Give an Appropriate Answer $$f ( x , y ) = \sin ^ { 2 } \left( - 2 x y ^ { 2 } - y \right)$$

question 15

Multiple Choice

Give an appropriate answer.
- $$f ( x , y ) = \sin ^ { 2 } \left( - 2 x y ^ { 2 } - y \right)$$

• A) \(\frac { \partial f } { \partial x } = 2 \sin \left( - 2 x y ^ { 2 } - y \right) \cos \left( - 2 x y ^ { 2 } - y \right) ; \frac { \partial f } { \partial y } = ( - 8 x - 2 ) \sin \left( - 2 x y ^ { 2 } - y \right) \cos \left( - 2 x y ^ { 2 } - y \right)\)
• B) \(\frac { \partial f } { \partial x } = 2 \sin \left( - 2 x y ^ { 2 } - y \right) \cos \left( - 2 x y ^ { 2 } - y \right) ; \frac { \partial f } { \partial y } = 2 \sin \left( - 2 x y ^ { 2 } - y \right) \cos \left( - 2 x y ^ { 2 } - y \right)\)
• C) \(\frac { \partial f } { \partial x } = - 4 y ^ { 2 } \sin \left( - 2 x y ^ { 2 } - y \right) \cos \left( - 2 x y ^ { 2 } - y \right) ; \frac { \partial f } { \partial y } = ( - 8 x y - 2 ) \sin \left( - 2 x y ^ { 2 } - y \right) \cos \left( - 2 x y ^ { 2 } - y \right)\)
• D) \(\frac { \partial f } { \partial x } = - 4 y ^ { 2 } \sin \left( - 2 x y ^ { 2 } - y \right) \cos \left( - 2 x y ^ { 2 } - y \right) ; \frac { \partial f } { \partial y } = 2 \sin \left( - 2 x y ^ { 2 } - y \right) \cos \left( - 2 x y ^ { 2 } - y \right)\)

Understand the health implications of religious involvement and lifestyle choices on life expectancy.

Recognize the psychological and physiological benefits of stress management techniques such as meditation and aerobic exercise.

Comprehend the stages of the general adaptation syndrome and the physiological responses involved.

Differentiate between personality types and their responses to stress.

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Definitions:

Fixed Production Costs

Payments that stay unchanged regardless of how much is produced or sold, covering rent, salaries, and insurance.

Net Income

The total profit of a company after all expenses, taxes, and costs have been subtracted from total revenues.

Absorption Costing

A costing approach that encompasses all expenses related to production, including direct materials, direct labor, and all manufacturing overheads, both variable and fixed, as part of a product's cost.

Selling and Administrative Expenses

Expenses related to the selling of products and the management of the business, not directly tied to production.