problem

Favourite

### Slide

This function involves absolute values. To find the slope on the
slide use different equations to define the function in different
parts of its domain.

problem
###
Slide

Favourite

This function involves absolute values. To find the slope on the
slide use different equations to define the function in different
parts of its domain.

problem
###
Quick Route

Favourite

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

problem
###
Exponential Trend

Favourite

Find all the turning points of y=x^{1/x} for x>0 and decide
whether each is a maximum or minimum. Give a sketch of the graph.

problem
###
Bird-Brained

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

problem
###
Towards Maclaurin

Build series for the sine and cosine functions by adding one term
at a time, alternately making the approximation too big then too
small but getting ever closer.

problem
###
Least of All

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.

problem
###
Integration matcher

Can you match the charts of these functions to the charts of their integrals?

problem
###
Operating machines

What functions can you make using the function machines RECIPROCAL and PRODUCT and the operator machines DIFF and INT?

problem
###
Calculus Countdown

Can you hit the target functions using a set of input functions and a little calculus and algebra?