Particulate matter emitted from a smokestack is distributed in such a way that r miles from the stack, the pollution density is p(r) units per square mile, where

a. What is the total amount of pollution within a 3-mile radius of the smokestack?

b. Suppose a health agency determines that it is unsafe to live within a radius L of the smokestack where the pollution density is at least four units per square mile. What is L, and what is the total amount of pollution in the unsafe zone?

Transcribed Image Text:

p(r): 200 5+2r²