OUTLINE
1. FEATURE PROBLEM
2. CUTTING AND GETTING PROFILE
3. CUTTING AND GETTING PROFILE
4. PLACING PROFILE ON A GRID TO RECORD COORDINATE POINTS ALONG THE PROFILE
5. PLACING PROFILE ON A GRID TO RECORD COORDINATE POINTS ALONG THE PROFILE
6. PLACING PROFILE ON A GRID TO RECORD COORDINATE POINTS ALONG THE PROFILE
7. PLACING PROFILE ON A GRID TO RECORD COORDINATE POINTS ALONG THE PROFILE
8. PLACING PROFILE ON A GRID TO RECORD COORDINATE POINTS ALONG THE PROFILE
9. PLACING PROFILE ON A GRID TO RECORD COORDINATE POINTS ALONG THE PROFILE
10. PLACING PROFILE ON A GRID TO RECORD COORDINATE POINTS ALONG THE PROFILE
11. PLACING PROFILE ON A GRID TO RECORD COORDINATE POINTS ALONG THE PROFILE
12. PLACING PROFILE ON A GRID TO RECORD COORDINATE POINTS ALONG THE PROFILE
13. ATTEMPTING SOLUTION USING CALCULUS AND GRAPHING CALCULATOR
14. FINDING BEST FIT EQUATION USING EXCEL
15. FINDING BEST FIT EQUATION USING EXCEL
16. NEW LONGITUDINAL CUT
17. MODELING CALCULUS APPROACH SLICING BOTTLE ALONG LONGITUDINAL LENGTH
18. SURFACE AREA: ORIGINAL SKETCHES FOR BOTTLE HALVES
19. ACTUAL BOTTLE AND SURFACE AREA
20. ACTUAL BOTTLE AND SURFACE AREA
21. ACTUAL BOTTLE AND SURFACE AREA
22. ACTUAL BOTTLE AND SURFACE AREA
23. GRID PAPER TO FIND SURFACE AREA: VIDEO
24. PROFILE IN COORDINATE PLANE AND EXCEL TO FIND BEST FIT EQUATION
25. PROFILE IN COORDINATE PLANE AND EXCEL TO FIND BEST FIT EQUATION
26. PLANE GEOMETRY APPROACH: SUMATIONS
27. CALCULUS APPROACH: INTEGRATION
28. PARTIAL SOLUTION
29. PARTIAL SOLUTION
30. CONCLUSION
31. CALCULUS APPROACH WITH GRAPHING CALCULATOR
32. CALCULUS APPROACH WITH GRAPHING CALCULATOR
33. BEST FIT EQUATIONS VS NUMBER OF SECTIONS
34. BEST FIT EQUATIONS VS NUMBER OF SECTIONS