Find the Centroid of the Region Bounded by the Given $$y = 6 \sin 5 x , y = 0 , x = 0 , x = \frac { \pi } { 5 }$$

question 47

Multiple Choice

Find the centroid of the region bounded by the given curves. $$y = 6 \sin 5 x , y = 0 , x = 0 , x = \frac { \pi } { 5 }$$

• A) \(( - 1.8848,14.1372 )\)
• B) \(( 0.3146,14.1372 )\)
• C) \(( 0.2513,1.885 )\)
• D) \(( - 0.3146,0.7854 )\)
• E) \(( 1.8848,0.3146 )\)

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Definitions:

Butylamine

A primary amine with the formula C4H9NH2, used as an intermediate in the synthesis of pharmaceuticals, pesticides, and other chemicals.

Secondary Amine

A type of amine where the nitrogen atom is attached to two organic substituents and one hydrogen.

Primary Amine

Organic compounds containing nitrogen, characterized by a nitrogen atom attached to one alkyl or aryl group.

Butylethylamine

A compound consisting of butyl and ethyl groups attached to an amine functional group.