Page 06 MARKS 11. A and B are the points (−7, 2) and (5, a). AB is parallel to the line with equation 3y − 2x = 4. Determine the value of a. 12. Given that log log 1 36 4 2 a a − = , find the value of a. 13. Find ( ) 1 2 1 5 4 dx x − ⌠ ⎮ ⌡ , 5 4 x < . 14. (a) Express sin cos 3 ° ° x x − in the form ( ) sin ° k x a − , where k > 0 and 0 < a < 360. (b) Hence, or otherwise, sketch the graph with equation sin cos 3 ° ° y x x = − , 0 ≤ x ≤ 360. Use the diagram provided in the answer booklet. 3 3 4 4 3
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Exam Specification Info
This question is part of the UK A-Level Mathematics syllabus. In the actual exam, structured questions typically require linking specific keywords to gain full marks. Applaa helps you drill these topics.
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