Find the domain of the following function. 2 f(x,y)=√125-5x - 5y Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. 2 OA. {(x,y): x² + y² z 2 2 OB. {(x,y): x +y # OC. {(x,y): x* OD. {(x,y): x² + y² s 2 2 O E. R² and y # (Use a comma to separate answers as needed.)
Find the domain of the following function. 2 f(x,y)=√125-5x - 5y Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. 2 OA. {(x,y): x² + y² z 2 2 OB. {(x,y): x +y # OC. {(x,y): x* OD. {(x,y): x² + y² s 2 2 O E. R² and y # (Use a comma to separate answers as needed.)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![**Find the Domain of the Following Function.**
\[ f(x,y) = \sqrt{125 - 5x^2 - 5y^2} \]
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Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice.
- **A.** \(\{(x,y): x^2 + y^2 \geq \boxed{\quad} \}\)
- **B.** \(\{(x,y): x^2 + y^2 \neq \boxed{\quad} \}\)
- **C.** \(\{(x,y): x \neq \boxed{\quad} \text{ and } y \neq \boxed{\quad}\} \)
*(Use a comma to separate answers as needed.)*
- **D.** \(\{(x,y): x^2 + y^2 \leq \boxed{\quad} \}\)
- **E.** \(\mathbb{R}^2\)
There are no graphs or diagrams present in the image.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F99e37c92-095a-4cae-adf6-01aeaaa5668c%2F91d1190d-0ac0-4d62-b004-0e929fb041fe%2Fzkpte4_processed.png&w=3840&q=75)
Transcribed Image Text:**Find the Domain of the Following Function.**
\[ f(x,y) = \sqrt{125 - 5x^2 - 5y^2} \]
---
Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice.
- **A.** \(\{(x,y): x^2 + y^2 \geq \boxed{\quad} \}\)
- **B.** \(\{(x,y): x^2 + y^2 \neq \boxed{\quad} \}\)
- **C.** \(\{(x,y): x \neq \boxed{\quad} \text{ and } y \neq \boxed{\quad}\} \)
*(Use a comma to separate answers as needed.)*
- **D.** \(\{(x,y): x^2 + y^2 \leq \boxed{\quad} \}\)
- **E.** \(\mathbb{R}^2\)
There are no graphs or diagrams present in the image.
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