Find the Average Value of the Function Over the Given $f ( x ) = 7 \sqrt [ 3 ] { x }$

question 69

Multiple Choice

Find the average value of the function over the given interval. $f ( x ) = 7 \sqrt [ 3 ] { x }$ on [0,8]

• A) \(\frac { 7 } { 4 }\)
• B) \(\frac { 14 } { 9 }\)
• C) \(\frac { 21 } { 2 }\)
• D) \(\frac { 8 } { 3 }\)
• E) \(\frac { 64 } { 3 }\)

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Definitions:

Cladogenesis

An evolutionary splitting event where a single lineage divides into two distinct lineages, leading to increased biodiversity.

Anagenesis

The gradual evolution of a species to a new form, without branching or diversification into multiple species.

Genetic Variation

The diversity in gene frequencies within a population, which is the raw material for evolution by natural selection.

Colder Regions

Geographic areas characterized by low temperatures, often leading to specific adaptations in living organisms and human societies.