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The flux density within the cylindrical volume bounded by r=4 m,z=0 m and z=5 m, is given by $\overline{D}=30 e^{-r}\hat{a_{r}}-2z\hat{a_{z}}$ $c/m^{2}$.

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The flux density within the cylindrical volume bounded by r=4 m,z=0 m and z=5 m, is given by $\overline{D}=30 e^{-r}\hat{a_{r}}-2z\hat{a_{z}}$ $c/m^{2}$. What is the total outward flux crossing the surface of the cylinder?

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