For $f ( x ) = - \frac { 3 } { \sqrt { x } }$

question 5

Multiple Choice

For $f ( x ) = - \frac { 3 } { \sqrt { x } }$ ,find the average rate of change of f (x) with respect to x as x changes from 144 to 145.Then use calculus to find the instantaneous rate of change at x = 144.Round your answer to six decimal places,if necessary.

• A)Average rate of change: 0.000864; Instantaneous rate of change: 0.000868
• B)Average rate of change: -0.000864; Instantaneous rate of change: 0.125
• C)Average rate of change: 0.000864; Instantaneous rate of change: -0.125
• D)Average rate of change: -0.000864; Instantaneous rate of change: 0.000868

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Definitions:

Idiocentric Person

Refers to individuals who are primarily focused on their own interests, goals, and needs rather than those of the group they belong to.

Allocentric Person

Describes someone who is other-focused, placing the group's needs and concerns above their own personal interests.

Friendly

Characterized by showing kindness, warmth, and support towards others, making for pleasant and agreeable interactions.

Collectivism

A cultural value that emphasizes the importance of groups and collective action, prioritizing group goals over individual ones.