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Unformatted text preview: QuickTime™ and a decompres or are ne ded to se this picture. Q u ic k T im e ™ a n d a d e c o m p re s s o r a re n e e d e d to s e e th is p ic tu re . Extreme value problems 1. Find out what to optimize (i.e. minimizing total area) 2. Draw a picture 3. Write an equation for what you want to optimize 4. If two variables – eliminate variable by writing an equation using other information. 5. Substitute 6. Simplify formula 7. Take derivative 8. Find critical points (set Derivative equal to zero) 9. Check a. First derivative test b. Plug in endpoints and cps to see which is biggest or smallest 10. Make a declaritve statement – REMEMBER: include units Approximating Values of Functions Know: ∆Y is approximately (dy/dx)(∆x) Error analysis – finding error and giving interval Error equation = next step in linearization: (F''(s)/2)(x-a) 2 1. do linearization....
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- Spring '06
- Derivative, Mathematical analysis, Convex function, extreme value problems, interval Error equation