Date | May Specimen paper | Marks available | 2 | Reference code | SPM.1.SL.TZ0.10 |
Level | Standard Level | Paper | Paper 1 | Time zone | Time zone 0 |
Command term | Write down | Question number | 10 | Adapted from | N/A |
Question
The following diagram shows part of the graph of , . The shaded region R is bounded by the -axis, -axis and the graph of .
Write down an integral for the area of region R.
Find the area of region R.
The three points A(0, 0) , B(3, 10) and C(, 0) define the vertices of a triangle.
Find the value of , the -coordinate of C, such that the area of the triangle is equal to the area of region R.
Markscheme
A = A1A1
Note: Award A1 for the limits = 0, = 2. Award A1 for an integral of .
[2 marks]
28 A1
[1 mark]
M1
A1
[2 marks]
Examiners report
It was pleasing to see that, for those candidates who made a reasonable attempt at the paper, many were able to identify the correct values on the tree diagram.