Answer: 7118
Step-by-step explanation:
Given
Birth rate is [tex]b(t)=2000e^{0.023t}[/tex]
Death rate is [tex]d(t)=1410e^{0.017t}[/tex]
Area between them is given by
[tex]\Rightarrow A=\int _0^{10}2000e^{0.023t}-1410e^{0.017t}dt\\\Rightarrow A=\int _0^{10}2000e^{0.023t}dt-\int _0^{10}1410e^{0.017t}dt\\\Rightarrow A=22486.95652 -15368.99999\\\Rightarrow A=7117.95652[/tex]
Thus, the area between the curves is [tex]7117.95652\approx 7118[/tex]
