>Tad > To follow up on what Susan said, if f(t) is a function giving the >temperature at any time t, then the average temperature over a period >from a to b would be the integral of f(t) from a to b divided by the >difference b-a. It would be an interesting problem to take a set of >temperature readings e.g. every hour or every half-hour, use a numerical >method like the trapezoid rule or Simpson's rule and see how close that >value is to the offical method of taking the average of the high and the >low. Sounds like a good question or project for a calculus class. > >Dr. David Thomas Centenary College of Louisiana >Department of Mathematics P. O. Box 41188 >firstname.lastname@example.org Shreveport, LA 71134-1188 >voice 318 - 869 - 5035 fax 318 - 869 - 5026 >
Wait a minute. This seems misleading. How can anyone find f(t) except by taking frequent temperature readings and then approximating?
==================================== Judy Roitman, Mathematics Department Univ. of Kansas, Lawrence, KS 66049 email@example.com =====================================