Find the Critical Number(s), If Any of the Function $f ( t ) = 3 t ^ { \frac { 3 } { 4 } } - 3 t ^ { \frac { 1 } { 4 } }$

question 63

Multiple Choice

Find the critical number(s) , if any of the function $f ( t ) = 3 t ^ { \frac { 3 } { 4 } } - 3 t ^ { \frac { 1 } { 4 } }$ .

• A) \(\frac { 1 } { 3 }\)
• B) \(\frac { 1 } { 9 }\)
• C) \(0 , \frac { 1 } { 3 }\)
• D) \(0 , \frac { 1 } { 9 }\)

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Definitions:

African Slaves

Enslaved people brought from Africa to the Americas and other places through the transatlantic slave trade, used for labor from the 16th to the 19th century.

Indentured Servants

Laborers who worked under a contract for a certain period of time, usually without pay but in exchange for free passage to a new country, common during the colonial period in America.

Mercantilism

An economic theory and practice dominant in Europe from the 16th to the 18th century, focusing on building a nation's wealth by exporting more than it imports and accumulating precious metals.

British Parliament

The supreme legislative body in the United Kingdom, consisting of two houses: the House of Commons and the House of Lords.