Find the Value of the Line Integral $\int_{c} \mathbf{F} \cdot d \mathbf{r}$

question 67

Multiple Choice

Find the value of the line integral $\int_{c} \mathbf{F} \cdot d \mathbf{r}$ , where $\mathbf{F}(x, y) =12 x y \mathbf{i}+6 x^{2} \mathbf{j}$ and $\mathbf { r } ( t ) = 8 t \mathbf { i } + 8 t ^ { 2 } \mathbf { j } , 0 \leq t \leq 1$
(Hint: If $\mathbf { F }$ is conservative, the integration may be easier on an alternate path.)

• A) 3,072
• B) 192
• C) 6,144
• D) 6,144.
• E) 6,912.

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Wage Disparity

The difference in wages earned by different groups of people, often segmented by gender, race, or education level.

Human Capital

The economic value of an individual's experience and skills.

Wage Disparity

The difference in wages between individuals or groups, often analyzed in the context of gender, ethnicity, occupation, or education level disparities.

Efficiency Wages

Wages set above the market equilibrium to increase worker productivity and efficiency.