- $$w = g ( z ) = 9 + \sqrt { 8 - z } , ( z , w ) = ( 7,10 )$$

question 100

Multiple Choice

$\text { Use the formula } f ^ { \prime } ( x ) = \lim _ { z \rightarrow x } \frac { f ( z ) - f ( x ) } { z - x } \text { to find the derivative of the function. }$
- $$w = g ( z ) = 9 + \sqrt { 8 - z } , ( z , w ) = ( 7,10 )$$

• A) \(w = \frac { 1 } { 2 } z + \frac { 27 } { 2 }\)
• B) \(w = - \frac { 1 } { 2 } z + \frac { 27 } { 2 }\)
• C) \(w = \frac { 1 } { 2 } z - \frac { 27 } { 2 }\)
• D) \(w = - \frac { 1 } { 2 } z - \frac { 27 } { 2 }\)

---

Definitions:

Virus

A microscopic organism that invades living cells to replicate, often causing disease.

Corrupted

Altered from the original or intended state, often referring to data that has become unreadable or software that has been compromised, as well as ethical deterioration in individuals or systems.

Production Possibility Frontier

A curve that illustrates the maximum possible output combinations of two goods or services an economy can achieve when all resources are fully and efficiently employed.

Working-Age Immigrants

Individuals who migrate from one country to another and fall within the labor force's eligible age range, contributing to the workforce in their new country.