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H2 Math Summary Notes
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Pure Mathematics
Unit 1 Inequalities1 Question -
Unit 2 Graphing Techniques7 Questions
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Unit 3 Transformation of Graphs2 Questions
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Unit 4 Functions6 Questions
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Unit 5 APGP & Recurrence Relations6 Questions
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Unit 6 Sigma Notation6 Questions
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Unit 7 Techniques of Differentiation2 Questions
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Unit 8 Applications of Differentiation9 Questions
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Unit 9 Maclaurin Series2 Questions
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Unit 10 Techniques of Integration6 Questions
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Unit 11 Applications of Integration4 Questions
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Unit 12 Differential Equations2 Questions
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Unit 13 Vectors11 Questions
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Unit 14 Complex Numbers6 Questions
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StatisticsUnit 15 Permutation and Combinations7 Questions
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Unit 16 Probability5 Questions
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Unit 17 Discrete Random Variable4 Questions
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Unit 18 Binomial Distribution5 Questions
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Unit 19 Normal Distribution7 Questions
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Unit 20 Sampling and Estimation8 Questions
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Unit 21 Hypothesis Testing6 Questions
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Unit 22 Correlation and Linear Regression5 Questions
Lesson 11,
Question 4
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Worked Example 3
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Region \(A\) is bounded by \(y=\sqrt{x}\), \(y\)-axis and \(y=2-{{x}^{2}}\).
Region \(B\) is bounded by \(y=\sqrt{x}\), \(x\)-axis and \(y=2-{{x}^{2}}\).
Find
(i)
volume of \(A\) rotated through \(2\pi \) about \(y\)-axis;
(ii)
volume of \(B\) rotated through \(2\pi \) about \(x\)-axis;
(iii)
volume of \(B\) about through \(2\pi \)\(y\)-axis.
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