- Thread starter
- #1
- Apr 14, 2013
- 4,262
Hi!!!
Which is the parametrization of z= y^2-x^2 , and f(x,y)=(-x,-y,z) ???
Which is the parametrization of z= y^2-x^2 , and f(x,y)=(-x,-y,z) ???
I don't really know...It is given from the exerciseI don't understand what "f(-x, -y, z)" has to do with this. What is "f"?
Looks to me as if you're supposed to give a parametrization in the form f(x,y).I don't really know...It is given from the exercise![]()
You mean:\(\displaystyle y=(1+t)^2\)
\(\displaystyle x=(1-t)^2\)
\(\displaystyle z=4t.....\)
may be?
Ok! Thanks!!!!Looks to me as if you're supposed to give a parametrization in the form f(x,y).
In that case your parametrization would be:
$$f(x,y)=(-x,-y,y^2-x^2)$$
This is a curve while the original equation is a surface...\(\displaystyle y=(1+t)^2\)
\(\displaystyle x=(1-t)^2\)
\(\displaystyle z=4t.....\)
may be?
yes!!You mean:
\(\displaystyle y^2=(1+t)^2\)
\(\displaystyle x^2=(1-t)^2\)
\(\displaystyle z=4t\)
Right??