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.

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Definitions:

Nucleic Acid Derivatives

Molecules derived from nucleic acids, such as nucleotides, which play essential roles in genetic information storage and energy transfer.

Polypeptides

Chains of amino acids linked by peptide bonds, serving as building blocks for proteins.

Binding Protein

A protein that transports, supports the activity of, or anchors other molecules, particularly hormones, drugs, or other proteins.

Lipid-Soluble

Refers to molecules capable of dissolving in fats, oils, and non-polar solvents, which allows them to easily pass through cell membranes.