2. Consider the following oriented surfaces: S1 : z = 0 with downward normal vectors S2 : portion of x² + y? + z² = 4 with outward normal vectors that is above , S3 : S1 U S2 %3D Let f(x, y, z) = (x² + y²) z and F(x, Y, z) = (2xz, 3y, -22). b. Use Stokes' Theorem to compute curl F· ñ do.

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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2. Consider the following oriented surfaces:
S1 : z = 0 with downward normal vectors
S2 : portion of x² + y? + z² = 4 with outward normal vectors that is above S1
S3 : S1 U S2
%3D
Let f(x, y, z) = (x² + y²) z and F(x, Y, z) = (2xz, 3y, -22).
b. Use Stokes' Theorem to compute
curl F· ñ do.
S2
Transcribed Image Text:2. Consider the following oriented surfaces: S1 : z = 0 with downward normal vectors S2 : portion of x² + y? + z² = 4 with outward normal vectors that is above S1 S3 : S1 U S2 %3D Let f(x, y, z) = (x² + y²) z and F(x, Y, z) = (2xz, 3y, -22). b. Use Stokes' Theorem to compute curl F· ñ do. S2
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