Find the Value of C in the Interval [0, 2]

question 21

Essay

Find the value of c in the interval [0, 2] that satisfies the Mean Value Theorem. f(x) = 3x² + 12

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Definitions:

Productivity Growth

The rate at which a company or country can produce more goods or services with the same amount of labor and resources.

U.S.

The United States of America is a country consisting of 50 states, a federal district, five major self-governing territories, and various possessions, known for its significant influence in global political, cultural, and economic affairs.

Percent

A mathematical term used to describe a number as a fraction of 100.

Per-Worker Production Function

A mathematical relation showing the output produced per worker as a function of the level of capital per worker, holding technology constant.