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Resources tagged with Turning points similar to Patterns of Inflection:

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Broad Topics > Pre-Calculus and Calculus > Turning points

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Patterns of Inflection

Stage: 5 Challenge Level: Challenge Level:1

Find the relationship between the locations of points of inflection, maxima and minima of functions.

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Calculus Analogies

Stage: 5 Challenge Level: Challenge Level:1

Consider these analogies for helping to understand key concepts in calculus.

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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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Scientific Curves

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

Can you sketch these difficult curves, which have uses in mathematical modelling?

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Curve Fitter

Stage: 5 Challenge Level: Challenge Level:1

Can you fit a cubic equation to this graph?

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Curvy Catalogue

Stage: 5 Challenge Level: Challenge Level:1

Make a catalogue of curves with various properties.

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Witch of Agnesi

Stage: 5 Challenge Level: Challenge Level:1

Sketch the members of the family of graphs given by y = a^3/(x^2+a^2) for a=1, 2 and 3.

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Bird-brained

Stage: 5 Challenge Level: Challenge Level:1

How many eggs should a bird lay to maximise the number of chicks that will hatch? An introduction to optimisation.

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Folium of Descartes

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

Investigate the family of graphs given by the equation x^3+y^3=3axy for different values of the constant a.

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Least of All

Stage: 5 Challenge Level: Challenge Level:1

A point moves on a line segment. A function depends on the position of the point. Where do you expect the point to be for a minimum of this function to occur.

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Quick Route

Stage: 5 Challenge Level: Challenge Level:1

What is the quickest route across a ploughed field when your speed around the edge is greater?


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