Find $f$ $f ^ { \prime } ( t ) = 2 t - 4 \sin t , \quad f ( 0 ) = 5$

question 64

Multiple Choice

Find $f$ . $f ^ { \prime } ( t ) = 2 t - 4 \sin t , \quad f ( 0 ) = 5$

• A) \(f ( t ) = t ^ { 2 } - 3 \cos t - 5\)
• B) \(f ( t ) = t ^ { 2 } + 4 \cos t + 1\)
• C) \(f ( t ) = 2 t - 3 \sin t + 5\)
• D) \(f ( t ) = t ^ { 2 } + 3 \cos t\)
• E) None of these

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Definitions:

Task System

The Task System was a labor system where enslaved people were assigned daily tasks to complete and were allowed some personal time upon the completion of those tasks.

Labor Intensive

Describes industries or processes that require a large amount of labor to produce goods or services, often involving significant human effort and minimal automation.

Slaves

Individuals forcibly held and compelled to work without freedom or personal rights.

Task System

A labor system, particularly used in the context of slavery, where enslaved individuals were assigned specific tasks to complete each day.