area between curves 20.7

Question

The population of a town t years after the beginning of the year 2000 is given by P(t) = 5238e0.039t.

Find the AVERAGE population of the town from the beginning of the year 2001 to the beginning of the year

2007.

  

ROUND YOUR ANSWER TO THE NEAREST

PERSON.

The average population was

enter your response here.

Answer 1

Avg=∫^b_aP(t)dt/(b-a) =∫⁷₁5238e^0.039tdt/(7-1) = (873/.039)(e^0.039(7)-e^0.039) ≈6136