A heavy industrial plant located in the center of a small town emits particulate matter into the atmosphere. Suppose that the concentration of fine particulate matter (in micrograms per cubic meter) at a point d miles from the plant (see the figure) is given by

C = 50 - 9d²

If the boundaries of the town form a rectangle 4 miles long and 2 miles wide, what is the average concentration of fine particulate matter throughout the town? Express C as a function of x and y, set up a double integral, and evaluate it.

Transcribed Image Text:

X 2 d (x, y)