The Level of Nitrogen Dioxide Present on a Certain June $$A ( t ) = 0.03 t ^ { 3 } ( t - 7 ) ^ { 4 } + 64.8 \quad 0 \leq t \leq 7$$

question 48

Short Answer

The level of nitrogen dioxide present on a certain June day in downtown Megapolis is approximated by
$$A ( t ) = 0.03 t ^ { 3 } ( t - 7 ) ^ { 4 } + 64.8 \quad 0 \leq t \leq 7$$
where $A ( t )$ is measured in pollutant standard index and $t$ is measured in hours with $t = 0$ corresponding to 7 a.m. What is the average level of nitrogen dioxide in the atmosphere from 1 a.m. to 2 p.m. on that day? Round to three decimal places.

---

Definitions:

Kant

A reference to Immanuel Kant, an 18th-century German philosopher known for his work in ethics, particularly his formulation of the Categorical Imperative.

Principles

Fundamental truths or propositions that serve as the foundation for a system of belief, behavior, or reasoning.

Formulate

To formulate is to develop or create a plan, statement, strategy, or expression carefully and with precision.

Judgments

Formal decisions or conclusions made by a court following a legal proceeding.