Task 1 - Region Between Curves 16 Marks
For this task you need to write a report to find the area of the finite region bounded by the straight-line with equation y = -x and the parabola y = N-x-x² where N is the last non zero digit of your ID number.
Your report must include:
• An explanation in your own words of the method/approach you would use to find the wanted area
• Appropriate graphs (using GeoGebra or similar software) and appropriate expressions and formulae using a correct mathematical notation
• All the calculations made clearly stated using the equation editor in Word (or similar software)
• The final answer appropriately rounded or in exact form if possible
• A comment on a possible different method/approach that you would use and a comparison of this method with the one you chose. If you think that there is only one method/approach to this problem you need to clearly state the reasons why you think so.
