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Essentially, we need to repeat our previous calculation of σ_x at O for a range of r_ivalues. One way to do this is to loop over the previous calculation. Let's check the documentation to see what MATLAB provides for loops.

Home (tab) > Help > DocumentationDocumentation (icon) > Search: for loop > for

There are two types of loops: for and while. Enter for loop in the search bar and then select for which is the first entry up top. Look at the first example. This shows the format of the for loop. You can often speed up the execution of MATLAB code by replacing for and while loops with vectorized code. That is what we'll do in Step 4. Let's stick it out with slowpoke for loop for now.

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Let's pick MATLAB's brain on how to make a plot.

Home (tab) > Help > Documentation (icon) > Search: Plotting Functions

Note that you can access this exact page without using the search field. Doing this will give you a sense of how to navigate the documentation. 

Home (tab) > Help > Documentation (icon) > MATLAB > Graphics > 2-D and 3-D Plots > Plotting Basics > Plotting Functions

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