An Electric Charge Is Spread Over a Rectangular Region $R = \{ ( x , y ) \mid 0 \leq x \leq 3,0 \leq y \leq 2 \}$

question 46

Multiple Choice

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

• A) 84 coulombs
• B) 222 coulombs
• C) 22 coulombs
• D) 56 coulombs

---

Definitions:

Greater Value

The higher worth or significance of something, often due to its usefulness, rarity, or quality.

New Small Business

A recently established company that operates on a smaller scale compared to larger corporations.

Customer Base

The group of customers who repeatedly purchase the goods or services of a business, serving as the main source of revenue for the company.

Intellectual Capital

The intangible assets of a business, including human knowledge, relationships, and organizational processes, that contribute to its competitive edge.