Answer the Question $\sin x ^ { 3 / 2 }$

question 140

Multiple Choice

Answer the question.
-Estimate the error if $\sin x ^ { 3 / 2 }$ is approximated by $x ^ { 3 / 2 } - \frac { x ^ { 9 / 2 } } { 3 ! }$ in the integral of $\int _ { 0 } ^ { 1 } \sin x ^ { 3 / 2 } d x$ .

• A) \(\frac { 1 } { 5 ! }\)
• B) \(\frac { 6 } { 17 \cdot 5 ! }\)
• C) \(\frac { 2 } { 17 \cdot 5 ! }\)
• D) \(\frac { 2 } { 15 \cdot 4 ! }\)

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Definitions:

Labor Supply

The total hours that workers wish to work at a given wage rate, representing the availability of labor for production.

Equilibrium Wage

The salary level where the amount of work sought by employers matches the amount of work offered by employees.

Wage Discrimination

The practice of paying different wages to employees who do similar work based on the employees' gender, race, age, or other non-merit-based factors.

Objective Measures

Assessments based on observable and measurable facts, used in various fields to ensure fairness and accuracy in decision-making.