1) (No longer relevant)
[6]
2) By using the method of partial fractions, evaluate the improper integral
[5]
3) Calculate the Laplace transform for .
[4]
4) Let and for be a point on an arch of a cycloid.
i) Find a simple expression for in terms of .
ii) Find the length of .
[7]
5) Find the stationary points of the function
and determine their nature.
[8]
Total: 30