(a) Let div(F ) = x2 + y2 z2. Estimate the flux outof a small sphere of radius 0.1

Chapter 19, Problem 41

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(a) Let div(F ) = x2 + y2 z2. Estimate the flux outof a small sphere of radius 0.1 centered at each ofthe following points(i) (2, 1, 1) (ii) (0, 0, 1)(b) What do the signs of your answers to part (a) tell youabout the vector field near each of these two points?

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