Compute 
where S is the portion of the surface of the sphere with radius 
and center 
that is above the 
plane oriented upward, and F is the vector field 
.
Definitions:
Important
Having significant value, meaning, or influence on an outcome or in a particular context.
Characteristics
Features or qualities that distinguish a person, place, or thing, making it identifiable.
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Written expressions of sympathy and support to someone who has lost a loved one.
Death
The cessation of all biological functions that sustain a living organism, marking the end of its life.
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