Use the Chain Rule to Find $\frac { \partial z } { \partial s }$

question 115

Multiple Choice

Use the Chain Rule to find $\frac { \partial z } { \partial s }$ . $z = e ^ { y } \cos ( \theta ) , r = 8 s t , \theta = \sqrt { s ^ { 2 } + t ^ { 2 } }$

• A) \(\frac { \partial z } { \partial s } = e ^ { \gamma } \left( 8 t \cos ( \theta ) - \frac { s \sin ( \theta ) } { \sqrt { s ^ { 2 } + t ^ { 2 } } } \right)\)
• B) \(\frac { \partial z } { \partial s } = e ^ { \gamma } \left( 8 t \cos ( \theta ) + \frac { s \sin ( \theta ) } { \sqrt { s ^ { 2 } - t ^ { 2 } } } \right)\)
• C) \(\frac { \partial z } { \partial s } = \left( 8 t \cos ( \theta ) + \frac { s e ^ { \gamma } \sin ( \theta ) } { \sqrt { s ^ { 2 } + t ^ { 2 } } } \right)\)
• D) \(\frac { \partial z } { \partial s } = e ^ { \gamma } \left( \cos ( \theta ) + \frac { s \sin ( \theta ) } { \sqrt { s ^ { 2 } - t ^ { 2 } } } \right)\)
• E) \(\frac { \partial z } { \partial s } = e ^ { \gamma } \left( t \cos ( \theta ) - \frac { s \sin ( \theta ) } { \sqrt { s ^ { 2 } + t } } \right)\)

Understand the different negative behaviors and effects within teams and groups, such as the bad apple effect, free rider effect, and sucker effect.

Identify the characteristics and consequences of groupthink.

Recognize the role of cohesiveness in teams and its impact on team productivity and decision-making.

Distinguish between various team dysfunctions, including lack of accountability, avoidance of responsibility, and absence of trust.

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Definitions:

Paid-in Capital

The total amount of money that shareholders have invested in a company through the purchase of its stock, not including the stock's par or face value.

Retained Earnings

Retained earnings are the portion of a company's profits that are kept or retained within the company for reinvestment in business operations, rather than being paid out as dividends to shareholders.

Retained Earnings

The portion of a company’s profits that is kept or retained and not paid out as dividends to shareholders, often used for reinvestment.

Cumulative Net Income

The total amount of net income earned by a company over a specified period, typically since its inception.