Evaluate Where F(x, Y, Z) = 12x I $\sigma$ Is That Portion of the Paraboloid Z = X²

question 15

Short Answer

Evaluate where F(x, y, z) = 12x i + 24j + 24x² k and $\sigma$ is that portion of the paraboloid z = x² + y² which lies above the xy-plane enclosed by the parabolas y = 1 - x² and y = x² - 1. The surface is oriented by downward unit normals.

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Definitions:

Chart of Accounts

A structured list of all the financial and nominal accounts in a company, detailing every type of transaction a business might conduct.

Accounting System

A structured process of collecting, recording, summarizing, and interpreting financial information of a business.

Adjusting Entries

At the close of a financial period, journal entries are created to distribute earnings and costs to the period in which they genuinely took place.

Adjusted Trial Balance

is a listing of all company accounts that will appear on the financial statements after making end-of-period adjustments.