(1) The integral is straightforward; <em>x</em> ranges between two constants, and <em>y</em> ranges between two functions of <em>x</em> that don't intersect.
(2) First find where the two curves intersect:
<em>y</em> ² - 4 = -3<em>y</em>
<em>y</em> ² + 3<em>y</em> - 4 = 0
(<em>y</em> + 4) (<em>y</em> - 1) = 0
<em>y</em> = -4, <em>y</em> = 1 → <em>x</em> = 12, <em>x</em> = -3
That is, they intersect at the points (-3, 1) and (12, -4). Since <em>x</em> ranges between two explicit functions of <em>y</em>, you can capture the area with one integral if you integrate with respect to <em>x</em> first:
(3) No special tricks here, <em>x</em> is again bounded between two constants and <em>y</em> between two explicit functions of <em>x</em>.
Answer:
Two forces that affect the economic stability of cities are unemployment and inflation.
Unemployment is rate of people available for and looking for work, but without a job. In turn, inflation is the constant increase in the prices of goods and services during a certain period of time.
Both variables negatively affect the economic stability of cities, since, on the one hand, unemployment limits the productive capacity of the city and causes less money to circulate in the internal economy, limiting the population's consumption capacity and therefore hence the income of the city's companies. In turn, inflation causes a rise in prices that limits the consumption possibilities of the population, as each individual needs more money to acquire the same goods.
Both problems have a direct correlation with the population increase in cities: unemployment because an excessive increase causes an excess of people looking for work in a market that does not adapt to this need; and inflation because the higher the demand for the products, the higher the price of them.
The figure is not marked in any way that would indicate it is a parallelogram. If we assume it is, then
... BE = DE
... 10x -3 = 8x -1 . . substitute the given expressions
... 2x = 2 . . . . . . . . add 3-8x
... x = 1 . . . . . . . . . . divide by 2
The appropriate choice is ...
... A. 1 unit
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Since the figure is not marked to indicate BE=DE, you could argue that any answer is correct.
Homeostasis is literally maintaining normal body function. For example, sweating because you are hot, to maintain the right body temperature(which is a body function)c is maintaining homeostasis.
