VOLUMESR (LGM) v1.00 (well, it's not the first version actually, but my calculator forze up one time and the actual first version of the program was deleted, so I had to write a new one! What a pain!) TI-89 "Volumes of Revolution: Disk and Shell Methods" by Dmitriy Myedvyedyev (aka Dima Medvedev, aka Dimalitious D-Myster) medvedbr@hotmail.com Category: BASIC/MATH/CALCULUS Starting - Completion Date: unknown (this took quite a while) ***THIS PROGRAM IS AVAILABLE WITH MANY OTHER USEFUL CALCULUS PROGRAMS IN A CALCPACK PACKAGE CALLED "CALC1LGM" (available by the beginning of April of 2002) Copyright 2002 Dmitriy Myedvyedyev -------------Description: This is an extremely powerful program that calcultes volumes of revolution. A function is rotated around an axis and creates a volume which can often be found by using disk or shell method. -------------Instructions: Transfer the VOLUMESR.89P file to any directory on your calculator. When you run the program, you are asked to enter two functions, f and g. You can enter them with respect to x OR y. Normally you would enter the outside function as f(x) or f(y) and the bottom (inside) function as g, but there's an option of correcting this automatically. If you already know which function is outside, choose MANUAL and enter the outside function as f and the inside as g. Enter the interval on which the function is rotated (from a to b). If you are not given the interval in the problem, you probably have to calculate it yourself. If the problem states that you are revolving a region bounded by TWO function (f and g) then you may choose the AUTOMATIC option and let the program calculate the endpoints (the interval). Choose which axis you are rotating the region around. Choose in terms of which variable you defined functions f and g (they MUST be defined in terms of ONE variable). The output tells you which method was used (disk or shell) and what kind of differential there was (for example, Disk Y means that the disk method was used and the differential was dy). It also gives you both the approximate and exact values (the volume) calculated by using that method. -------------Update(s): None. This is the first version of the program (well, I actually had this program written a while ago, but my calculator froze and it was deleted, so I had to recall how I wrote the original program). -------------Known Bugs and Important Notes: Be careful with the AUTOMATIC options. You should probably use them when you are dealing with easy functions or when you are completely lost and don't know how to solve the problem yourself. If you choose automatic interval computation, any values for the interval already entered will be ignored. -------------Thanks! Thank you for downloading this program by Dmitriy Myedvyedyev. Please send your comments and/or suggestions to medvedbr@hotmail.com -------------People to Remember: Albert Einstein, Isaac Newton, Blaise Pascal, Euclid, Dmitriy Mendeleyev, Thomas Edison, Archimedes, Stephen Hawking, Alexander Friedmann, SB, SH, BM, AM, JC, FB, CC, DW, JS, TW, MM, CC, JH, TL, JC, SK, AL . . . to be continued . . . The universe . . . What a great puzzle! Number one on the unsolved mysteries list. -------------Dimalitious D-Myster------------- Keep our world green! Protect trees to get us some mo' oxygen. Please recycle. -------------Dimalitious D-Myster's Little Green Men Corporation