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sashaice [31]
3 years ago
11

4. Why will some counties grow and others decline in population?

Advanced Placement (AP)
1 answer:
viktelen [127]3 years ago
6 0
A population decline (or depopulation) in humans is a reduction in a human population caused by events such as long-term demographic trends, as in sub-replacement fertility, urban decay, white flight, or rural flight, or due to violence, disease, or other catastrophes.[1] Depopulation can be largely beneficial for a region, allocating more resources and less competition for the new population, in addition to exempting the disadvantages of overpopulation, such as increased traffic, pollution, real estate prices, and environmental destruction. Per-capita wealth may increase in depopulation scenarios[2][3][4], in addition to improvement of environmental quality-of-life indicators[5] such as improved air and water quality, reforestation, return of native species, etc. The accompanying benefits of depopulation have been termed shrink and prosper,[6] with benefits being similar to the post-Civil War Gilded Age, post-World War I economic boom, and the post-World War II economic boom.

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1. f has an inflection point at x = -1.5

Explanation:

Let's analyze each statement given.

1. f has an inflection point at x = -1.5 --> TRUE

An inflection point is a point in which the function f(x) changes concavity: this means that the first derivative of a function has a relative minimum or maximum, and therefore the second derivative is zero, f''(x_0)=0.

In this case, we see that at the point

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The first derivative is flat: this means that at this point, the second derivative is zero, so this is an inflection point.

2. f is increasing on the interval from x = -3.2 to x = -4.5. --> FALSE.

We simply don't know this: in fact, we cannot see the graph of the derivative between -4.5 and -3.2, therefore we don't know if the function is increasing or not.

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