surface area of a cylinder [∂ Campbell's soup can]
13
-
Upload
lao-tzu -
Category
Technology
-
view
2.858 -
download
2
description
Product rule works with ∂ as "boundary operator"
Transcript of surface area of a cylinder [∂ Campbell's soup can]
![Page 1: surface area of a cylinder [∂ Campbell's soup can]](https://reader035.fdocuments.net/reader035/viewer/2022073117/5597b22b1a28abbb2b8b4719/html5/thumbnails/1.jpg)
![Page 2: surface area of a cylinder [∂ Campbell's soup can]](https://reader035.fdocuments.net/reader035/viewer/2022073117/5597b22b1a28abbb2b8b4719/html5/thumbnails/2.jpg)
Product Rule of Calculus
Or written using the
“special D” for derivative
rather than “prime”:
![Page 3: surface area of a cylinder [∂ Campbell's soup can]](https://reader035.fdocuments.net/reader035/viewer/2022073117/5597b22b1a28abbb2b8b4719/html5/thumbnails/3.jpg)
Product Rule of Calculus
For example:
![Page 4: surface area of a cylinder [∂ Campbell's soup can]](https://reader035.fdocuments.net/reader035/viewer/2022073117/5597b22b1a28abbb2b8b4719/html5/thumbnails/4.jpg)
Surface Area
of a cylinder
I can never remember the formula
![Page 5: surface area of a cylinder [∂ Campbell's soup can]](https://reader035.fdocuments.net/reader035/viewer/2022073117/5597b22b1a28abbb2b8b4719/html5/thumbnails/5.jpg)
The “special d”
also means “boundary”
![Page 6: surface area of a cylinder [∂ Campbell's soup can]](https://reader035.fdocuments.net/reader035/viewer/2022073117/5597b22b1a28abbb2b8b4719/html5/thumbnails/6.jpg)
The “special d”
also means “boundary”
![Page 7: surface area of a cylinder [∂ Campbell's soup can]](https://reader035.fdocuments.net/reader035/viewer/2022073117/5597b22b1a28abbb2b8b4719/html5/thumbnails/7.jpg)
The “special d”
also means “boundary”
![Page 8: surface area of a cylinder [∂ Campbell's soup can]](https://reader035.fdocuments.net/reader035/viewer/2022073117/5597b22b1a28abbb2b8b4719/html5/thumbnails/8.jpg)
The product rule of
as “derivative”
works also with
as “boundary”
![Page 9: surface area of a cylinder [∂ Campbell's soup can]](https://reader035.fdocuments.net/reader035/viewer/2022073117/5597b22b1a28abbb2b8b4719/html5/thumbnails/9.jpg)
![Page 10: surface area of a cylinder [∂ Campbell's soup can]](https://reader035.fdocuments.net/reader035/viewer/2022073117/5597b22b1a28abbb2b8b4719/html5/thumbnails/10.jpg)
Volume of a cylinder
![Page 11: surface area of a cylinder [∂ Campbell's soup can]](https://reader035.fdocuments.net/reader035/viewer/2022073117/5597b22b1a28abbb2b8b4719/html5/thumbnails/11.jpg)
Surface area
of a cylinder
Surface area Volume
![Page 12: surface area of a cylinder [∂ Campbell's soup can]](https://reader035.fdocuments.net/reader035/viewer/2022073117/5597b22b1a28abbb2b8b4719/html5/thumbnails/12.jpg)
Surface area
of a cylinder
(top & bottom) “paper towel roll” sides
![Page 13: surface area of a cylinder [∂ Campbell's soup can]](https://reader035.fdocuments.net/reader035/viewer/2022073117/5597b22b1a28abbb2b8b4719/html5/thumbnails/13.jpg)