Sketch the Region Enclosed by the Curves $y = x + 2 , y = 9 - x ^ { 2 } , x = - 2$

question 104

Multiple Choice

Sketch the region enclosed by the curves $y = x + 2 , y = 9 - x ^ { 2 } , x = - 2$ , and $x = 2$ . Find the area of the region correct to two decimal places.
Select the correct answer.

• A) \(\quad 22.67\)
• B) \(32.67\)
• C) \(20.67\)
• D) \(52.67\)
• E) \(62.67\)
• F) \(42.67\)

---

Definitions:

Straight-Line

A method of calculating depreciation or amortization by evenly allocating the cost of an asset over its expected useful life.

Sum-Of-Years' Digits

An accelerated method of depreciation which involves allocating the cost of an asset over its useful life in a way that results in higher depreciation expense in the earlier years and lower expense in later years.

Salvage Value

The anticipated market value of an asset upon completing its service life.

Matching Principle

An accounting principle that requires expenses to be matched with the revenues they helped to generate in the same period.