Evaluate the Line Integral Over the Given Curve $C$ $$\int _ { C } ( 5 x + 4 y ) d s ; C : \mathbf { r } ( t ) = ( t - 5 ) \mathbf { i } + t \mathbf { j } , 0 \leq t \leq 3$$

question 23

Multiple Choice

Evaluate the line integral over the given curve $C$ .
$$\int _ { C } ( 5 x + 4 y ) d s ; C : \mathbf { r } ( t ) = ( t - 5 ) \mathbf { i } + t \mathbf { j } , 0 \leq t \leq 3$$

• A) \(- \frac { 9 } { 2 }\)
• B) \(- \frac { 69 } { 2 } \sqrt { 2 }\)
• C) \(\frac { 231 } { 2 } \sqrt { 2 }\)
• D) \(\frac { 81 } { 2 }\)

Assess leadership theories based on their focus on follower characteristics.

Differentiate between descriptive and prescriptive leadership theories.

Evaluate the moral and ethical considerations in defining leadership.

Acknowledge that leadership can exist outside formal managerial roles.

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Definitions:

Terrorists

Individuals who use violence and intimidation, especially against civilians, in the pursuit of political aims.

Hijackers

Individuals who unlawfully seize control of a vehicle, such as a plane or ship, often to reach a particular goal or demand.

Hydrocarbon Combustions

The chemical process in which hydrocarbons react with oxygen to produce carbon dioxide, water, and heat.

Nitroglycerin Explosions

The sudden and violent release of energy due to the rapid decomposition of nitroglycerin, a highly explosive chemical compound used in dynamites and propellants.