Suppose that S is the boundary surface of the solid region B that is bounded by the paraboloid z = x2 + y2 and the plane z 9. Given the vector field F(x, Y, 2) = (2ze" + xy²)î + (xz² – 2ze*)+ (x²z+2xe¯v)&. The flux of the given vector field across the surface S equals 243T kg/s.
Suppose that S is the boundary surface of the solid region B that is bounded by the paraboloid z = x2 + y2 and the plane z 9. Given the vector field F(x, Y, 2) = (2ze" + xy²)î + (xz² – 2ze*)+ (x²z+2xe¯v)&. The flux of the given vector field across the surface S equals 243T kg/s.
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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![Suppose that S is the boundary surface of the solid region B that is bounded by the paraboloid z = x2 + y² and the plane z = 9.
Given the vector field
F (x, y, 2) = (2ze" + æy?)î + (xz² – 2ze")j+ (x²z+ 2æe¯³)k.
The flux of the given vector field across the surface S equals
2437T
- kg/s.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F57f9ec15-667e-4fa6-9b5c-8f0ff560ec3e%2Fdae66aee-2830-4085-9ca4-ca309bbc6cc8%2Fbfms34l_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Suppose that S is the boundary surface of the solid region B that is bounded by the paraboloid z = x2 + y² and the plane z = 9.
Given the vector field
F (x, y, 2) = (2ze" + æy?)î + (xz² – 2ze")j+ (x²z+ 2æe¯³)k.
The flux of the given vector field across the surface S equals
2437T
- kg/s.
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