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

---

Definitions:

Psychological Characteristics

Traits that describe an individual's mental attributes, patterns of thought, emotions, and behaviors.

Genetic Factors

Components of an organism's genetic makeup that influence its characteristics, including physical appearance, behavior, and susceptibility to certain diseases.

Theories

Systematic sets of ideas and principles designed to explain certain phenomena or observations, which are supported by evidence and can predict outcomes or behaviors.

Child Development

The study of how children grow, change, and learn across different aspects of development, including physical, cognitive, and social-emotional domains.