Use the divergence theorem to find the outward flux of F across the boundary of the region D. F=x³i-3x²yj+7xzk 2 D: The region cut from the first octant by the sphere x² + y² + z² = 4

Find the flux of F= ²7 + x³z³7 + 3xzk out of the closed region bounded by the planes z = 0, y = 0, x = y, x = 4, z = 5. Give the exact answer or round to three decimal places. The flux of F out of the closed region is

Consider surface z = sin(T(3x+ 2y)) + x²y².

Use the Divergence Theorem to evaluate where S is the sphere x² + y² + z² = 1 11. (2² (2x + 2y + z²) ds