text: ## Plotting using contour in Python
  
  using contour():- In this section, we discuss plotting using contour function which is used to create contour plots. First of all, moving on to this tutorial you should first read what is Contour plots. We will discuss here some equations which can be implemented in Python using contour(). so in this section, we will discuss how to plot a function of a given equation using contour. we will discuss these functions one by one with code in Python and with output.
  
  ## Examples using Contour in Python
  
  1. To plot function f(x,y) = 10-x2-ywhen value of z = [1,6,9]
  
  Python Code:
  ```import numpy as np
  import matplotlib.pyplot as plt
  x = np.linspace(-10, 10, 21)
  y = np.linspace(-10, 10, 21)
  x,y=np.meshgrid(x,y)
  z=10-x**2-y**2levels=np.array([1,6,9])
  cs=plt.contour(x,y,z,levels)
  plt.clabel(cs,inline=1,fontsize=9)
  plt.grid(True)
  plt.axis('scaled')
  plt.xlabel('x-axis')
  plt.ylabel('y-axis')
  plt.title('Level curves of the function f(x,y) =10-x**2-y**2')
  plt.show()```
  `Output:`
   To plot function f(x,y) = 10-x2-y2 when value of z = [1,6,9]
  
  2. To plot function f(x,y) = x2 + y2  when value of z =  [1,6,9]
  
  Python Code:
  ```import matplotlib.pyplot as plt
  import numpy as np
  x = np.linspace(-10, 10, 21)
  y = np.linspace(-10, 10, 21)
  x, y = np.meshgrid(x, y)
  z = x ** 2 + y ** 2levels = np.array([1, 6, 9])
  cs = plt.contour(x, y, z, levels)
  plt.clabel(cs, inline=1, fontsize=9)
  plt.grid(True)
  plt.axis('scaled')
  plt.xlabel('x-axis')
  plt.ylabel('y-axis')
  plt.title('Level curves of the function f(x,y) =x**2+y**2.')
  plt.show()```
  `Output:`
   `Level curves of the function f(x,y) =x**2+y**2`
  ```
  ```
  ```
  ```
  ```
  ```
  ```
  ```
  ```
  ```
  ```
  ```
  ```
  ```
  ```
  ```
  ```
  ```
  ```
  ```
  ```
  ```
  ```
  ```
  ```
  ```
  `3. To plot function f(x,y) = x3-y when value of z = [1,6]`
  
  Python Code:
  ```import matplotlib.pyplot as plt
  import numpy as np
  x = np.linspace(-10, 10, 21)
  y = np.linspace(-10, 10, 21)
  x, y = np.meshgrid(x, y)
  z = x ** 3 - y
  levels = np.array([1, 6])
  cs = plt.contour(x, y, z, levels)
  plt.clabel(cs, inline=1, fontsize=9)
  plt.grid(True)
  plt.axis('scaled')
  plt.xlabel('x-axis')
  plt.ylabel('y-axis')
  plt.title('Level curves of the function f(x,y) =x**3-y')
  plt.show()```
  Output:
  
   `To plot function f(x,y) = x3-y when value of z = [1,6]`
  
  4. To plot function f(x,y) = (x+ y2 ) /4 when value of z = [1,5,8]
  
  Python Code:
  ```import matplotlib.pyplot as plt
  import numpy as np
  x = np.linspace(-10, 10, 21)
  y = np.linspace(-10, 10, 21)
  x,y=np.meshgrid(x,y)
  z=x**2+y**2/4levels=np.array([1,5,8])
  cs=plt.contour(x,y,z,levels)
  plt.clabel(cs,inline=1,fontsize=9)
  plt.grid(True)
  plt.axis('scaled')
  plt.xlabel('x-axis')
  plt.ylabel('y-axis')
  plt.title('Level curves of the function f(x,y) =x**2+y**2/4')
  plt.show()```
  `Output:`
   To plot function f(x,y) = (x2 + y2 ) /4 when value of z = [1,5,8]
  ```
  ```
  ```
  ```
  ```
  ```
  ```
  ```
  ```
  ```
  ```
  ```
  ```
  ```
  ```
  ```
  ```
  ```
  ```
  ```
  ```
  ```
  ```
  ```
  ```
  ```
  `5. To plot function f(x,y) = 4x2+y2  when value of z = [0,1,3,5]`
  
