Question

3. (25%) A vector field D = "rr' exists in the region between two concentric cylindrical surfaces defined by r= 1 and r 2, with both cylinders extending between z

=0 and z 5. Verify the divergence theorem by evaluating: \text { (a) } \oint_{S} D \cdot d s \text { , } \text { (b) } \int_{v} \nabla \cdot D d v

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