2. Evaluate the surface integral JJ √x² + y² ds, S where S is the portion of the cone z = 6-√√x² + y² between the planes z = 2 and z = 5. Use the parameterization r = r(r, 0) = r cos 0i+r sin 0j + (6-r)k, 0 ≤0 ≤ 2π, 1≤r≤ 4.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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2. Evaluate the surface integral
√x² + y² ds,
S
where S is the portion of the cone z = 6-√√x² + y² between the planes z = 2 and z = 5.
Use the parameterization r = r(r, 0) = r cos 0i+r sin 0j + (6 -r)k,
0 ≤0 ≤ 2π, 1≤r≤ 4.
Transcribed Image Text:2. Evaluate the surface integral √x² + y² ds, S where S is the portion of the cone z = 6-√√x² + y² between the planes z = 2 and z = 5. Use the parameterization r = r(r, 0) = r cos 0i+r sin 0j + (6 -r)k, 0 ≤0 ≤ 2π, 1≤r≤ 4.
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