MATH201/content/drawings/Drawing-2023-11-24-13.15.17...

788 lines
25 KiB
Markdown

---
excalidraw-plugin: parsed
tags: [excalidraw]
---
==⚠ Switch to EXCALIDRAW VIEW in the MORE OPTIONS menu of this document. ⚠==
# Text Elements
%%
# Drawing
```compressed-json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=
```
%%