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Give the correct name for the following statements.
2.1 Solve the system of equation 
(3)
2.2 Given: 
a) Calculate all the asymptotes of f(x), must show all working out clearly on the space below:
(1)
b) Sketch the graph of f(x): (Pencil is allowed to draw graph)
(i) Graph of f(x) must be accurate (ii) Label and show the asymptotes correctly
(iii) Must show on the graph any ‘points’ of discontinuity for f(x).
| f(x) | |||||||||||
| -10 | -8 | -6 | -4 | -2 | x | ||||||
| -2 | |||||||||||
| -4 | |||||||||||
| -6 | |||||||||||
| -8 |
(2)
c) Clearly describe the behaviour of the graph of f(x) and comment on any ‘discontinuities’ of f(x).
(2)
2.3 Calculate: 
Show all working clearly on space below:
(1)
2.4 Show clearly by calculations why:
, is defined as one-sided limits.
(2)
2.5
The diagram shows a cube 
in which the length of each side is 4 units. The unit vectors i, j and k are parallel to 
respectively. The mid-points of OA and DG are P and Q respectively and R is the centre of the square face ABFE.
Use a scalar product to find angle QPR.
[ 4 ]
[15]
Question 3: LONG QUESTIONS / PROBLEM SOLVING / INVESTIGATION
3.1 Решите систему неравенство 
;
(7)
3.2 The line l has equation r = j + k + s (i – 2 j + k). The plane p has equation 
.
(i) Show that the line l lies in the plane p.
(2)
(ii) A second plane is perpendicular to the plane p, parallel to the line l and contains the point with position vector 2 i + j +4 k. Find the equation of this plane, giving your answer in the form 
.
(6)
[15]
Section 1: MULTIPLE CHOICE
For each question there are four possible answers A, B, C and D. Choose the one you consider correct and record your choice in soft pencil on the Answer Sheet below.
| Section 1: Multiple Choice | ||||||||||
| 1.1 | A | B | C | D | ||||||
| 1.2 | A | B | C | D | ||||||
| 1.3 | A | B | C | D | ||||||
| 1.4 | A | B | C | D | ||||||
| 1.5 | A | B | C | D | ||||||
| 1.6 | A | B | C | D | ||||||
| 1.7 | A | B | C | D | ||||||
| 1.8 | A | B | C | D | ||||||
| 1.9 | A | B | C | D | ||||||
| 1.10 | A | B | C | D | ||||||
| 1.11 | A | B | C | D | ||||||
| 1.12 | A | B | C | D | ||||||
| 1.13. | A | B | C | D | ||||||
| 1.14. | A | B | C | D | ||||||
| 1.15. | A | B | C | D | ||||||
| Баллы/Exam Score | Перевод в 24балла/24-MARK SCORE |
| В баллах/Summative Score | Оценка за/Term Grade | |
| 22 - 24 | ||
| 18 - 21 | ||
| 13 - 17 | ||
| 0 -12 |
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| Question 1: MULTIPLE CHOICE | | | Test 2. The Sequence of Tenses. Choose the correct answer. |