Evaluate $\iint _ { S } 4 x y d S$

question 68

Multiple Choice

Evaluate $\iint _ { S } 4 x y d S$ , where $S$ is $z = 5 - x - y$ , first octant.

• A) \(\frac { 125 \sqrt { 2 } } { 2 }\)
• B) \(\frac { 4,625 \sqrt { 2 } } { 2 }\)
• C) \(\frac { 4,625 \sqrt { 3 } } { 2 }\)
• D) \(\frac { 625 \sqrt { 3 } } { 6 }\)

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Definitions:

Cost Of Debt

The effective rate that a company pays on its current debt, which can include bonds, loans, and other forms of debt; it's a crucial component in the calculation of the company’s cost of capital.

Debt Ratio

A financial ratio that measures the extent of a company’s leverage, calculated by dividing total liabilities by total assets.

Total Debt

The sum of all liabilities, both short and long term, that a company owes.

Cash In Hand

The amount of liquid money or physical currency that a company or individual has readily available.