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Home Q & A Board Science-Related Homework Help Mathematics
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dashylia dashylia
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11 years ago
Hi! I was wondering how it is possible to plot a graph of y against x for an implicit function, for example f(x) = (y^2) + 3xy. I know that you can get various different software packages to do this for you, but I would really like to know how to do it by hand (no matter how time consuming it may be!).
Thanks for the help,
lalilulelosamsung
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#1
11 years ago
use implicit differentiation and algebra to find x- and y-intercepts,
critical points, and inflection points
wrote...
#2
11 years ago
The equation, as it is written, is a function of two variables since it has not been equated to anything, so you cannot express x in terms of y.
f(x,y) = y^2+3xy
You'll have to vary both x and y and evaluate f(x,y) and the graph is three-dimensional.
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