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Use Stokes' theorem to evaluate

`o\int_C vec(F)*dvec(r)`

where

`vec(F)(x,y,z)=(2z-cosx)vec(i)+(3x+y^(2))vec(j)+2e^(2)vec(k),`

where

`C`

is the boundary of the paraboloid

`z=4-x^(2)-y^(2)`

which lies above the

`xy`

-plane and oriented counter clockwise as shown in Figure 2 . Figure 2