F. dr where C is oriented counterclockwise as viewed from above.JcUse Stokes' Theorem to evaluateF(x, y, z) = i + (x + yz)j + (xy – Vz)k,C is the boundary of the part of the plane 5x + 4y + z = 1 in the first octant.

Given that Fx,y,z=i+x+yzj+xy-zk and C is the boundary of the part of the plane 5x+4y+z=1 in the…

Answered: Use Stokes' Theorem to evaluate F. dr…

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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Evaluate F-dī where F(x, y, z)=li +(x+yz)j+(xy-Vz )k and C is the boundary of the part of the plane 3x+2y+z=6 in the first octant. C is a positively oriented curve.
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5. Let F(x, y, z) = -y²i+xj+z²k, and let the curve C be the intersection of the paraboloid z = r² + y² with the plane z = 20-2x - 4y, oriented counter-clockwise when viewed from above. Evaluate F. dr by
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Use Stokes' Theorem to evaluate F. dr where C is oriented counterclockwise as viewed from above. F(x, y, z) = I + (x + yz)j + (xy – Vz)k, C is the boundary of the part of the plane 5x + 4y + z = 1 in the first octant.