Find (A) the Divergence and (B) the Curl of the Vector

question 120

Short Answer

Find (a) the divergence and (b) the curl of the vector field $\mathbf { F }$ .
$$\mathbf { F } ( x , y , z ) = \cos z \mathbf { i } + 3 y \sin 3 z \mathbf { j } + 6 x ^ { 3 } z \mathbf { k }$$

---

Definitions:

Truck Electronics

The electronic systems and devices integrated into trucks, managing functions such as engine control, navigation, and communication.

Piezo-Resistive

Pertaining to a material or device that changes its electrical resistance in response to mechanical stress.

Pressure Values

Likely intended to be "Pressure Valves," which are mechanical devices that regulate or control the flow of a fluid by opening, closing, or partially obstructing passageways based on pressure.

Zener Diode

Specialty diode designed to reverse-bias conduct only after a specific voltage value is attained. Used in electronic voltage regulators.