Sketch the graphs of the functions f and g and find the area of the region enclosed by these graphs and the vertical lines 
and 
. 
Definitions:
Optimistic
Having a positive outlook or expectation about future outcomes or the general situation.
Future Earnings
The projected income a person or company is expected to generate in the future.
Public Saving
The portion of the government's revenue that remains after accounting for government spending.
Private Saving
The portion of households' income that is not spent on consumption but saved for future use.
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