  Python Code:
  ```import matplotlib.pyplot as plt
  import numpy as np
  x = np.linspace(-10, 10, 21)
  y = np.linspace(-10, 10, 21)
  x,y=np.meshgrid(x,y)
  z=4*(x**2)+y**2levels=np.array([0,1,3,5])
  cs=plt.contour(x,y,z,levels)
  plt.clabel(cs,inline=20,fontsize=6)
  plt.grid(True)
  plt.axis('scaled')
  plt.xlabel('x-axis')
  plt.ylabel('y-axis')
  plt.title('Level curves of the function f(x,y) =4*(x**2)+y**2')
  plt.show()```
  `Output:`
  ```
  ```
   `To plot function f(x,y) = 4x2+y2  when value of z = [0,1,3,5]`
  
  6. To plot function f(x,y) = 2-x-y when value of z = [-6,-4,-2,0,2,4,6]
  
  Python Code:
  ```import matplotlib.pyplot as plt
  import numpy as np
  x = np.linspace(-10, 10, 21)
  y = np.linspace(-10, 10, 21)
  x,y=np.meshgrid(x,y)
  z=2-x-y
  levels=np.array([-6,-4,-2,0,2,4,6])
  cs=plt.contour(x,y,z,levels)
  plt.clabel(cs,inline=1,fontsize=9)
  plt.grid(True)
  plt.axis('scaled')
  plt.xlabel('x-axis')
  plt.ylabel('y-axis')
  plt.title('Level curves of the function f(x,y) =2-x-y')
  plt.show()```
  `Output:`
   To plot function f(x,y) = 2-x-y when value of z = [-6,-4,-2,0,2,4,6]
  ```Summary: In this section, we discuss the code for the. In this code first, we need to import numpy and we used numpy as np then we need to import matplotlib which is necessary to plot a graph. so we defined matplotlib as plt. In this matplotlib.pyplot is a collection of functions that make matplotlib work like MATLAB. For every pyplot function makes some change to a figure: e.g., creates a figure, creates a plotting area in a figure, plots some lines in a plotting area, decorates the plot with x and y labels and also clabel to label the curve of the fucntion, the title of the graph, grid to show grid in the graph etc.
  
  ```
explanation: The document provides a detailed tutorial on how to create contour plots in Python using the `contour()` function from the `matplotlib` library. It includes several examples with Python code and corresponding outputs. Each example demonstrates how to plot a specific function and includes the necessary code and the resulting plot.
  
  The document does not contain any math questions or answers to math questions. It is purely instructional and focused on demonstrating how to use the `contour()` function.
distilabel_metadata.content: Evaluate the user given text extract and determine if it contains a math question and optionally and answer to this question.
  
  Output rules:
  
  1. Briefly describe the document and mention if it contains a question or a question and answer.
  2. Finalize the output with: Label: no-question,question,question-and-answer,multiple-question,multiple-question-and-answer
distilabel_metadata.role: system
distilabel_metadata.content: ## Plotting using contour in Python
  
  using contour():- In this section, we discuss plotting using contour function which is used to create contour plots. First of all, moving on to this tutorial you should first read what is Contour plots. We will discuss here some equations which can be implemented in Python using contour(). so in this section, we will discuss how to plot a function of a given equation using contour. we will discuss these functions one by one with code in Python and with output.
  
  ## Examples using Contour in Python
  
  1. To plot function f(x,y) = 10-x2-ywhen value of z = [1,6,9]
  
  Python Code:
  ```import numpy as np
  import matplotlib.pyplot as plt
  x = np.linspace(-10, 10, 21)
  y = np.linspace(-10, 10, 21)
  x,y=np.meshgrid(x,y)
  z=10-x**2-y**2levels=np.array([1,6,9])
  cs=plt.contour(x,y,z,levels)
  plt.clabel(cs,inline=1,fontsize=9)
  plt.grid(True)
  plt.axis('scaled')
  plt.xlabel('x-axis')
  plt.ylabel('y-axis')
  plt.title('Level curves of the function f(x,y) =10-x**2-y**2')
  plt.show()```
  `Output:`
   To plot function f(x,y) = 10-x2-y2 when value of z = [1,6,9]
  
  2. To plot function f(x,y) = x2 + y2  when value of z =  [1,6,9]
  
  Python Code:
  ```import matplotlib.pyplot as plt
  import numpy as np
  x = np.linspace(-10, 10, 21)
  y = np.linspace(-10, 10, 21)
  x, y = np.meshgrid(x, y)
  z = x ** 2 + y ** 2levels = np.array([1, 6, 9])
  cs = plt.contour(x, y, z, levels)
  plt.clabel(cs, inline=1, fontsize=9)
  plt.grid(True)
  plt.axis('scaled')
  plt.xlabel('x-axis')
  plt.ylabel('y-axis')
  plt.title('Level curves of the function f(x,y) =x**2+y**2.')
  plt.show()```
  `Output:`
   `Level curves of the function f(x,y) =x**2+y**2`
  ```
  ```
  ```
  ```
  ```
  ```
  ```
  ```
  ```
  ```
  ```
  ```
  ```
  ```
  ```
  ```
  ```
  ```
  ```
  ```
  ```
  ```
  ```
  ```
  ```
  ```
  `3. To plot function f(x,y) = x3-y when value of z = [1,6]`
  
