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B.1 Divergence Theorem a. State the divergence theorem, defining all quantities involved. Provide, in addition, a physical interpretation of the divergence (in terms of a fluid for example). b. Evaluate ů.B, B = r r You are allowed to use standard identities from the lecture notes. c. Consider the vector field Ě = (2x2, – 3y, z2). = = i) Compute the divergence and integrate it over the cylinder bounded by z = 0,2 and x2 + y2 = 9. ii) Verify the divergence theorem by computing the flux of this vector field through the cylinder defined above. d. Prove the following identity 1,6972h+7g . Øn) = / sõn.ds, ( = by using the divergence theorem.