Other tags that relate to Polar Flower
Polar coordinates. Graph sketching. Expanding and factorising quadratics. Quadratic equations. Golden ratio. Turning points. Symmetry. Mathematical reasoning & proof. Trigonometric identities. Families of Graphs.There are 11 results
Broad Topics > Calculus > Turning points
Witch of Agnesi
Age 16 to 18 Challenge Level:
Sketch the members of the family of graphs given by y = a^3/(x^2+a^2) for a=1, 2 and 3.
Folium of Descartes
Age 16 to 18 Challenge Level:
Investigate the family of graphs given by the equation x^3+y^3=3axy for different values of the constant a.
Least of All
Age 16 to 18 Challenge Level:
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.
Quick Route
Age 16 to 18 Challenge Level:
What is the quickest route across a ploughed field when your speed around the edge is greater?
Curve Fitter 2
Age 16 to 18 Challenge Level:
Can you construct a cubic equation with a certain distance between its turning points?
Scientific Curves
Age 16 to 18 Challenge Level:
Can you sketch these difficult curves, which have uses in mathematical modelling?
Patterns of Inflection
Age 16 to 18 Challenge Level:
Find the relationship between the locations of points of inflection, maxima and minima of functions.
Calculus Analogies
Age 16 to 18 Challenge Level:
Consider these analogies for helping to understand key concepts in calculus.
Bird-brained
Age 16 to 18 Challenge Level:
How many eggs should a bird lay to maximise the number of chicks that will hatch? An introduction to optimisation.
NRICH is part of the family of activities in the Millennium Mathematics Project.