Verify the formulaJI „F n ds = JJJ Gdiv F dVin the Divergence Theorem by evaluating the surface integral and the triple integral.F(x, y, 2) = xy i + yzj+xzkwhere o is the surface of the cube bounded by the planesx = 0,x = 2, y = 0,y = 2, z = 0, z = 2.I „F · n dS =JJJ gdiv F dV = i

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Answered: Verify the formula JJI cdiv F dV in the…

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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Verify the formula JJI cdiv F dV in the Divergence Theorem by evaluating the surface integral and the triple integral. F(x, y, z) = xy i+yz j+ xz k where o is the surface of the cube bounded by the planes x = 0,x = 2, y = 0,y = 2, z = 0,z = 2. LF -a ds = i JJI Gdiv F dV = i