The average value of a function f(x, y) over a regular region R is defined to be

Use this definition of average value in Problem

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 - 0.5d²

Find the average concentration of fine particulate matter (to one decimal place) over the region R.

Transcribed Image Text:

R f(x,y)dA If a R dA