Find the Flux of the Vector Field F Across the Surface

question 76

Multiple Choice

Find the flux of the vector field F across the surface S in the indicated direction.
- $\mathbf { F } = x \mathbf { i } + y \mathbf { j } + z ^ { 3 } \mathbf { k }$ ; S is portion of the cone $z = 3 \sqrt { x ^ { 2 } + y ^ { 2 } }$ between $z = 3$ and $z = 6$ ; direction is outward

• A) \(- \frac { 1604 } { 5 } \pi\)
• B) \(\frac { 1604 } { 5 } \pi\)
• C) \(\frac { 802 } { 5 } \pi\)
• D) \(- \frac { 802 } { 5 }\)

Delineate the classifications and the foundational documents of corporations.

Understand corporate governance, including the selection and duties of directors and officers, as well as their fiduciary duties.

Explain the structure and characteristics of a limited liability company (LLC).

Understand the doctrine of respondeat superior, vicarious liability, and apply these principles to specific scenarios.