Verify the formula J.F., F.ndS= =JJJ₂ div div F dV G in the Divergence Theorem by evaluating the surface integral and the triple integral. F(x, y, z) = 2xi – yzj + z²k where is the paraboloid z = x² + y² capped by the disk x² + y² ≤ 16 in the plane z = 16. // F F.ndS= JJJ div F dV -

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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Verify the formula
J.F.,
F.ndS=
=JJJ₂ div
div F dV
G
in the Divergence Theorem by evaluating the surface integral and the
triple integral.
F(x, y, z) = 2xi – yzj + z²k
where is the paraboloid z = x² + y² capped by the disk x² + y² ≤ 16
in the plane z = 16.
// F
F.ndS=
JJJ
div F dV
-
Transcribed Image Text:Verify the formula J.F., F.ndS= =JJJ₂ div div F dV G in the Divergence Theorem by evaluating the surface integral and the triple integral. F(x, y, z) = 2xi – yzj + z²k where is the paraboloid z = x² + y² capped by the disk x² + y² ≤ 16 in the plane z = 16. // F F.ndS= JJJ div F dV -
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