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#uw/notes #uw/class/math224
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#uw/notes #uw/class/math224
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- - -
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- - -
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Instead of being bound by a rectangular region regions in polar coordinates are often bound with
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$$\begin{gather}
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a\leq r\leq b \\ \alpha \leq \theta \leq \beta
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\end{gather}$$
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if a function is defined as $f(x,)$
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---
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excalidraw-plugin: parsed
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tags: [excalidraw]
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---
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==⚠ Switch to EXCALIDRAW VIEW in the MORE OPTIONS menu of this document. ⚠== You can decompress Drawing data with the command palette: 'Decompress current Excalidraw file'. For more info check in plugin settings under 'Saving'
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# Excalidraw Data
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## Text Elements
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## Embedded Files
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eb5f6a288d26a7a56e5db30c91f20873a1fdd6d6: $$\color{blue} \theta = \alpha$$
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f29a5039d81fd6c72a5f96fce01c57e3dc17dd50: $$\color{orange} \theta = \beta$$
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%%
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## Drawing
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```compressed-json
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o2NjrRFJnEsy0Pu06B6rNrGssGkHyFNM5jWWM4IpcNrRmYNve3zGiVNNl0miYoH2M/QaSM50gY+wIwndVJ1IEn5xlHPKLeZXicuCjj1LdQSDipXbggkQqfZ1wjj04qEGjis4pYlBxiOKo3HCqaJJioJ4zcuIBMZLB1xFiOUSsy+CuwtVn9wFWIZHiCuDEUImwLOJoN2BuIjFw7jMpXkOXd5fK2yWI2XMsHShhTGlx+hHRJhRiMOw02xMIliVZ2+8
|
||||||
|
|
||||||
|
kYh8GqIl4rglRRRg89wpCC3XQIFxWXIfT7BpmPOi2D+1a8PPsF3OCM60kYoHSUtA3WphTosRQKjswvzL1wQ5NXTm0v9Cg8OMDEV8R40KDCgrW3t9I6KuG0My0b+NjMQErBDVtkExmK4wC3W4E+cqEfAM2sr4yWztwcoI8Aih7bDKUpijLaQUycCbXBLih2MGsltNIWUEgklW3QsBz14/JJiGVOMA/HasycPuJEITsLBF+8ukaI3+hpmLYEStkLTh
|
||||||
|
|
||||||
|
WdsUSOnmYMno4nytIRE5/EbgSHFTAAJGdDKWXDQsK7AiM0w2MUUS80d9EsMOsUkjjIhfECK+DhEtVhvJivFM04wkzNBIyw/ef6EPxKQx5h2iMsKxJygbEoUwUtjE+H2xxk2DWx8xpmAgnf9+rcGxBNQzBxO5jgRMUMdtnDYJOUwRjWZ1/IjwYxK71NbJTxVcSQhJIgxJA38hSTIkoHCWFfIqC3r8DLNVhCSkk/JIiT7fYsgujiffrXGiEkpmjt91
|
||||||
|
|
||||||
|
TWFzPBepAQh+MtUXTGAjmk4zxss/HFAldjJOCTyiMejIIjcSPsJvCRjUfL2wrgjCKRmKN4iZY2V8pktHAr5048knmSeEiHnh8EI6pyySBYwLB/JmTYMzD8v0RZMlwZBPJiutrgCsR4lLw6ojZ8vXUInEQQmESKwQX/ApnRwHwQ8BBNywpyP2lz5aRyvtC+VFAIjWmX5O7jbgTmzgtTpY0zFJDrGsJOCemaFP+S5mQ8Blw0KKQzQC+EJsweTn9DFL
|
||||||
|
|
||||||
|
