Use the Divergence Theorem to calculate the surface integral ffs F - dS where F(x,y, z)=xyzi+xyzj+xyzk and S is the surface of the box enclosed by the planes x=-2, x = 6, y =-1 y = 4, z = 0 and z =9 O 1,688 O 10,125 O 6,750 O-3,375 O 5,063

Use the Divergence Theorem to calculate the surface integral ffs F - dS where F(x,y, z)=xyzi+xyzj+xyzk and S is the surface of the box enclosed by the planes x=-2, x = 6, y =-1 y = 4, z = 0 and z =9 O 1,688 O 10,125 O 6,750 O-3,375 O 5,063

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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Question

Use the Divergence Theorem to calculate the surface integral ffs F - dS where F(x,y, z)=xyzi+xyzj+xyzk and S is the surface of the box enclosed by the planes x=-2, x = 6, y =-1
y = 4, z = 0 and z=9
O 1,688
O 10,125
O 6,750
O -3,375
O 5,063

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