The vector fell F (xx,Z)= (zL,2oxy"6) n.Calculate, using the stokes theorem, the sur faceintegral) Vx F.ñda, where s is the surtaceX + 4y'+42°=6, x7,-8 and ñ is the unitexteriorvertical vector on the surda le S%3D

Given that Fx,y,z=z2−1, z+xy3,6 To evaluate the integral ∫∫S∇×FndS using the stokes theorem.

Answered: The vector tell f (xxz) = (z=+,2oxy"6)…

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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The force exerted by an electric charge at the origin on a charged particle at the point (z, y, z) with position vector = (2, y, z) is F(F) = Kr where K is constant. Assume K 20. Find the work done as the particle moves along a straight line from (2,0,0) to (2,3,5). Question Help: DVideo M Message instructor D Post to forum Add Work Submit Question
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The force exerted by an electric charge at the origin on a charged particle at a point (x, .) with position vector (K, y. ) is F) = Kr/ir whene K a cinstit the work done as the particle moves along a straight be from (2, 0, 0) to (2. 2, 3). 0.257k
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The vector tell f (xxz) = (z=+,2oxy"6) igven. Calkulate, using the stores theorem, the surface integral Integrat SC oxfinda, where s is the surtace x+ 4y's 4z²= 6, vertical vector on the surface s. 67,-8 and ñ is the unitexterior