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## Main Question or Discussion Point

**Need urgent help regarding polynomial equations**

I am having trouble with three questions and was requiring your help

1/ I was wondering how would u find the length of a cubic curve if it was straightened? (Is the only way to use trapezoidal approximation and add the lengths of the lines touching the curve or is there a better way)?

2/ Regarding q1, a ball bearing is dropped down a tube which is moudled to the shape of a cubic curve, and i have calculated the theoretical launch velocity, but how would i calculate friction? I have other trials where the cubic equation (shape of tube) is altered and calculated the launch velocity in those trials but vannot seem to calculate friction to find the actual launch velocity?

3/Another question, i was wondering apart from a logistic equation, what equatons could be made to predict population growth with a table of data i have?

Thanks for your help

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