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Let f(x,y)=xf ( x , y ) = x , and Let

question 177

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Let f(x,y) =xf ( x , y ) = x , and let R={(x,y) 0x1,0y1}R = \{ ( x , y ) \mid 0 \leq x \leq 1,0 \leq y \leq 1 \} . Let R be partitioned into two subrectangles by the line x=14x = \frac { 1 } { 4 } , and let (xi,yj) \left( x _ { i } ^ { * } , y _ { j } ^ { * } \right) be the center of Rij. Calculate the double Riemann sum of f.


Definitions:

Issuing Corporation

A company that offers its shares to the public through the issuance of equity securities in a market.

Convertible Bonds

Bonds that can be converted into a predetermined number of the issuing company's shares, typically at the discretion of the bondholder.

Issuing Corporation's Stock

The process by which a company offers its shares to the public for the first time or issues additional shares in the market.

Par Value

The face value of a bond or stock as stated by the issuing company, unrelated to market value.

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