Balloon Final Project

Create a cover page that includes:

• Title
• Name
• Partner(s)
• Date
• A visually appealing design

Attachments

1. All balloon design materials, including the graph of the balloon, spreadsheet, etc.
2. A printout of the 2-D graph of your balloon's equation using Desmos or other software.
3. A printout of the 3-D graph of the balloon showing various views.
4. A printout of the computer-generated numerical solution for both the volume and surface area of your balloon using GeoGebra or other software. Include a calculation showing the ratio of surface area to volume. For full marks do it using at least two different programs.
5. Any other supporting materials, including this handout. Place this handout immediately after the cover page.

 Online resources:

 http://polynomialregression.drque.net/online.php  regression equation and its graph. Like using the TI83 but better. You can cut and copy this equation into other websites or programs. You will need to fix the exponents of variable using the notation x^3 etc.

 

http://www.shodor.org/interactivate/activities/FunctionRevolution/

1. Set the window size to view your balloon.

2. Copy the regression equation into the function box. (leave g(x) blank)

3. Set options to taste and do a screen capture at a few angles.

 

https://www.emathhelp.net/calculators/calculus-2/area-of-surface-of-revolution-calculator/ Surface Area

 

https://www.geogebra.org   a) Notation: Integral (f(x),a,b).

b) For 3-D graph use 3-D Calculator (see figure below)

(Set global rounding higher: Settings>Settings>rounding)

Notation: Surface(f,n,xAxis)

 

 https://www.desmos.com/      Volume and Surface Area with 2-D graph.

More Desmos: https://www.desmos.com/3d/vtvomle6s1 and

https://www.desmos.com/3d/kud9njtzkx