Date | November 2017 | Marks available | 2 | Reference code | 17N.2.SL.TZ0.S_5 |
Level | Standard Level | Paper | Paper 2 | Time zone | Time zone 0 |
Command term | Find | Question number | S_5 | Adapted from | N/A |
Question
Let , for . The graph of passes through the point , where .
Find the value of .
The following diagram shows part of the graph of .
The region enclosed by the graph of , the -axis and the lines and is rotated 360° about the -axis. Find the volume of the solid formed.
Markscheme
* This question is from an exam for a previous syllabus, and may contain minor differences in marking or structure.
valid approach (M1)
eg, intersection with
2.32143
(exact), 2.32 A1 N2
[2 marks]
attempt to substitute either their limits or the function into volume formula (must involve , accept reversed limits and absence of and/or , but do not accept any other errors) (M1)
eg
331.989
A2 N3
[3 marks]