How to describe this Picture in words.

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Homework Statement


I have this solution as domain of f,wheref(x,y)=1/(x+y2)
attachment.php?attachmentid=20213&stc=1&d=1251025379.png


Please describe this picture in words for me...PLZ


Homework Equations





The Attempt at a Solution


I can't figure it out..
 

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Your parabola has equation x=ay2+by+c

I can describe it as parabola with horizontal axis of symmetry and vertex (b/2a)=0, so b=0

Also, c=0 because the graph isn't shifted left or right.

and your equation would look like x=ay2

Regards.
 
M.Qayyum said:

Homework Statement


I have this solution as domain of f,wheref(x,y)=1/(x+y2)
attachment.php?attachmentid=20213&stc=1&d=1251025379.png


Please describe this picture in words for me...PLZ


Homework Equations





The Attempt at a Solution


I can't figure it out..

It's a graph of the domain of f(x,y)=1/(x+y^2). The function is defined everywhere except where the denominator vanishes, x+y^2=0. The dashed line marks that curve of points that are NOT in the domain.
 
You guys are such mathematicians. Describe the picture in words.
 
Dick said:
It's a graph of the domain of f(x,y)=1/(x+y^2). The function is defined everywhere except where the denominator vanishes, x+y^2=0. The dashed line marks that curve of points that are NOT in the domain.

Thanks for your help...
 
Дьявол said:
Your parabola has equation x=ay2+by+c

I can describe it as parabola with horizontal axis of symmetry and vertex (b/2a)=0, so b=0

Also, c=0 because the graph isn't shifted left or right.

and your equation would look like x=ay2

Regards.

Also Thanks to you...
Regards
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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