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

η=(xz+yz2)dx+(sin(y)+z+5x)dy+xyz dzz=13-x2-y2, z≥9 F→=xz+yz2i+(sin(y)+z+5x)j+xyzk z=9⇒9=13-x2-y2…

Answered: Use Stokes' theorem to evaluate the…

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 = 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