Scientific notebook - plotting 3d surface

[t_n_p]

Hi, I wish to plot a 3d surface but as of now have not been able to!

I wish to plot z=f(x,y)=[x²+y²-1]^1/2 restricted to the domain:

dom(f) = {(x,y)|=1 ≤ x² + y² ≤5}

Any step by step instructions would be greatly appreciated!
Thanks in advance!

 

[t_n_p]

bump! anyone!

 

[oswaler]

Hi there,

Thank you for reaching out and sharing your interest in plotting a 3d surface. I understand the importance of accurately representing data and visualizing complex relationships.

To plot the function z=f(x,y)=[x²+y²-1]^1/2 in the specified domain, you will need to follow these steps:

1. First, make sure you have a software or program that can plot 3d surfaces. Some popular options include MATLAB, Python's Matplotlib, and Wolfram Mathematica.

2. Next, define your function in the program using the notation z=f(x,y)=[x²+y²-1]^1/2. This will create a mathematical expression that the program can understand and plot.

3. Then, specify the domain of your function using the notation dom(f) = {(x,y)|=1 ≤ x² + y² ≤5}. This will restrict the plot to only show values within this domain.

4. Once your function and domain are defined, you can use the program's plotting function to generate the 3d surface. Make sure to label the axes and add a title to your plot for clarity.

I hope these instructions are helpful in achieving your goal of plotting a 3d surface. As always, feel free to reach out with any further questions or concerns. Happy plotting!