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Project Guidelines Calculus 1371 1. The project consists of writing the solutions to two problems. They should be treated separately in the sense that they are written as separate projects but staples together so start problem 2 on a new sheet. The second page should have a table of contents. 2. Your finished projects should have a cover sheet which lists all the names of the group members and your section number. 3. Both problems should have an introduction which states the problem. (use the actual assignment) 4. Solve and completely discuss your solutions. Be sure to carefully read the instructions and supply all the requested information. 5. Accompany the solutions with a professional and appropriate diagram which is correctly labeled with names variables (tell me what the variables represent in words also). 6. Present each solution in a neat and orderly fashion working from top to bottom (meaning not scattered all over the page). 7. The whole project must be typed even the mathematical equations and expressions (Microsoft Word contains an equation editor). 8. After each of the projects has been set up to be solved by Newton’s method I want you to a. State f(x) b. State f’(x) c. Find an interval for the solution of f(x)=0 d. State Newton’s method (what are you about to do and why) e. Make an educated guess about x1. f. Show the computation for x2 by showing the substitution of x1 into Newton’s formula g. Use a calculator to compute successive xn’s until a solution is reached ( I want you to include all these: x1 to xn the solution) 9. Introduce each solution by paraphrasing the problem and demonstrate an appropriate test of the solution. 10. Include an argument as to why your cost is indeed a minimum. This might use the first derivative test or another argument. Also remember to include all other requirements in your solution such as the non-real complex solutions to the polynomial equation as well as a discussion of extraneous roots when it applies. 11. Make a few statements discussing the solution (this will be a conclusion). DEADLINES 1. Tuesday Nov 25 2. Tuesday Dec 9 first draft due final draft due