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

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter9: Surfaces And Solids

Section9.CT: Test

Problem 8CT: Determine whether the statement is true or false. a A right circular cone has exactly two bases. b...

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