#### To determine

**To find:**

The area between the two curves.

#### Answer

The area between the two curves represents the increase in population over 10 years’ period, and it is 8822.

#### Explanation

**1) Concept:**

Use integration to evaluate the area between the two curves.

**2) Given:**

The equations bt=2200+52.3t+0.74t2 and dt=1460+28.8t

**3) Calculation:**

Consider the interval [0,10]. In this interval, bt≥d(t)

A= ∫010(b(t) - d(t)) dt

=∫010(2200+52.3t+0.74t2)-(1460+28.8t) dt

=∫010( 740+23.5t+0.74t2) dt

= 740t+23.52t2+0.743t3010

=7400+1175+7403=8821+23≈8822

Therefore area = 8822

It represents the increase in population over 10 years’ period.

**Conclusion:**

The increase in population over 10 year period is represented by the area between the two curves. It is 8822.