curve is the disk a? + y? < 1, z = 4. Using this surface in Stokes' Theorem evaluate the following. F. dr = Σ dy da where Y1 = Y2 = Σ Σ Σ Evaluate F- dr = Σ M M M M

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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Use Stokes' Theorem to evaluate F. dr where F(r, y, z) 3yzi + xzj + 3ezk and C is the circle a? + y? = 1, z = 4 oriented counterclockwise as viewed from above. Since the circle is oriented counterclockwise as viewed from above the surface we attach to the circle is oriented ? curl F = Σ The easiest surface to attach to this curve is the disk x2 + u? < 1, z = 4. Using this surface in Stokes' Theorem evaluate the following. F. dr = Σ dy da where Y1 = Y2 = Σ Σ Evaluate F- dr = Σ M M M M
Transcribed Image Text:Use Stokes' Theorem to evaluate F. dr where F(r, y, z) 3yzi + xzj + 3ezk and C is the circle a? + y? = 1, z = 4 oriented counterclockwise as viewed from above. Since the circle is oriented counterclockwise as viewed from above the surface we attach to the circle is oriented ? curl F = Σ The easiest surface to attach to this curve is the disk x2 + u? < 1, z = 4. Using this surface in Stokes' Theorem evaluate the following. F. dr = Σ dy da where Y1 = Y2 = Σ Σ Evaluate F- dr = Σ M M M M
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