http://tech.groups.yahoo.com/group/GraphingCalcUsers/ User group for Pacific Tech's Graphing Calculator math education visualization software Mon, 16 Mar 2009 12:14:42 GMT Chris Young http://tech.groups.yahoo.com/group/GraphingCalcUsers/message/1632 http://tech.groups.yahoo.com/group/GraphingCalcUsers/message/1632 The attachments get stripped out by Yahoo, unfortunately. But if you set your user option to "Individual Email", you'll get all the attachments. Just click on Mon, 16 Mar 2009 12:09:56 GMT James Acevedo http://tech.groups.yahoo.com/group/GraphingCalcUsers/message/1631 http://tech.groups.yahoo.com/group/GraphingCalcUsers/message/1631 for some reason i can't see any images of equations on the topics page. Any advice? Wed, 04 Mar 2009 22:10:48 GMT Chris Young http://tech.groups.yahoo.com/group/GraphingCalcUsers/message/1630 http://tech.groups.yahoo.com/group/GraphingCalcUsers/message/1630 This is still graphing reasonably fast. I still need to put back the volume calculations. Also, integrals will have to be done on a case by case basis. Wed, 04 Mar 2009 14:31:33 GMT Chris Young http://tech.groups.yahoo.com/group/GraphingCalcUsers/message/1629 http://tech.groups.yahoo.com/group/GraphingCalcUsers/message/1629 Should make it so that it's easier to set any upper and lower limits desired.     Should make it so that it's easier to set any upper and lower Wed, 04 Mar 2009 14:13:54 GMT Chris Young http://tech.groups.yahoo.com/group/GraphingCalcUsers/message/1628 http://tech.groups.yahoo.com/group/GraphingCalcUsers/message/1628 Mystery solved. I hit the keyboard accidentally and wiped out the highlighted parameter list below. Currently, each list has to be updated to change the number Wed, 04 Mar 2009 14:10:43 GMT Chris Young http://tech.groups.yahoo.com/group/GraphingCalcUsers/message/1627 http://tech.groups.yahoo.com/group/GraphingCalcUsers/message/1627 Here are some view of a the solid resulting from rotating the space between the cosine and the sine of 2πz around the z axis. I've used a smaller plotting Wed, 04 Mar 2009 13:17:57 GMT Chris Young http://tech.groups.yahoo.com/group/GraphingCalcUsers/message/1626 http://tech.groups.yahoo.com/group/GraphingCalcUsers/message/1626 A few refinements, at the expense of very slightly complicating the equations, but simplifying the visuals: If we want to clip off two curves at their Wed, 04 Mar 2009 09:24:25 GMT Chris Young http://tech.groups.yahoo.com/group/GraphingCalcUsers/message/1625 http://tech.groups.yahoo.com/group/GraphingCalcUsers/message/1625 By just rearranging the equations a little, we get the relationship between the volumes of a cylinder, sphere, and double cone: i.e., 3:2:1. Interesting that Wed, 04 Mar 2009 06:54:24 GMT Chris Young http://tech.groups.yahoo.com/group/GraphingCalcUsers/message/1624 http://tech.groups.yahoo.com/group/GraphingCalcUsers/message/1624 The basic idea is to plot cylinders whose walls are at the distance given by the solid of revolution whose volume we're trying to find. Aligning the solid Tue, 03 Mar 2009 12:12:35 GMT Kevin Farrell http://tech.groups.yahoo.com/group/GraphingCalcUsers/message/1623 http://tech.groups.yahoo.com/group/GraphingCalcUsers/message/1623 Way too complicated You gave me some simple stuff a few years back ... Re: Volume via washers. Part 1 Way too complicated You gave me some simple stuff a few Tue, 03 Mar 2009 06:39:26 GMT Chris Young http://tech.groups.yahoo.com/group/GraphingCalcUsers/message/1622 http://tech.groups.yahoo.com/group/GraphingCalcUsers/message/1622  Below,  gives us spherical coordinates (the default in 3D if we have "r" on the left of an equation), while  gives us cylindrical coordinates. Mon, 02 Mar 2009 23:52:06 GMT Chris Young http://tech.groups.yahoo.com/group/GraphingCalcUsers/message/1621 http://tech.groups.yahoo.com/group/GraphingCalcUsers/message/1621 ... Here's a somewhat involved one from the Files section under Calculus      Another one on washers   Chris Young Mon, 02 Mar 2009 23:51:51 GMT Chris Young http://tech.groups.yahoo.com/group/GraphingCalcUsers/message/1620 http://tech.groups.yahoo.com/group/GraphingCalcUsers/message/1620 Sorry this is so complicated-looking as far as formulas and notation go. I'm trying to simplify it and explain the whole process better. Chris ... Here is an Mon, 02 Mar 2009 21:31:51 GMT griffithdouglass http://tech.groups.yahoo.com/group/GraphingCalcUsers/message/1619 http://tech.groups.yahoo.com/group/GraphingCalcUsers/message/1619 Can I get a graph to show volume by shells, washers, or cross section? Sat, 28 Feb 2009 22:05:22 GMT Chris Young http://tech.groups.yahoo.com/group/GraphingCalcUsers/message/1618 http://tech.groups.yahoo.com/group/GraphingCalcUsers/message/1618 We have a files section online at the Graphing Calc users group. I've tried to include comments helpful for beginners. The group is at