C is the intersection of the cylinder with equation (x-1) + z? = 4 with the plane x + 3y +z = 9 in a counterclockwise orientation from the positive y-axis. Use Stokes' Theorem to convert the line integral %3D $ 2xdx +(xz+v)dy + xzdz to a surface integral. Parametrize the surface integral in appropriate coordinates and proceed until you have an iterated double integral. Do not evaluate the integral.
C is the intersection of the cylinder with equation (x-1) + z? = 4 with the plane x + 3y +z = 9 in a counterclockwise orientation from the positive y-axis. Use Stokes' Theorem to convert the line integral %3D $ 2xdx +(xz+v)dy + xzdz to a surface integral. Parametrize the surface integral in appropriate coordinates and proceed until you have an iterated double integral. Do not evaluate the integral.
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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Transcribed Image Text:C is the intersection of the cylinder with equation (x-1) + z? = 4 with the plane x + 3y +z
= 9 in a counterclockwise orientation from the positive y-axis. Use Stokes' Theorem to
convert the line integral
%3D
S 2xdx +(xz +y)dy + xzdz
to a surface integral. Parametrize the surface integral in appropriate coordinates and
proceed until you have an iterated double integral. Do not evaluate the integral.
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