Find the Average Value of F(x) = E^4x Over the Interval

question 209

Multiple Choice

Find the average value of f(x) = e^4x over the interval [1, 3]. Approximate value to two decimal places.

• A) 20,337.52
• B) 40,675.05
• C) 20,344.35
• D) 20,351.17
• E) 6.82

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Definitions:

Principle Of Population

A theory suggesting that population growth is potentially exponential while the growth of the food supply or other resources is linear.

Subsistence

The minimum level of resources (food, shelter, clothing) that is required for individuals to survive.

Thomas Malthus

An English scholar and demographer known for his theory that population growth will always tend to outrun the food supply and that betterment of humankind is impossible without strict limits on reproduction.

Total Fertility Rate

An estimate of the average number of children a woman will have over her lifetime, based on current birth rates.