hSgUynGdJcfA4DWMcTCxybF+TYq3RcfjTvwJw1yPd1cJOE4+wPxaUyJ2hs0rTpF6YHpLfAbt+rDQQTkuUs+l3CSrClIFSOnBUJ+hgopQLFSiXXlNMsngAVPHhcHYmNjCFDRVJ5SDjFVPqsJcDbxoT9UPuCL9aUzy3WMYbLrU5jYZI1LG5+cfZJTiyJWIj/NhLcGyrcbU0MjUpWCVgybMcyc1NdTBfYdicsLcAakfIGLIHUENvk9cRdTynINOtSYI
|
||||||
|
|
||||||
|
r1KUDobHeOMCBsANLjSrUj1MTTxcKomyJS0CxzzsMEDNMtT3U8F2Rl6kHS1fJywEy3fdXxZPjigdTHgL1ClcVkl7Ay9HKG7sBwWlIopvzIo1vMW0/GRSZHbAp17DZ4ntNBw+0uaM6MDU+OPLD3jR8POAJ0xtP7TF7WdLSJVQ3ym/MVsWlLfDy4w63adpzMsnrgA7QvnuYl7Y5IExnSG8xBNtjSCLZl4gP6CmRPLElwnDdxIWgZtVMei3JJiEgnGf
|
||||||
|
|
||||||
|
lgzNFEPA2TUnFpTsMcknuibPQoQfS/jX10ys2XdZLJS4ZcDOkxIGKDOPSE3GFwZ0/odKFAzP0iDNQzf0gcmUwukavyH0zDXDOQzv09pEIzKcG4ioQzgrVG0jRIxPA/TKMyDJoyeZHYRv9YnN4gGMKM7nhQyf02U0G5lYTW0hZifJ1JYykMgTKoy0Mh8SRsVHHE0bdkIpcVYyZM9jOEzAotk2iNu7N+KZx8eebEbcS4HzAtxE6bShG0YQQQhdw1yO
|
||||||
|
|
||||||
|
AkL50A3J0N8jeaKCRTbInw0vTmUt/y1QjMhzNMyDyNmH+grrS4xBBrMzzLszCbSDF8yYLItKKCu9ZjKzwbMwzPsyIsgTG+IJLEEFfIfjHYBCyMERLPCyTMzcjjJZ4zwk2tPrSTPizQsxGDyzHMlOnsx1LVIJP9o0hoQSyvMpLPyyCcYEhMtiOQsPEQcM18Wayws4zOqyiI5hy09ZQnLAQzxcAWRGMhkDENJNM7JPGhAdTIMNOwYY9zJ+kJJabPMx
|
||||||
|
|
||||||
|
bElAIEwbuP92FMrQzoxCyDCfhFVhgjHhPj41SEk3O9WAnsS1VTsmQSrwLs2AkeMwM4mwRhwTY7NcJjPR7LqcLcFwiXskLcZ0Zi4st6Xuyfs/Zz+zdsiGiks3zIOxpc1synAXxvsry0hzk3aHIvd0THEPadQQL7J7DUc87OfITE9VKrwc9MvTxyHstHIuy/CdfxnDbTELApyIcwnIExyCciwFxKXIMLfT9M5HPxyzsp7KJysE/20/wPI3c0ZyCc/n
|
||||||
|
|
||||||
|
JZzzWMQgnir3D0zFy+cqHO/JOCLpj+TJAwKxCyTDPsBr9uk+HyJznDDvW7iew7YA1yX9JyxWtGWCeCJzJnJmyONZHQ9z6y6cI621ydDXXNrk5STb13MzgM4L0yrxatlNznci3J4Tu8A6NXMtXaGxOcHczXLNydcy3LdyPTYnxMI8TIZBCzHrTjXTMwbIRw9xpWPPQaUcMI6y5zfc+0VMNCbHYGuBM8t3OBNSw+/1wVUUprKLy089FzLzLkt3Muw9
|
||||||
|
|
||||||
|
7WE24xBXJcTqRU8mGMbyrbAwKsUG4K93BMunSFMLye8kvIzzm88uXWFyfF83uSq/FPJmze80vP7ys8tIlBxfvTjG29IoJfOLz08pvIMC7CSBiLAEgnKD58Hc1S0KFyzGOKDzj88vWbwz8hGFByCcQTBTNOYNQKUs7Ke/Ns8n8i/KXFT6TjRM89LL31Hwf80/Lbtn8scSM8is0z1ALb8cAsfzIC//KNR7dTwTjUG+M/SjVUPBAHQ86+TD1QBsPZNR
|
||||||
|
|
||||||
|
H4CPF6An56AYj1I85+PNTTVKPaUCuQS1OjwY9K1X2HAB8IeEDgA4AUUGvBCPaAD+AsgSoG3BBPPkAYBCABAAoBiIbAR3V1tZZH5A5C+QpEK9NHiGXAXQccH0BRQVzxkKCQdzwSBPPTdSKA81EQEPhVCzIEkLVtCfRkKp9LbSo9IAJQuMK1CwYDn0gvC7Wp0jClQrULRQcwCqAYADgDYBxwDQsqgtC2qDXgDCuwvcLMgAIomglQApAQAQoCACyBHA
|
||||||
|
|
||||||
|
IQGT0pgQwuUKcgEwvUL54TOEoKc1OIoo9rAGwtSL7CiIoi8N9FwtsK3C9IrULhgbfV3QUisIqqLMgYfneREvWCCKLwi/QEGBOAKAEGBgEIUBCggodosaLOi7ovqBCAIwHTA60eosqKoADItJ0uIIgGUBwkVyAQB+QQooaLZijwotgvER1FG8KitIs2LMgXoEdgHUN1CgQAkRQpmKMirxDyQ84CQC3hLig4oyLBgU6BqKdQcjGGhLwHEHwA9ILsBZ
|
||||||
|
|
||||||
|
IftY5yaDBCM4BSLmAL4uFBHIOGHYZj7GWy84/zFIqMA2AAwEI9IACgt8B8UZUPCsq1IYsOL9AGopag34OMEegRCukBIAxiiYpVA2i0kuIBRQBAHS1UoFIupLOPNgFvRjikj2CBsDAwupLV1AOGIgcQVj2UAqQAAAoREagAQ1cEcUrFLmxAAEpYwYYAQBlAVviWRSAQUtwAhS7CzFKNS3gGp96PNjFlLsSzXVIActOADb4vC9NWcQCNKAEiL0wS/Q
|
||||||
|
|
||||||
|
yB6UMwvH1GQc1E0AhAH8B6KT4b9VH4aQGAHbB/C+eE9KvCn0r8KEAB0pwEfdMAHhR8dbouNLTSmkHa9pig4utL8PNNScRU9S9HlKIwLNUcQyCh2HZLfwIgrpgiAeksILE1Zrw4BL0BNSTV99IQCgA6PAspTB9AbkAmBDICsqw9Syt4EbLBPJgDZLikfMtLLsSuwEj1sAXIHqByyuAGZLWS8st7LOSsoGpBR+RgBy0cQFEsQQloDIGHKQYLlHl0DA
|
||||||
|
|
||||||
|
W4vKRL9NwUp0EMI9XRB1CtctTUvUKnXkRQgLiHXKFypEvwBwyyMscBmAPMuxAcgejU49sgIQAm9KQK1Aoh0PPLR5AyEC1DzKTkcBGYBOPEgC8ErSscrgBGIHso5LKykAxa8GgU8trAJylyAX4ogcMBELwwOABrLRwMwCArcAGsrYBzdCMv4B8dHjSTBMwEAEzAgAA===
|
||||||
|
```
|
||||||
|
%%
|
||||||
Reference in new issue
Block a user