Sketch the graph of the function and compare it to the contour map. (If an answer does not exist, enter DNE. Select Update Graph to see your response plotted on the screen. Select the Submit button to grade your response.) (Write an equation for the cross section at z = 2 using x and y.) (Write an equation for the cross section at z = 4 using x and y.) (Write an equation for the cross section at z = using x and y.) (Write an equation for the cross section at y = using x and z.) (Write an equation for the cross section at x = using y and z.)
Sketch the graph of the function and compare it to the contour map. (If an answer does not exist, enter DNE. Select Update Graph to see your response plotted on the screen. Select the Submit button to grade your response.) (Write an equation for the cross section at z = 2 using x and y.) (Write an equation for the cross section at z = 4 using x and y.) (Write an equation for the cross section at z = using x and y.) (Write an equation for the cross section at y = using x and z.) (Write an equation for the cross section at x = using y and z.)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
EQUATION: f(x, y) = x2 + 9y2
![### Exercise: Graphing Functions and Contour Maps
#### Instructions:
**Sketch the graph of the function and compare it to the contour map. (If an answer does not exist, enter DNE. Select "Update Graph" to see your response plotted on the screen. Select the "Submit" button to grade your response.)**
1. **(Write an equation for the cross section at \( z = 2 \) using \( x \) and \( y \).)**
- [Text Box]
2. **(Write an equation for the cross section at \( z = 4 \) using \( x \) and \( y \).)**
- [Text Box]
3. **(Write an equation for the cross section at \( z = 9 \) using \( x \) and \( y \).)**
- [Text Box]
4. **(Write an equation for the cross section at \( y = 0 \) using \( x \) and \( z \).)**
- [Text Box]
5. **(Write an equation for the cross section at \( x = 0 \) using \( y \) and \( z \).)**
- [Text Box]
In this exercise, you are required to write equations for the cross-sections of a function given specific constraints. A cross-section is a two-dimensional view of a three-dimensional object, created by slicing through the object at a certain point or along a certain axis.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa2eee30e-7760-4146-894b-912e2799cdb0%2Fa2b67f37-3296-4976-af41-739bfe42ab41%2F6yiz515_processed.png&w=3840&q=75)
Transcribed Image Text:### Exercise: Graphing Functions and Contour Maps
#### Instructions:
**Sketch the graph of the function and compare it to the contour map. (If an answer does not exist, enter DNE. Select "Update Graph" to see your response plotted on the screen. Select the "Submit" button to grade your response.)**
1. **(Write an equation for the cross section at \( z = 2 \) using \( x \) and \( y \).)**
- [Text Box]
2. **(Write an equation for the cross section at \( z = 4 \) using \( x \) and \( y \).)**
- [Text Box]
3. **(Write an equation for the cross section at \( z = 9 \) using \( x \) and \( y \).)**
- [Text Box]
4. **(Write an equation for the cross section at \( y = 0 \) using \( x \) and \( z \).)**
- [Text Box]
5. **(Write an equation for the cross section at \( x = 0 \) using \( y \) and \( z \).)**
- [Text Box]
In this exercise, you are required to write equations for the cross-sections of a function given specific constraints. A cross-section is a two-dimensional view of a three-dimensional object, created by slicing through the object at a certain point or along a certain axis.
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