Question

The ozone level (in parts per billion) on a summer day in a certain metropolitan area is given by P(t)=170+18t−2t^2 , where t is time in hours and t=0 corresponds to 9 AM.

(A) Use the four-step process to find P′(t).
(B) Find P(4 ) and P′(4).

Answer 1

Explanation:

P'(t) =
`- 4t^(2) + 18`

t = 0 ⇒ P'(t) = 18

t = 4 ⇒ P = 210

t = 4 ⇒ P' = 2