Find the Centroid of the Region Bounded by the Given $$y = 8 \sin 5 x , y = 0 , x = 0 , x = \frac { \pi } { 5 }$$

question 34

Multiple Choice

Find the centroid of the region bounded by the given curves. Select the correct answer.
$$y = 8 \sin 5 x , y = 0 , x = 0 , x = \frac { \pi } { 5 }$$

• A) \(( - 0.3146,0.7854 )\)
• B) \(( 0.3146,25.1328 )\)
• C) \(( 2.5130,0.3146 )\)
• D) \(( - 2.5130,25.1328 )\)
• E) \(( 0.2513,2.5133 )\)

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Definitions:

Scenario Analysis

A method of evaluating potential future scenarios by contemplating various possible results, often used for strategic planning purposes.

Simulation Analysis

A statistical method that involves running multiple scenarios of a model in order to estimate the probability of different outcomes.

Sensitivity Analysis

A financial modeling tool used to evaluate how different values of an independent variable affect a particular dependent variable under a given set of assumptions.

NPV

Net Present Value, a method used in capital budgeting to evaluate the profitability of an investment or project.