Integrate the function (ಠ+ y²) ½ over the region E that is bounded by the xy plane below and above by the paraboloid 3 – x² - y² using cylindrical coordinates. where A = E = F The value of the integral is B = [1] E [[[₁₂ (2² + y²) i dv= E and G(z, r, 0) (x² + y²) ¾ dV = | B D -L²³L²T² C = D = [²G(z,r,0) dzdrdo

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Integrate the function (ಠ+ y²) ½ over the region E that is bounded by the xy plane below and above by the paraboloid 3 – x² - y² using cylindrical
coordinates.
B
D
-L²³L²T²
[²G(z,r,0) dzdrdo
C
where A =
E =
F
The value of the integral is
B =
[1] E
[[[₁₂ (2² + y²) i dv=
E
and G(z, r, 0)
(x² + y²) ¾ dV = |
=
D =
Transcribed Image Text:Integrate the function (ಠ+ y²) ½ over the region E that is bounded by the xy plane below and above by the paraboloid 3 – x² - y² using cylindrical coordinates. B D -L²³L²T² [²G(z,r,0) dzdrdo C where A = E = F The value of the integral is B = [1] E [[[₁₂ (2² + y²) i dv= E and G(z, r, 0) (x² + y²) ¾ dV = | = D =
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