Ten-Year-Series (TYS) Solutions | Past Year Exam Questions

2008 A Level H2 Math

These Ten-Year-Series (TYS) worked solutions with video explanations for 2008 A Level H2 Mathematics are suggested by Mr Gan. For any comments or suggestions please contact us at support@timganmath.edu.sg.

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2008 A Level H2 Math Paper 1 Question 1
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2008 TYS 2008

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2008 A Level H2 Math Paper 1 Question 10 [Modified] (ii)
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2008 A Level H2 Math Paper 1 Question 11 [Modified]
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*Not in the latest 9758 H2 Math Syllabus


2008 TYS 2008


2008 TYS 2008


2008 TYS 2008
*Not in the latest 9758 H2 Math Syllabus


2008 TYS 2008 2008 TYS 2008


2008 TYS 2008
*Not in the latest 9758 H2 Math Syllabus
2008 TYS 2008


2008 TYS 2008


2008 TYS 2008
*Not in the latest 9758 H2 Math Syllabus
2008 TYS 2008 2008 TYS 2008


2008 TYS 2008

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2008 A Level H2 Math Paper 2 Question 1 

Let $\text{f}\left( x \right)={{\text{e}}^{x}}\sin x$.

(i)

Sketch the graph of $y=\text{f}\left( x \right)$ for $-3\le x\le 3$.

(i) Sketch the graph of $y=\text{f}\left( x \right)$ for $-3\le x\le 3$.

(ii)

Using MF26, find the series expansion of $\text{f}\left( x \right)$ in ascending powers of $x$, up to and including the term in ${{x}^{3}}$.

(ii) Using MF26, find the series expansion of $\text{f}\left( x \right)$ in ascending powers of $x$, up to and including the term in ${{x}^{3}}$.

Denote the answer to part (ii) by $\text{g}\left( x \right)$.

(iii)

On the same diagram as in part (i), sketch the graph of $y=\text{g}\left( x \right)$. Label the two graphs clearly.

(iii) On the same diagram as in part (i), sketch the graph of $y=\text{g}\left( x \right)$. Label the two graphs clearly.

(iv)

Find, for $-3\le x\le 3$, the set of values of $x$ for which the value of $\text{g}\left( x \right)$ is within $\pm 0.5$ of the value of $\text{f}\left( x \right)$.

(iv) Find, for $-3\le x\le 3$, the set of values of $x$ for which the value of $\text{g}\left( x \right)$ is within $\pm 0.5$ of the value of $\text{f}\left( x \right)$.

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2008 TYS 2008

2008 TYS 2008

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2008 TYS 2008

2008 TYS 2008

2008 TYS 2008

2008 TYS 2008

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2008 A Level H2 Math Paper 2 Question 4
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