20. A cubical region of space is defined by the surfaces x = 1.8, y = 1.8, z = 1.8, x = 2, y = 2, and z = 2. If D = 3y²a, + 3x²ya, C/m²: (a) find the exact value of the total charge enclosed within the cube by surface integration; (b) find an approximate value for the enclosed charge by evaluating the derivatives of Eq. (8) at the center of the cube.

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20. A cubical region of space is defined by the surfaces x = 1.8, y = 1.8, z = 1.8; x = 2,
y = 2, and z = 2. If D = 3y²a, + 3x2ya, C/m²: (a) find the exact value of the total
charge enclosed within the cube by surface integration; (b) find an approximate value
for the enclosed charge by evaluating the derivatives of Eq. (8) at the center of the
cube.
Transcribed Image Text:20. A cubical region of space is defined by the surfaces x = 1.8, y = 1.8, z = 1.8; x = 2, y = 2, and z = 2. If D = 3y²a, + 3x2ya, C/m²: (a) find the exact value of the total charge enclosed within the cube by surface integration; (b) find an approximate value for the enclosed charge by evaluating the derivatives of Eq. (8) at the center of the cube.
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