(b) Is ▼ × F) · dS where F(x, y, z) = (x² + y − 4)i + 3xyj + (2xz + z²)k and S is the upper hemisphere (z ≥ 0) of radius
Posted: Thu Jun 30, 2022 7:51 pm
(b) Is ▼ × F) · dS where F(x, y, z) = (x² + y − 4)i + 3xyj + (2xz + z²)k and S is the upper hemisphere (z ≥ 0) of radius 4, centred at (0, 0, 0). Take the normal pointing upwards.