Find the Centroid of the Region Bounded by the Given $$y = 2 x ^ { 3 } , 2 x + y = 4 , x = 0$$

question 35

Multiple Choice

Find the centroid of the region bounded by the given curves. $$y = 2 x ^ { 3 } , 2 x + y = 4 , x = 0$$

• A) \(\frac { 92 } { 105 } , \frac { 9 } { 75 }\)
• B) \(\frac { 58 } { 75 } , \frac { 370 } { 105 }\)
• C) \(\frac { 28 } { 75 } , \frac { 184 } { 105 }\)
• D) \(\frac { 370 } { 75 } , \frac { 58 } { 105 }\)
• E) None of these

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Definitions:

Piaget's Stages

A theory describing the cognitive development of children, segmented into four stages: sensorimotor, preoperational, concrete operational, and formal operational.

Sensorimotor Stage

In Piaget’s theory, the stage (from birth to about 2 years of age) during which infants know the world mostly in terms of their sensory impressions and motor activities.

Concrete Operational

A stage in cognitive development, according to Piaget, where children aged about 7-12 years develop logical thinking but are still not capable of abstract thinking.

Motor Development

The process through which humans progress through a predictable set of movements and physical abilities throughout their lifespan.