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Challenge level: Challenge Level:1 Challenge Level:2 Challenge Level:3

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Broad Topics > Sequences, Functions and Graphs > Curve Fitting

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Back Fitter

Stage: 4 Challenge Level: Challenge Level:1

10 graphs of experimental data are given. Can you use a spreadsheet to find algebraic graphs which match them closely, and thus discover the formulae most likely to govern the underlying processes?

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Interpolating Polynomials

Stage: 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Given a set of points (x,y) with distinct x values, find a polynomial that goes through all of them, then prove some results about the existence and uniqueness of these polynomials.

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Guessing the Graph

Stage: 4 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Can you suggest a curve to fit some experimental data? Can you work out where the data might have come from?

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Rational Request

Stage: 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Can you make a curve to match my friend's requirements?

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Graphic Biology

Stage: 5 Challenge Level: Challenge Level:1

Several graphs of the sort occurring commonly in biology are given. How many processes can you map to each graph?

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Lennard Jones Potential

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

Investigate why the Lennard-Jones potential gives a good approximate explanation for the behaviour of atoms at close ranges

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Curve Fitter 2

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

Can you construct a cubic equation with a certain distance between its turning points?

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Brimful

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

Can you find the volumes of the mathematical vessels?

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Integration Matcher

Stage: 5 Challenge Level: Challenge Level:1

Match the charts of these functions to the charts of their integrals.


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