- Has anyone tried to graph the classic surface of Revolution problems from Calculus using

GC? It seems like one should be able to see the region in the x-y plane, and animate the

revolution to see the solid of revolution.

I can see the region by graphing:

x=(0 if y<((f(x) if y > g(x)) if a<x<b)

But I can't seem to get the revolution working. Any help would be appreciated.

Russ - On Oct 3, 2005, at 12:45 PM, Russ and Lisa wrote:

> Has anyone tried to graph the classic surface of Revolution problems

I'm not sure exactly what the equation your graphing here is. I got a

> from Calculus using GC? It seems like one should be able to see the

> region in the x-y plane, and animate the revolution to see the solid

> of revolution.

>

> I can see the region by graphing:

>

> x=(0 if y<((f(x) if y > g(x)) if a<x<b)

>

> But I can't seem to get the revolution working. Any help would be

> appreciated.

>

> Russ

general formula for parameterized curves out of the book "Modern

Differential Geometry of Curves and Surfaces with Mathematica", 2nd ed.

Boca Raton, FL: CRC Press, by Alfred Gray, on page 457. It's in the

following attached file, which I also uploaded to the Files section (

http://groups.yahoo.com/group/GraphingCalcUsers/files/ ) at Files >

Calculus, Analysis > Surfaces of revolution. - On Oct 3, 2005, at 12:45 PM, Russ and Lisa wrote:

> Has anyone tried to graph the classic surface of Revolution problems

Here's an example with a rotating meridian:

> from Calculus using

> GC? It seems like one should be able to see the region in the x-y

> plane, and animate the

> revolution to see the solid of revolution.

>

> I can see the region by graphing:

>

> x=(0 if y<((f(x) if y > g(x)) if a<x<b)

>

> But I can't seem to get the revolution working. Any help would be

> appreciated.

>

> Russ

- On Oct 3, 2005, at 12:45 PM, Russ and Lisa wrote:

> Has anyone tried to graph the classic surface of Revolution problems

Maybe the following is more what you wanted. It shows a revolving

> from Calculus using

> GC? It seems like one should be able to see the region in the x-y

> plane, and animate the

> revolution to see the solid of revolution.

>

> I can see the region by graphing:

>

> x=(0 if y<((f(x) if y > g(x)) if a<x<b)

>

> But I can't seem to get the revolution working. Any help would be

> appreciated.

>

> Russ

"slice" going around inside the surface of revolution.