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Mathematics, 19.04.2021 15:20 mariap3504

Suppose div F = xyz2. (a) Find div F at the point (1, 2, 2). (Note: you are given div F, not F.) div F (1, 2, 2) = 8 Correct: Your answer is correct. (b) Using your answer to part (a), but no other information about the vector field F, estimate the flux out of a small box of side 0.4 centered at the point (1, 2, 2) and with edges parallel to the axes. (c) Without computing the vector field F, calculate the exact flux out of the box. (Round your answer to five decimal places.)

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