Mesquite Trees, Anon.

Thorn Avenue

Lubbock, TX 79414

Dear Calculus Student,

You don't know me - my name is Frankly O. Dreary, but you do know my secretary, Betty. She related to me how helpful and resourceful you were on a recent project she placed across your desk.

Safety Subcity, Inc. has recently begun the construction of a series of carefully designed, eminently safe new office buildings in a development immediately outside of the southern boundary of our 13,000 acre parking lot. At the last minute, however, the subcontractor we had working on the design of the gutters for the roofs of building has pulled out, so we are contacting your firm to determine the optimum gutter design for the development.

An optimum gutter will, of course, carry a maximum amount of water, and our design constraints require that it be manufactured from a 15 inch wide piece of material (which we can order in the lengths required to line different roof sections). The machine which forms the gutter from the flat 15 inch wide sheet metal makes 2 creases when shaping the gutter. You may assume that the first crease is a right angle so that the bottom of the gutter comes out perpendicularly from the roof. One edge of the gutter should allow for 1 inch flap for attaching the the gutter to the roof. That then leaves 14 inches of the gutter for carrying the rain off from buildings.

For your reference, we have included a copy of our requirements for technical documents. We look forward to seeing your finished report.

Yours sincerely,

Frankly O. Dreary

President, Safety Subcity, Inc.

Encl: Technical report requirements

The technical requirements...

Safety Subcity, Inc.

All reports submitted to Safety Subcity, Inc. should be written so that the forewomen and foremen of the construction unit implementing the report can understand and apply the information contained therein. Owing to Safety Subcity's preeminent position in the construction field all of our forepeople have degrees in engineering, and thus have had college level mathematics, including calculus---unfortunately, however, their long experience in the field precludes a ready knowledge of the same. Therefore, the reports should assume a strong precalculus and basic calculus (about half a semester of calculus I) background, but should not expect a knowledge of much more than that.

Reports should further:

- Be written in the first person plural (e.g., "We found the requisite data from the figure...").
- Include mathematical formulas and appropriate graphs in the body of the report as appropriate to describe the methods and results obtained. (While the report must be typewritten, it is fine to neatly hand-write formulas if that significantly simplifies its generation.)
- Clearly explain how the mathematical formulas that are included bear on the problem being solved.
- Consist of:
- An Introduction, describing the problem to be solved, and an indication of the mathematical method used to solve it.
- A Body, describing the mathematical problem that was solved to answer the question(s) posed in the introduction, and the solution to it.
- A Conclusion, summarizing the results obtained from the solution described in the body and clearly stating their relevance to the original problem as described in the introduction.
- Be 2.5--5 pages in length.