Consider the vector function 2 v = s(1 + cos )s + s sin o cos...

 

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Consider the vector function 2 v = s²(1 + cos² )s + s² sin o cos $ + 2z²2 (a) Check the divergence theorem for the function over the half-cylinder that spans (0 < s < S), (< p < 7), and (0 < z <Z). 2 (b) Check Stokes' theorem for the function over the half-disk of radius S that lies in the xy plane with 0 << π. Consider the vector function 2 v = s²(1 + cos² )s + s² sin o cos $ + 2z²2 (a) Check the divergence theorem for the function over the half-cylinder that spans (0 < s < S), (< p < 7), and (0 < z <Z). 2 (b) Check Stokes' theorem for the function over the half-disk of radius S that lies in the xy plane with 0 << π.