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15. Volume charge density is given by Pu= 10e-1000pe-1 C/m³. (a) Find the maximum
value of p, in the region 0 ≤p ≤ 0.01 m, 0≤ <2, 0≤z ≤ 0.01 m. (b) Find the total
charge contained in the first octant, where x, y, and z are positive. (c) Find b if the total
charge found in the volume 0 ≤p ≤ b, 0≤ ≤ 1/2, z ≥ 0, is half the value found in part
(b) above.

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