Find All Pairs of Functions in This List That Are $n ^ { 2 } + \log n , 2 ^ { n } + 3 ^ { n } , 100 n ^ { 3 } + n ^ { 2 } , n ^ { 2 } + 2 ^ { n }$

question 47

Short Answer

Find all pairs of functions in this list that are of the same order: $n ^ { 2 } + \log n , 2 ^ { n } + 3 ^ { n } , 100 n ^ { 3 } + n ^ { 2 } , n ^ { 2 } + 2 ^ { n }$ , $n ^ { 2 } + n ^ { 3 } \cdot 3 n ^ { 3 } + 2 ^ { n }$

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Definitions:

Decentration

The cognitive ability to consider multiple aspects of a situation simultaneously, crucial for developing logic in children.

Egocentric

A developmental stage where an individual is unable to differentiate between their own perspective and that of others, often seen in early childhood.

Concrete-Operational Children

A stage in Piaget's theory of cognitive development (ages 7-12) where children gain the ability to think logically about concrete events.

Mainstreaming

The practice of placing children with special education needs in regular educational settings with non-disabled peers, as much as possible.