Find the Linearization L (X) of the Function at A f

question 91

Multiple Choice

Find the linearization L (x) of the function at a.
$$f ( x ) = x ^ { 2 / 3 } ; \quad a = 64$$

• A) \(\frac { 8 } { 3 } x + \frac { 464 } { 3 }\)
• B) \(\frac { 8 } { 3 } x + \frac { 512 } { 3 }\)
• C) \(\frac { 8 } { 3 } x - \frac { 512 } { 3 }\)
• D) \(\frac { 8 } { 3 } x - \frac { 464 } { 3 }\)

---

Definitions:

Inflation

A rise in the general price levels of goods and services in an economy over a period of time.

Labor Force

The total number of people who are of working age (typically 16 years and over), capable of, and seeking employment.

Discouraged Workers

Individuals who are not actively looking for employment because they believe no jobs are available for them.

Unemployment Insurance

is a government program that provides temporary financial assistance to eligible workers who are unemployed through no fault of their own.