Find the Domain and Range of the Function $f ( x , y , z ) = \sqrt { 4 - x ^ { 2 } - y ^ { 2 } - z ^ { 2 } }$

question 124

Multiple Choice

Find the domain and range of the function $f ( x , y , z ) = \sqrt { 4 - x ^ { 2 } - y ^ { 2 } - z ^ { 2 } }$ .

• A) \(\begin{array} { l }
• D = \left\{ ( x , y , z ) \mid x ^ { 2 } + y ^ { 2 } + z ^ { 2 } \leq 4 \right\} \\
• R = \{ w \mid 0 \leq w \leq 2 \}
• \end{array}\)
• B) \(\begin{array} { l }
• D = \left\{ ( x , y , z ) \mid x ^ { 2 } + y ^ { 2 } + z ^ { 2 } \leq 4 \right\} \\
• R = \{ w \mid 0 \leq w \}
• \end{array}\)
• C) \(\begin{array} { l }
• D = \left\{ ( x , y , z ) \mid x ^ { 2 } + y ^ { 2 } + z ^ { 2 } \geq 4 \right\} \\
• R = \{ w \mid 0 \leq w \}
• \end{array}\)
• D) \(\begin{array} { l }
• D = \left\{ ( x , y , z ) \mid x ^ { 2 } + y ^ { 2 } + z ^ { 2 } \geq 4 \right\} \\
• R = \{ w \mid 0 \leq w \leq 2 \}
• \end{array}\)

---

Definitions:

Credit Terms

The conditions under which credit will be extended to a borrower, including the repayment schedule, interest rate, and duration of the loan.

ACP

Average Collection Period, measuring the average number of days it takes a company to collect its accounts receivable.

Credit Periods

The time frame allowed by a seller for a buyer to pay for goods or services received, without incurring interest or penalties.

High-demand Products

Products that are in large demand by consumers, often leading to quick sales and potentially higher prices.