I was doing a problem and I got stuck at the step of drawing this:
$(r-2)^2+z^2=1$
Since it does not depend on $\theta$, I know it would be like a circle centered at $(2,0)$ with radius $1$ in $xz$ plane, but couldn't imagine how would it be in the space. Any help would be appreciated.
Is there any website that helps me to graph such equations? Thanks
If you replace $r$ by $x,$ the new equation defines a circle of radius $1$ in the X-Z plane. Now rotate about the Z-axis to get the torus. (You can use this trick whenever there is no $\theta.$)