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2018 · Pure Mathematics 1 · Question 2 · 7 marks
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2018 · Paper 1
14 questions · 100 marks shown
2018
9MA0/01
Pure Mathematics 1
14 shown · 100 marks
1
Trigonometry
2Small-angle approximations
radian approximation · algebraic simplification
Differentiation
3Differentiation and stationary points
fractional powers · first derivative
Trigonometry
4Radians and sectors
sector area · arc length
Numerical methods
5Numerical methods
change of sign · continuity
Differentiation
6Trigonometric differentiation
quotient rule · trigonometric identities
Vectors & geometry
7Coordinate geometry of circles
perpendicular gradients · line equation
Integration
8Integration with a parameter
logarithmic integration · definite integrals
Trigonometry
9Trigonometric modelling
sine model · units
Differentiation
10Implicit differentiation
product rule · implicit differentiation
Differential equations
11Differential equations
separation of variables · integration
Algebra & functions
12Binomial expansion
fractional indices · product of expansions
Exponentials & logs
13Exponential modelling
simultaneous exponential equations · parameter interpretation
Integration
14Integration by substitution or parts
definite integral · substitution
Vectors & geometry
Parametric equations
eliminating a parameter · curve sketch