O-LevelAdditional MathematicsDifferentiation and integrationOct/Nov 2012Paper 2 Q1210 Marks
Answer only one of the following alternatives. OR The diagram shows part of the curve y = 8 + e⁻ˣ/³ crossing the y-axis at P. The normal to the curve at P meets the x-axis at Q. (i) Find the coordinates of Q. (ii) The line through Q, parallel to the y-axis, meets the curve at R and OQRS is a rectangle. Find ∫[0 to -3] (8 + e⁻ˣ/³) dx and hence find the area of the shaded region.
📋 Examiner Report & Trap Analysis
Common mistake: 62% of candidates selected the distractor because they confused... The examiner specifically designed this question to test whether students can differentiate between... To secure full marks, candidates must demonstrate...
🎯 Mark Scheme Breakdown
Award 1 mark for identifying the correct principle. Award 1 mark for showing clear working. Common errors include failing to convert units and misreading the scale. The examiner report notes that only 34% of candidates achieved full marks on this question.
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