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Use Stokes' theorem to evaluate the surface integral I of the two-form w = dŋ, with n = (xz+ yz²) dæ + (sin(y) + z + 5æ) dy + xyz dz along the part of the paraboloid z = 13 – a² – y² above the plane z = 9 with orientation given by an outward pointing normal vector. I

Use Stokes' theorem to evaluate the surface integral I of the two-form w = dŋ, with n = (xz+ yz²) dæ + (sin(y) + z + 5æ) dy + xyz dz along the part of the paraboloid z = 13 – a² – y² above the plane z = 9 with orientation given by an outward pointing normal vector. I

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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Use Stokes' theorem to evaluate the surface integral I of the two-form w = dn, with n= (xz+yz²) dx + (sin(y) +z +5æ) dy + xyz dz along the part of the paraboloid z = 13 – x2 – y? above the plane z = 9 with orientation given by an outward pointing normal vector.
Transcribed Image Text:Use Stokes' theorem to evaluate the surface integral I of the two-form w = dn, with n= (xz+yz²) dx + (sin(y) +z +5æ) dy + xyz dz along the part of the paraboloid z = 13 – x2 – y? above the plane z = 9 with orientation given by an outward pointing normal vector.
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