Can any one help me with this:

Find the exact values of r, k, and x at the cusp point shown in Figure 3.7.5

r(x) = (2* (x^2))/ (1+(x^2))^2 , k(x) = 2*(x^3) /( x^2) - 1

[IMG]http://i51.tinypic.com/245hw07.jpg[/IMG]

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- Jun 3rd 2011, 02:00 AMsandeepvellinon linear systems
Can any one help me with this:

Find the exact values of r, k, and x at the cusp point shown in Figure 3.7.5

r(x) = (2* (x^2))/ (1+(x^2))^2 , k(x) = 2*(x^3) /( x^2) - 1

[IMG]http://i51.tinypic.com/245hw07.jpg[/IMG] - Jun 3rd 2011, 03:14 AMHallsofIvy
Surely that is not the whole problem??? We can read

**approximate**values for r and k off the graph but we cannot get exact values without knowing what the equations of those graphs are. And there is no mention of even what x**means**or how it is related to r and k, much less any way of finding a value for x.