Evaluate $\int_{c} \mathrm{F} \cdot d r$ Where $F(x, y)=x^{2} y \mathbf{i}+x y^{\frac{3}{2}} \mathbf{j}$

question 2

Multiple Choice

Evaluate $\int_{c} \mathrm{F} \cdot d r$ where $F(x, y) =x^{2} y \mathbf{i}+x y^{\frac{3}{2}} \mathbf{j}$ and $\mathbf { r } ( t ) = ( 1 + 8 \cos t ) \mathbf { i } + \left( 9 \cos ^ { 2 } t \right) \mathbf { j } , 0 \leq t \leq \frac { \pi } { 2 }$

• A) \(- \frac { 9,894 } { 5 }\)
• B) \(- \frac { 10,134 } { 5 }\)
• C) \(- \frac { 14,193 } { 10 }\)
• D) \(- \frac { 10,233 } { 10 }\)
• E) \(- \frac { 7,446 } { 5 }\)

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Definitions:

Functional Flexibility

The ability of an organization to manage and utilize its workforce in a way that can quickly respond to changes without significant additional costs.

Continuous Process Strategy

An approach focusing on improving and optimizing ongoing operations and processes for efficiency and effectiveness.

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A Japanese term meaning "change for better," referring to the practice of continuous improvement in all aspects of life, especially in business efficiency and quality.

Total Quality Management

A comprehensive management approach that focuses on continuous improvement of products, services, and processes by involving all employees.