Or search by topic
A long stick has to be carried horizontally along a narrow corridor and around a right-angled bend. The corridor is a centimetres wide on one side of the bend and b centimetres wide on the other side. Find, in terms of a and b, the length of the longest stick that can be manoeuvered horizontally around the bend?
If the object is 2 metres long and the two branches of the corridor are 65 centimetres and 75 centimetres respectively is it possible to manoeuvre the stick around the bend?
Generalise the sum of a GP by using derivatives to make the coefficients into powers of the natural numbers.
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.
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.