Given that the potential field in the region is V(x, y, z) = 2 z2 + 3 y sin(4 x) (measured in volts). Determine the potential difference VAB (measured in volts) between A(9, 7, 8) and B(12, 14, 12), if both A and B are outside the conductor. In addition, C(3, 2, 3) is known to be on the surface of the conductor. Express your answers accurate to four decimal places, whenever applicable. Tip: Make sure your calculators are in radian mode when dealine with trigonometric functions in the rectangular coordinate system.

Given that the potential field in the region is V(x, y, z) = 2 z2 + 3 y sin(4 x) (measured in volts). Determine the potential difference VAB (measured in volts) between A(9, 7, 8) and B(12, 14, 12), if both A and B are outside the conductor. In addition, C(3, 2, 3) is known to be on the surface of the conductor. Express your answers accurate to four decimal places, whenever applicable. Tip: Make sure your calculators are in radian mode when dealine with trigonometric functions in the rectangular coordinate system.