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3. Verify the divergence theorem for A = 2xy i – yj + 4xz k taken over the region in the first octant bounded by y2+z2 - 9 and x= 2. Ans. 180 4. Verify V.rdV where (a) S is the sphere of radius 2 with center at (0,0,0), (b) r.n ds = S is the surface bounded by the paraboloid z - 4-( +y) and the xy plane. Ans. (a) 3277 (b) 24 T

3. Verify the divergence theorem for A = 2xy i – yj + 4xz k taken over the region in the first octant bounded by y2+z2 - 9 and x= 2. Ans. 180 4. Verify V.rdV where (a) S is the sphere of radius 2 with center at (0,0,0), (b) r.n ds = S is the surface bounded by the paraboloid z - 4-( +y) and the xy plane. Ans. (a) 3277 (b) 24 T

Advanced Engineering Mathematics
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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Please solve both math. Will upvote 

3. Verify the divergence theorem for bounded by y2+z2 = 9 and x= 2. A = 2x°y i – y? + 4xz° k taken over the region in the first octant Ans. 180 4. Verify r V.rdV where (a) S is the sphere of radius 2 with center at (0,0,0), (b) r.n ds = S is the surface bounded by the paraboloid z - 4-(x + y*) and the xy plane. Ans. (a) 3277 (b) 24 T
Transcribed Image Text:3. Verify the divergence theorem for bounded by y2+z2 = 9 and x= 2. A = 2x°y i – y? + 4xz° k taken over the region in the first octant Ans. 180 4. Verify r V.rdV where (a) S is the sphere of radius 2 with center at (0,0,0), (b) r.n ds = S is the surface bounded by the paraboloid z - 4-(x + y*) and the xy plane. Ans. (a) 3277 (b) 24 T
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