First find the critical points of <em>f</em> :
so the point (1, 0) is the only critical point, at which we have
Next check for critical points along the boundary, which can be found by converting to polar coordinates:
Find the critical points of <em>g</em> :
where <em>n</em> is any integer. We get 4 critical points in the interval [0, 2π) at
So <em>f</em> has a minimum of -7 and a maximum of 299.
Answer:
8,566,379,470 people
Step-by-step explanation:
Let's start simple. In order to find the population increase on January 1, 2006, we need to multiply 6,486,915,022 by 1.4% and add it to 6,486,915,022.
Note that the above two steps gives the same answer as 6,486,915,022*1.014.
So we need to do this for each year. 20 years pass between 1/1/2005 and 1/1/2025.
We need to do 6,486,915,022*1.014*1.014*1.014... 20 times.
This is equivalent to .
Multiplying it out gives us 8566379470.2 = 8,566,379,470 people.