Find the Linear Approximation To $f ( x ) = \frac { 1 } { \sqrt { x ^ { 3 } + 1 } }$

question 69

Multiple Choice

Find the linear approximation to $f ( x ) = \frac { 1 } { \sqrt { x ^ { 3 } + 1 } }$ at $a = 2 .$

• A)-2x + 7
• B) \(\frac { 1 } { 3 } x - \frac { 2 } { 3 }\)
• C) \(- \frac { 2 } { 9 } x + \frac { 7 } { 9 }\)
• D) \(\frac { 1 } { 3 } x - \frac { 7 } { 3 }\)
• E) \(2 x - 7\)
• F)
• \(- \frac { 1 } { 3 } x + \frac { 2 } { 3 }\)
• G)
• \(\frac { 2 } { 9 } x - \frac { 7 } { 9 }\)
• H) \(- \frac { 1 } { 3 } x + \frac { 7 } { 3 }\)

Describe the cultural contributions of African slaves to colonial America, including linguistics and religious practices.

Analyze the demographic changes in slave populations, particularly in South Carolina, and the factors contributing to natural growth.

Compare and contrast the living conditions, work, and social dynamics of slaves in urban versus rural settings within the colonies.

Explore the influence of colonial powers on enslaved populations, particularly the Spanish policies in Florida.

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