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Evaluate the surface integral [ f(x,y,z) ds using an explicit representation of the surface. S f(x,y,z) = ²; S is the plane z = 12 - 2x - 4y in the first octant. The value of the surface integral is (Type an exact answer, using radicals as needed.)

Evaluate the surface integral [ f(x,y,z) ds using an explicit representation of the surface. S f(x,y,z) = ²; S is the plane z = 12 - 2x - 4y in the first octant. The value of the surface integral is (Type an exact answer, using radicals as needed.)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Evaluate the surface integral [ f(x,y,z) ds using an explicit representation of the surface. S f(x,y,z) = ²; S is the plane z = 12 - 2x - 4y in the first octant. The value of the surface integral is (Type an exact answer, using radicals as needed.)
Transcribed Image Text:Evaluate the surface integral [ f(x,y,z) ds using an explicit representation of the surface. S f(x,y,z) = ²; S is the plane z = 12 - 2x - 4y in the first octant. The value of the surface integral is (Type an exact answer, using radicals as needed.)
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