Find r' (t) given the following vector function. 
Definitions:
Federal Budget Deficit
The financial shortfall when the federal government's expenditures exceed its revenues in a fiscal year.
Aggregate Supply
The total supply of goods and services available to a particular market from producers at various price levels, in the context of macroeconomic analysis.
Economic Growth
An increase in the capacity of an economy to produce goods and services, compared from one period of time to another.
National Saving
The total amount of savings generated within a country, representing the difference between national income and consumption plus government spending.
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