At What Points Is the Given Function Continuous?
- $$f ( x , y , z ) = \frac { e ^ { x } } { e ^ { y + z } }$$

question 68

Multiple Choice

At what points is the given function continuous?
- $$f ( x , y , z ) = \frac { e ^ { x } } { e ^ { y + z } }$$

• A) All \(( x , y , z )\) in the first octant
• B) All \(( x , y , z )\)
• C) All \(( x , y , z )\) such that \(x \geq 0\) and \(y + z \geq 0\)
• D) All \(( x , y , z )\) such that \(x - y - z \geq 0\)

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Definitions:

HPR

Holding Period Return, a measure of the total return received from holding an asset or portfolio of assets over a specified period of time.

Dividend

A portion of a company's earnings distributed to its shareholders, typically in the form of cash payments or additional shares.

Dollar-Weighted Return

A method of calculating an investment's return that considers the timing and amount of each investment or withdrawal made.

Geometric Average Return

The average rate of return per period on an investment, calculated geometrically to account for compounding effects.