O-LevelAdditional MathematicsDifferentiation and integration4037/11 · Oct/Nov 2010 · Q56 Marks
A curve has the equation y = 2x sin x + π/3. The curve passes through the point P(π/2, a).
- (i)Find, in terms of π, the value of a.[1]
- (ii)Using your value of a, find the equation of the normal to the curve at P.[5]
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2010). The mark or mark type is shown in brackets.
- B1 Must be in terms of π
- M1, A1 M1 for attempt to differentiate a product
- M1 M1 for m₁m₂ = -1, must have used differentiation
- M1, A1 M1 for attempt at a normal equation, must have used differentiation, allow unsimplified
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