  Python Code:
  ```import matplotlib.pyplot as plt
  import numpy as np
  x = np.linspace(-10, 10, 21)
  y = np.linspace(-10, 10, 21)
  x, y = np.meshgrid(x, y)
  z = x ** 3 - y
  levels = np.array([1, 6])
  cs = plt.contour(x, y, z, levels)
  plt.clabel(cs, inline=1, fontsize=9)
  plt.grid(True)
  plt.axis('scaled')
  plt.xlabel('x-axis')
  plt.ylabel('y-axis')
  plt.title('Level curves of the function f(x,y) =x**3-y')
  plt.show()```
  Output:
  
   `To plot function f(x,y) = x3-y when value of z = [1,6]`
  
  4. To plot function f(x,y) = (x+ y2 ) /4 when value of z = [1,5,8]
  
  Python Code:
  ```import matplotlib.pyplot as plt
  import numpy as np
  x = np.linspace(-10, 10, 21)
  y = np.linspace(-10, 10, 21)
  x,y=np.meshgrid(x,y)
  z=x**2+y**2/4levels=np.array([1,5,8])
  cs=plt.contour(x,y,z,levels)
  plt.clabel(cs,inline=1,fontsize=9)
  plt.grid(True)
  plt.axis('scaled')
  plt.xlabel('x-axis')
  plt.ylabel('y-axis')
  plt.title('Level curves of the function f(x,y) =x**2+y**2/4')
  plt.show()```
  `Output:`
   To plot function f(x,y) = (x2 + y2 ) /4 when value of z = [1,5,8]
  ```
  ```
  ```
  ```
  ```
  ```
  ```
  ```
  ```
  ```
  ```
  ```
  ```
  ```
  ```
  ```
  ```
  ```
  ```
  ```
  ```
  ```
  ```
  ```
  ```
  ```
  `5. To plot function f(x,y) = 4x2+y2  when value of z = [0,1,3,5]`
  
  Python Code:
  ```import matplotlib.pyplot as plt
  import numpy as np
  x = np.linspace(-10, 10, 21)
  y = np.linspace(-10, 10, 21)
  x,y=np.meshgrid(x,y)
  z=4*(x**2)+y**2levels=np.array([0,1,3,5])
  cs=plt.contour(x,y,z,levels)
  plt.clabel(cs,inline=20,fontsize=6)
  plt.grid(True)
  plt.axis('scaled')
  plt.xlabel('x-axis')
  plt.ylabel('y-axis')
  plt.title('Level curves of the function f(x,y) =4*(x**2)+y**2')
  plt.show()```
  `Output:`
  ```
  ```
   `To plot function f(x,y) = 4x2+y2  when value of z = [0,1,3,5]`
  
  6. To plot function f(x,y) = 2-x-y when value of z = [-6,-4,-2,0,2,4,6]
  
  Python Code:
  ```import matplotlib.pyplot as plt
  import numpy as np
  x = np.linspace(-10, 10, 21)
  y = np.linspace(-10, 10, 21)
  x,y=np.meshgrid(x,y)
  z=2-x-y
  levels=np.array([-6,-4,-2,0,2,4,6])
  cs=plt.contour(x,y,z,levels)
  plt.clabel(cs,inline=1,fontsize=9)
  plt.grid(True)
  plt.axis('scaled')
  plt.xlabel('x-axis')
  plt.ylabel('y-axis')
  plt.title('Level curves of the function f(x,y) =2-x-y')
  plt.show()```
  `Output:`
   To plot function f(x,y) = 2-x-y when value of z = [-6,-4,-2,0,2,4,6]
  ```Summary: In this section, we discuss the code for the. In this code first, we need to import numpy and we used numpy as np then we need to import matplotlib which is necessary to plot a graph. so we defined matplotlib as plt. In this matplotlib.pyplot is a collection of functions that make matplotlib work like MATLAB. For every pyplot function makes some change to a figure: e.g., creates a figure, creates a plotting area in a figure, plots some lines in a plotting area, decorates the plot with x and y labels and also clabel to label the curve of the fucntion, the title of the graph, grid to show grid in the graph etc.
  
  ```
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The document provides a detailed tutorial on how to create contour plots in Python using the `contour()` function from the `matplotlib` library. It includes several examples with Python code and corresponding outputs. Each example demonstrates how to plot a specific function and includes the necessary code and the resulting plot.
  
  The document does not contain any math questions or answers to math questions. It is purely instructional and focused on demonstrating how to use the `contour()` function.
  
  Label: no-question