Find the Flux of the Vector Field F Across the Surface

question 271

Multiple Choice

Find the flux of the vector field F across the surface S in the indicated direction.
- $\mathbf { F } ( \mathrm { x } , \mathrm { y } , \mathrm { z } ) = 7 \mathrm { x } \mathbf { i } + 7 \mathrm { yj } + 2 \mathbf { k } , \mathrm { S }$ is the surface cut from the bottom of the paraboloid $\mathrm { z } = \mathrm { x } ^ { 2 } + \mathrm { y } ^ { 2 }$ by the plane $z = 2$ , direction is outward

• A) \(120 \pi\)
• B) \(- 208 \pi\)
• C) \(24 \pi\)
• D) \(104 \pi\)

---

Definitions:

Sales Estimates

Projections or predictions about the amount of revenue that will be generated through sales activities within a certain period.

Budgeted Sales

An estimate of the sales volume and revenue expected to be achieved in a specific period, typically used for planning purposes.

Units

A measure of quantity used to express the amount of a product or service.

Unit Selling Price

The amount charged to the customer for a single unit of a product or service.