Use the divergence theorem to evaluate the surface integral F. dS, S where the vector field is F = (3x + 1) i + y (2z² + 1) j + (x³ + 2zy²) k and S is the cylindrical surface (without disks) specified...

Use the divergence theorem to evaluate the surface integral<br>F. dS,<br>S<br>where the vector field is F = (3x + 1) i + y (2z² + 1) j + (x³ + 2zy²) k<br>and S is the cylindrical surface (without disks) specified by<br>S = {(x, y, z) | y² + z² = 2, 0 < x < 1},<br>%3|<br>oriented outwards.<br>

Extracted text: Use the divergence theorem to evaluate the surface integral F. dS, S where the vector field is F = (3x + 1) i + y (2z² + 1) j + (x³ + 2zy²) k and S is the cylindrical surface (without disks) specified by S = {(x, y, z) | y² + z² = 2, 0 < x="">< 1},="" %3|="" oriented="">

Jun 03, 2022

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Use the divergence theorem to evaluate the surface integral F. dS, S where the vector field is F = (3x + 1) i + y (2z² + 1) j + (x³ + 2zy²) k and S is the cylindrical surface (without disks) specified...

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