cjohnso0 Posted June 13, 2008 Share Posted June 13, 2008 Hey everybody! Hopefully someone has tried this without a computer sometime in the last 20 years or so. I want to draw a graph of cartesian equations, without using software. How does one go about doing this? Example: [math]x^4=x^2y-y^3[/math] I know what it should look like, as I can cheat and graph it online, but assuming my computer explodes tonight, how can I visualize something like this? Do I just plug in x = 0 and solve for y, etc...? Or is there some kind of easier path I should follow? Thanks in advance! Chris Link to comment Share on other sites More sharing options...
ydoaPs Posted June 13, 2008 Share Posted June 13, 2008 Find the x intercepts by setting y=0 and the y intercepts by setting x=0. Set the first derivative to zero to find the maximums and minimums. Check if the second derivative is positive, negative, or zero at those points to see the concavity. Link to comment Share on other sites More sharing options...
DeanK2 Posted June 19, 2008 Share Posted June 19, 2008 [math]x^4=x^2y-y^3[/math]; implicit differrentiation and the product rule must be applied. Solve as stated. Link to comment Share on other sites More sharing options...
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