A-Level MathematicsYear 2017Q11
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
Paper Source:NH_Mathematics_all_2017.pdf
Get full Socratic AI guidance on this question — free in the Applaa desktop app
Appy Buddy guides you step-by-step toward the answer without giving it away. Type your attempt and get instant, mark-scheme-aware clues that teach you to think like an examiner.
Applaa Desktop App
Join Applaa Community
Create your own games, learn AI concepts, program interactive apps, and share with a kid-safe community approved by parents. Free forever on Windows and Mac.
Download Free
Available for Windows and macOS · COPPA Compliant
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.
Syllabus levelAdvanced Level (A-Level)
SubjectMathematics
Official MarksVariable (2–6 marks)