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Solve the Problem RR Is the Parallelepiped Enclosed by the Planes 6x+yz=1,6x+yz=3,x+8y+z=2,x+8y+z=56 x + y - z = 1,6 x + y - z = 3 , - x + 8 y + z = - 2 , - x + 8 y + z = 5

question 229

Multiple Choice

Solve the problem.
-Evaluate
 Solve the problem. -Evaluate    where  R  is the parallelepiped enclosed by the planes  6 x + y - z = 1,6 x + y - z = 3 , - x + 8 y + z = - 2 , - x + 8 y + z = 5   x - y + 3 z = - 1 , x - y + 3 z = 6  A)   \frac { 216 } { 161 }  B)   \frac { 225 } { 161 }  C)   \frac { 28 } { 23 }  D)   \frac { 176 } { 161 }

where RR is the parallelepiped enclosed by the planes 6x+yz=1,6x+yz=3,x+8y+z=2,x+8y+z=56 x + y - z = 1,6 x + y - z = 3 , - x + 8 y + z = - 2 , - x + 8 y + z = 5 xy+3z=1,xy+3z=6x - y + 3 z = - 1 , x - y + 3 z = 6


Definitions:

Money Demanded

The total amount of money that households and businesses wish to hold at a given time, often influenced by interest rates.

Fed Buys Government Bonds

The action by the Federal Reserve to purchase government securities from the market, which increases the money supply and lowers interest rates.

Banking System Reserves

The portion of deposits that banks must hold in reserve and not lend out, often held at the central bank to ensure liquidity.

Money Supply

The sum of financial resources, comprising cash and deposits in banks, accessible in an economy at a particular moment.

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