russian population

1. RUSSIAN POPULATION

2. Russian population

4. First function

5. f(x) =-0.0002338586461147x^2+ 0.09354393590286x + 12.100313216195(0≤x≤32) • First derivative is f’(x) = -0.0004677172922294x+0.09354393590286 (0≤x≤32) • Second derivative is f”(x) = -0.0004677172922294 (0 ≤x≤32) • Domain of f(x) = {x є R; 0 ≤x≤32} • Range of f(x) = {y є R; 11.99≤y≤14.87}

6. Second Function

7. f(x)=16.47680512×0.996935533657^x ( x≥32 ) • First derivative: f’(x) =16.47680512×0.996935533657^x × ln(0.996935533657) • Second derivative: F”(x) =16.47680512×0.996935533657^x × ( ln(0.996935533657))^2 • Domain of f(x) = {x є R; 32 ≤x} • Range of f(x) = {y є R; 14.87≤y<0}

8. Population growth(%)

11. Birth rate vs Death rate

13. SPASIBO !