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:

Necessary

Something that is essential or required in a particular situation or for achieving a specific outcome.

Necessaries

That which is reasonably necessary for a minor’s proper and suitable maintenance, in view of the income level and social position of the minor’s family.

Reasonable Value

The fair or market value of goods or services, assessed based on what a reasonable buyer would be willing to pay under similar circumstances.

Lacked Capacity

Refers to a situation where an individual does not have the legal ability to enter into a binding contract, often due to age, mental condition, or intoxication.