Each part of this question is designed so you can demonstrate your ability to perform the essential algebraic techniques required to manipulate more complicated engineering mathematics. In order to achieve full marks in your answers, you must include full workings for each step taken, explaining each step using words and mathematics. The solution to Example 1.4 in Part 1, Chapter 1, should be used as a guide for the detail expected in your answers. Each part of this question is worth 4 marks, with 1 mark given for the correct answer, 1 mark for the correct method and 2 marks given for the communication of your working using good mathematical style