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(Solved): 1) Compute the vector surface integral: F=(x,y,z), part of sphere x2+y2+z2=1, where 21z ...

$1) Compute the vector surface integral: \( \mathbf{F}=(x, y, z), \quad \) part of sphere \( x^{2}+y^{2}+z^{2}=1 \), where \($

1) Compute the vector surface integral:

F = (x, y, z),

part of sphere

x^{2} + y^{2} + z^{2} = 1

, where

\frac{1}{2} ? z ? \frac{3}{2}

, inward-pointing normal

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   Given that,
Given that      , part of the sphere
Where
To compute the vector surface integral, we'll need to evaluate the dot product between the vector field F and the inward-pointing normal vector on the surface of the sphere.
Here ,
In ...

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