F(x, y, z) = (4xy - 9) i + 3xyz j + z² k. Find div F. A) 0 B) 4xy + 3xyz + z² C) 4y + 3xz + 2z D) 2z E) 4xy + z²

Name: F(x, y, z) = (4xy - 9) i + 3xyz j + z 2 k. Find div F. A) 0 B) 4xy + 3xyz + z 2 C) 4y + 3xz + 2z D) 2z E) 4xy + z 2
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Quizplus · Accepted Answer

The divergence of F is given by: div F = (∂Fx/∂x) + (∂Fy/∂y) + (∂Fz/∂z) = (4y) + (3xz) + (²) = 4y + 3xz + 2z (using the given value of ²) Therefore, the correct answer is C.

F(x, Y, Z) = (4xy - 9) I + 3xyz