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If there is an independent variable, then it will be on the x-axis. Of course, there need not be any independent variable.
Look and see what a good cook-book has to say about cooking times in Denver.
I have never heard of a du-point chart, but a DuPont Chart illustrates the relationship between key rations and components of a business. See realted links for an interactive DuPont Chart.
It is normally perpendicular to both of them - passing through the intersection of those axes - i.e. through the point (0,0,0)
Yes. When all vectors point in the same direction the inequality rule is applied and r can be less than r1 + r2.