What surface represented by #x^2+y^2=9z#? Obtain the section of this surface by the plane #y=0# ?

A sketch would be helpful

1 Answer
Raj · Cesareo R.
May 22, 2017

See below.

Explanation:

Revolution paraboloid about the #z=0# axis

enter image source here

Following to your answer:

#x^2/9+y^2/9=z#
#(x/3)^2+(y/3)^2=z#
This is an elliptical paraboloid

The section of the plane #y=0# is the parabola
#x^2=9z#

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