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6. Let E be the part of B, = [-1, 2] x [-1, 2] x [-1, 2] that lies outside B2 = [0, 1] x

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6. Let E be the part of B, = [-1, 2] x [-1, 2] x [-1, 2] that lies outside B2 = [0, 1] x [0, 1] x [0, 1]. Evaluate the following surface integrals, where the boundaries OB, and 2B, are oriented outward. F . dS for a smooth vector field F with JaBZ F . dS = 6 and 1 div ( F) dV = 10. div(G) dV for a smooth vector field G with / G . dS = 5 and div (G) dV = 9. (b) JaB, E

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