Let $\vec { F } = 5 x \vec { i } + z \vec { j } + ( y + 5 x ) \vec { k }$

question 76

Essay

Let $\vec { F } = 5 x \vec { i } + z \vec { j } + ( y + 5 x ) \vec { k }$ Use Stokes' Theorem to find $\dot { \mathrm { Q } } { \vec { F } \times \overline { d r } }$ where C is a circle in the xz-plane of radius $6$ , centered at $( 6,0 , - 2 )$ oriented $\text { clockw ise }$ when viewed from the positive y-axis.

---

Definitions:

Marginal Product

The additional output produced as a result of adding one more unit of a specific input, keeping other inputs constant.

Value of Marginal Product

The additional revenue generated by employing one more unit of a factor of production, such as labor.

Marginal Product

The increase in output resulting from a one-unit increase in the input of a production factor, holding all other inputs constant.

Marginal Cost

The increase in total cost that arises from an extra unit of production.