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A cube with sides of 33.0 cm is placed in a nonuniform electric field E(x, y,...

A cube with sides of 33.0 cm is placed in a nonuniform electric field E(x, y, z) = −3.0xi + 5.0yj + 4.0zk, where x, y, and z are measured in meters and E is in N/C. Determine the electric flux through each of the six faces of the cube, assuming the cube has a corner at the origin and sides along the x, y, and z axes.

face at x = 0

face at x = 33.0 cm

face at y = 0

face at y = 33.0 cm

face at z = 0

face at z = 33.0 cm

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