Problem 2-Divergence The Cartesian divergence operator is defined as ə ▼ · F (Robs) = (ªx + + ਸ + · ây Əx Ә Ә ² ₂ â₂) . ²² =

Fx + Fy+₂2F₂ дz 𐐀х ду and may be thought of as an indicator of a "source" or a “sink" at a point Robs. To demonstrate the divergence operator, let us consider the 3D vector field produced by the gradient of the temperature function in Problem 1. The divergence of this vector field will indicate any sources or sinks of heat. The divergence of this field is trivial to derive and is V. (VT) = 80 Rx e-R3-R3-R² (2R² + 2R² + 2R² − 5) - 1. Produce a set of 3D vectors which represent the gradient of the temperature field. 2. In the same plot, overlay a scatter plot where the color of each point corresponds to the divergence of the gradient vector field.