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