Use Stoke's Theorem to Evaluate $\iint _ { S } \mathbf { F } \cdot d r$

question 154

Short Answer

Use Stoke's theorem to evaluate $\iint _ { S } \mathbf { F } \cdot d r$ .
$$\mathbf { F } ( x , y , z ) = 4 z \mathbf { i } + 2 x \mathbf { j } + 6 y \mathbf { k }$$
$C$ is the curve of intersection of the plane $z = x + 9$ and the cylinder $x ^ { 2 } + y ^ { 2 } = 9$

---

Definitions:

Amortize

The gradual reduction of a debt over a period of time through regular payments of principal and interest sufficient to pay off the debt by maturity.

GAAP

Generally Accepted Accounting Principles, a set of accounting standards and procedures used in the United States to guide the recording and reporting of financial information.

Intangibles

Intangibles refer to non-physical assets that have value, such as patents, copyrights, trademarks, and goodwill.

Internally Developed

Refers to assets or processes that a company develops using its own resources and without external acquisition.