An Electric Charge Is Spread Over a Rectangular Region $R = \{ ( x , y ) \mid 0 \leq x \leq 3,0 \leq y \leq 4 \} .$

question 27

Multiple Choice

An electric charge is spread over a rectangular region $R = \{ ( x , y ) \mid 0 \leq x \leq 3,0 \leq y \leq 4 \} .$ Find the total charge on R if the charge density at a point $( x , y )$ in R (measured in coulombs per square meter) is $\sigma ( x , y ) = x ^ { 2 } + 4 y ^ { 3 }$

• A) \(804\) coulombs
• B) \(91\) coulombs
• C) \(300\) coulombs
• D) \(265\) coulombs

---

Definitions:

Accounts

Refers to records in bookkeeping that track financial transactions and their impacts on specific areas, such as assets, liabilities, and equity.

Accrual Accounting

An accounting method that records revenues and expenses when they are earned or incurred, regardless of when cash transactions occur.

Revenues Recorded

The act of documenting income generated from normal business operations, such as sales of goods or services, in the financial records.

Vertical Analysis

A financial analysis method in which each entry for each of the three major categories of accounts (assets, liabilities, and equity) in a balance sheet is represented as a proportion of the total account.