Question

Can someone help me,please? Find an equation and skecth the graph of the surface obtained by revolving the curve (x-2)^2+y^2=1 about the y-axis.

Answer 1

I am confused by "the plane". What "plane"?

So, while you figure that out, let's start with the equation. You should be able to sketch that shape before rotation, including size(s) an location.

Answer 2

plane in 3-space my question is about surfaces,surface revolution

Answer 3

best you draw the 2D figure first. You should see that you have a circle with centre (2,0) and radius of 1.

Answer 4

I understand that planes exist in 3-space.
There are infinitely many planes. I do not understand which of these infinite number of planes you are asked to find. Is there a word missing from the question? Can you attach the original question?

I also understand surfaces of revolution. You will not be able to sketch the surface unless you start from a sketch of the 2D curve. I am asking you to sketch or at least describe the 2D curve.

Answer 5

@mww, thank you, but I was trying to make sure that @hacer knows how to plot the figure first. If someone can't do the basics then they are often seeking someone not to help but to do their work for them.

Answer 6

Ok.But I have this question maybe there is missing word.Thank you.

Answer 7

The plane could possibly refer to the 'base' the 2D figure rotates upon 'centrally'.

Answer 8

Anyhow if @hacer could draw the 2D figure first on an a Cartesian plane (xy) then we can have a look at how it goes.

Answer 9

We can take turns drawing on this.

Answer 10

Here is a different 'curve'.

Answer 11

And this is the rotation about the y-axis

Can someone add the plane we are seeking?