Question

When parameterizing x=5y^2+2z^2-10, in front of the yz plane, are the following equivalent expressions?

r(x,y,z) = x=5y^2+2z^2-10 i + y j + z k for x>=0
and
r(x,y,z)= x i + y j + sqrt(x-5y^2+10)/2 k
??

Thank you in advance

Answer 1

yes