Given F(x,y,z) = < 3xz, yz, xz > and C is the boundary of the portion of the plane x + 2y + z = 4 in the first octant traveresed counterclockwise. Use the parameterization r(u,v) = < u, v, 4 - u - 2v > for the plane. a) Find the normal vecot n for the given parameterization. b) FInd the curl of F c) Use Stokes' Theorem to set up to find the integral of Fdr
Given F(x,y,z) = < 3xz, yz, xz > and C is the boundary of the portion of the plane x + 2y + z = 4 in the first octant traveresed counterclockwise. Use the parameterization r(u,v) = < u, v, 4 - u - 2v > for the plane. a) Find the normal vecot n for the given parameterization. b) FInd the curl of F c) Use Stokes' Theorem to set up to find the integral of Fdr
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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Given F(x,y,z) = < 3xz, yz, xz > and C is the boundary of the portion of the plane x + 2y + z = 4 in the first octant traveresed counterclockwise.
Use the parameterization r(u,v) = < u, v, 4 - u - 2v > for the plane.
a) Find the normal vecot n for the given parameterization.
b) FInd the curl of F
c) Use Stokes' Theorem to set up to find the integral of Fdr
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