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musickatia [10]
3 years ago
7

Because factories were usually located in cities, industrialization went hand-in-hand with –. The industrial economy helped crea

te robust growth in the United States for many decades. Plentiful manufacturing and industrial jobs meant that – could enter the job market making a good wage. But as the economy began to transform once more, from an industrial to a postindustrial system, the nature of work changed as well. – led to a decline in industrial jobs: from 18 million in 1990 to – by 2017.
Advanced Placement (AP)
1 answer:
Wittaler [7]3 years ago
5 0

Answer:

Because factories were usually located in cities, industrialization went hand-in-hand with – urbanization. The industrial economy helped create robust growth in the United States for many decades. Plentiful manufacturing and industrial jobs meant that –workers could enter the job market making a good wage. But as the economy began to transform once more, from an industrial to a post-industrial system, the nature of work changed as well. –This led to a decline in industrial jobs: from 18 million in 1990 to –12.4 million by 2017.

Explanation:

a) Industrialization: This term refers to the development of industries, which is characterized by economic growth, more efficient division of labor, mass production, and the use of technological innovations to solve problems.  Industrialization was triggered by the evolution of capitalism and the agricultural revolution.

b) Urbanization: Is the outcome of a process that see the movement of the population from rural areas to towns and cities.  It is usually caused by industrial growth, availability of employment and social amenities, commercialization of activities, modernization, etc.

c) Industrial Economy: This is an economy characterized by the building of industries, where the factors of production are no longer limited to land, labor, capital, and natural resources, but include the use of technology and knowledge.

d) Post-Industrial System: Post-industrial system is an economic system of the period within an industrialized economy or nation witnessing a declining manufacturing sector and increasing activities in services, information, and research, resulting to de-industrialization.

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2. Find the solution of each differential equation. (a) y/2y-8y = 0 (b) 25y/- 20y + 4y = 0 (c) y + 2y + 2y = 0 2. Find the solut
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Each of these ODEs is linear and homogeneous with constant coefficients, so we only need to find the roots to their respective characteristic equations.

(a) The characteristic equation for

y'' - 2y' - 8y = 0

is

r^2 - 2r - 8 = (r - 4) (r + 2) = 0

which arises from the ansatz y = e^{rx}.

The characteristic roots are r=4 and r=-2. Then the general solution is

\boxed{y = C_1 e^{4x} + C_2 e^{-2x}}

where C_1,C_2 are arbitrary constants.

(b) The characteristic equation here is

25r^2 - 20r + 4 = (5r - 2)^2 = 0

with a root at r=\frac25 of multiplicity 2. Then the general solution is

\boxed{y = C_1 e^{2/5\,x} + C_2 x e^{2/5\,x}}

(c) The characteristic equation is

r^2 + 2r + 2 = (r + 1)^2 + 1 = 0

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Recall Euler's identity,

e^{ix} = \cos(x) + i \sin(x)

Then we can rewrite the solution as

y = C_1 e^{-x} (\cos(x) + i \sin(x)) + C_2 e^{-x} (\cos(x) - i \sin(x))

or even more simply as

\boxed{y = C_1 e^{-x} \cos(x) + C_2 e^{-x} \sin(x)}

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1 year ago
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Personality is best characterized by an individual's internal experiences.

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