Let f(x,y, z) x² + y² + z² < v?. = ax + By? + yz and S is the boundary surface of the solid sphere (a) Evaluate directly / | f(x, y, z)dS. f(7, 4, (b) Repeat part (a) using Divergence Theorem. You will need to find a vector field F such that F n = f(x,y, z).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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alpha=2

beta=6

gamma=15

3. Let f(x, y, z)
x² + y? + 2? < y².
= ax + By? + yz and S is the boundary surface of the solid sphere
(a) Evaluate directly /| f(x, y, z)dS.
(b) Repeat part (a) using Divergence Theorem. You will need to find a vector field
F such that F.n = f(x, y, z).
Transcribed Image Text:3. Let f(x, y, z) x² + y? + 2? < y². = ax + By? + yz and S is the boundary surface of the solid sphere (a) Evaluate directly /| f(x, y, z)dS. (b) Repeat part (a) using Divergence Theorem. You will need to find a vector field F such that F.n = f(x, y, z).
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