When x, y, and z are positive and less than 5, a certain magnetic field intensity may be expressed as H = [x2yz/(y + 1)]ax + 3x2z2ay − [xyz2/(y + 1)]az. Find the total current in the ax direction that crosses the strip x = 2, 1 ≤ y ≤ 4, 3 ≤ z ≤ 4, by a method utilizing: (a) a surface integral; (b) a closed line integral.
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