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 45

Essay

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:

Meninges

Layers of protective tissue that cover the brain and spinal cord, including the dura mater, arachnoid mater, and pia mater.

Brain Stem

The Brain Stem is a fundamental part of the brain, connecting the brain to the spinal cord, and controls many basic life functions such as breathing, heart rate, and blood pressure.

Parasympathetic Nervous System

Part of the autonomic nervous system that conserves energy as it slows the heart rate, increases intestinal and gland activity, and relaxes sphincter muscles.

Digestion

The biological process by which the body breaks down food into absorbable forms for energy, growth, and cell repair.