SOLUTION: The number of people in a city of 200,000 who have heard a weather bulletin within t hours of its first broadcast is N(t) = 200,000 (1-e^(-0.5t)). Find N(0.5) and N’(0.5) and inte

Algebra ->  Rate-of-work-word-problems -> SOLUTION: The number of people in a city of 200,000 who have heard a weather bulletin within t hours of its first broadcast is N(t) = 200,000 (1-e^(-0.5t)). Find N(0.5) and N’(0.5) and inte      Log On


   



Question 1125308: The number of people in a city of 200,000 who have heard a weather bulletin within t hours of its first broadcast is N(t) = 200,000 (1-e^(-0.5t)).
Find N(0.5) and N’(0.5) and interpret your answers.
Find N(3) and N’(3) and interpret your answers.

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!






The rest is just arithmetic. Whichever derivative evaluates to the larger number is the point in time where the word is spreading faster.


John

My calculator said it, I believe it, that settles it