Let F(x, y, z) = 8x² i + 6y j + 3z k . Find the outward flux of the vector field F across the unit cube in the first octant and including the origin as a vertex. A) 17 B) 18 C) 16 D) 27 E) 37

Question

Quizplus · Accepted Answer

The outward flux of F across the unit cube in the first octant and including the origin as a vertex is 17. This is because the outward flux of F across each of the six faces of the cube is 3, and the outward flux of F across the origin is 1.

Let F(x, Y, Z) = 8x2 I + 6y J

Let F(x, Y, Z) = 8x² I + 6y J