(4.xz, y², yz) over the surface of the cube defined by the set of (x, y, z) satisfying 0 < x < 1, 0 < y< 1, 0 < z < 1. 1. (a) Verify the divergence theorem for the vector field F= (b) Evaluate the surface integral f f,F· ndS, where F(x,y, z) = (1, 1, z(x² +y²)²) and S is the surface of the cylinder x2 + y? < 1, 0 < z < 1, including the sides and both lids.
(4.xz, y², yz) over the surface of the cube defined by the set of (x, y, z) satisfying 0 < x < 1, 0 < y< 1, 0 < z < 1. 1. (a) Verify the divergence theorem for the vector field F= (b) Evaluate the surface integral f f,F· ndS, where F(x,y, z) = (1, 1, z(x² +y²)²) and S is the surface of the cylinder x2 + y? < 1, 0 < z < 1, including the sides and both lids.
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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