Air quality. An industrial plant is located on the lakefront of a city. Let (0, 0) be the coordinates of the plant. The city’s residents live in the region R bounded by y = 0 and y = 10 − 0.1 x 2 . (Each unit on the x and y axes represents 1 mile.) Suppose that the concentration of fine particulate matter (in micrograms per cubic meter) at a point d miles from the plant is given by C = 60 − 0.5 d 2 Find the average concentration of fine particulate matter (to one decimal place) over the region R.
Air quality. An industrial plant is located on the lakefront of a city. Let (0, 0) be the coordinates of the plant. The city’s residents live in the region R bounded by y = 0 and y = 10 − 0.1 x 2 . (Each unit on the x and y axes represents 1 mile.) Suppose that the concentration of fine particulate matter (in micrograms per cubic meter) at a point d miles from the plant is given by C = 60 − 0.5 d 2 Find the average concentration of fine particulate matter (to one decimal place) over the region R.
Solution Summary: The author calculates the average concentration of fine particulate matter over the region R.
Air quality. An industrial plant is located on the lakefront of a city. Let (0, 0) be the coordinates of the plant. The city’s residents live in the region R bounded by y = 0 and y = 10 − 0.1x2. (Each unit on the x and y axes represents 1 mile.) Suppose that the concentration of fine particulate matter (in micrograms per cubic meter) at a point d miles from the plant is given by
C
=
60
−
0.5
d
2
Find the average concentration of fine particulate matter (to one decimal place) over the region R.
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