Use the divergence theorem to write a triple integral that is equivalent to the flux integral F.ds, where y4 4 planes z = 0 and z = x + 5. F(x, y, z) = 2yz²i+ -j+x²yz k and S is the surface of the solid E bounded by the cylinder x² + y² Do not evaluate the integral. Hint: convert to cylindrical coordinates and ensure all limits of integration are non-negative. Provide your answer below: JfF.ds = dz dr dᎾ and the

Calculus: Early Transcendentals
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Chapter1: Functions And Models
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Use the divergence theorem to write a triple integral that is equivalent to the flux integral F F.ds, where
S
y4
2yz² i +
-j+x²yz k and S is the surface of the solid E bounded by the cylinder x² + y2 = 1 and the
= x + 5.
4
F(x, y, z)
=
planes z = 0 and z
Do not evaluate the integral.
Hint: convert to cylindrical coordinates and ensure all limits of integration are non-negative.
Provide your answer below:
1₂F. ds = √2
dz dr de
Transcribed Image Text:Use the divergence theorem to write a triple integral that is equivalent to the flux integral F F.ds, where S y4 2yz² i + -j+x²yz k and S is the surface of the solid E bounded by the cylinder x² + y2 = 1 and the = x + 5. 4 F(x, y, z) = planes z = 0 and z Do not evaluate the integral. Hint: convert to cylindrical coordinates and ensure all limits of integration are non-negative. Provide your answer below: 1₂F. ds = √2 dz dr de
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