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KK LEE Booklet Solution

STPM 2016 Term 3 Probability Booklet Permutation Solution

By KK LEE

July 4, 2016

STPM 2016 Mathematics (T) Term 3 Probability Booklet Permutation Combination Solution

Below are the sample solutions of the my STPM 2016 Term 3 Mathematics (T) Chapter 14 Probability booklet at page 6 to page 15. The questions are about permutation and combination and multiplicative and additive rule.

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STPM MT Chapter 8 Booklet A Page 20 Problem 11 Question 14

KK LEE Booklet Solution

Given that $y=\sec^{-1}(e^x)$ , prove that $\frac{dy}{dx}=\frac{1}{\sqrt{e^{2x}-1}}$ .

STPM MT Chapter 8 Booklet A Page 20 Problem 11 Question 11

KK LEE Booklet Solution

Given that $y=(\sin^{-1}x)^2$ , show that $(1-x^2)\frac{d^2y}{dx^2}-x\frac{dy}{dx}-2=$ 0.

STPM MT Chapter 8 Booklet A Page 20 Question 6

KK LEE Booklet Solution

Given that $y=\ln(1+x)-x+\frac{1}{2}x^2$ show that $\frac{dy}{dx}>=0$ for all values of $x>-1$ .

STPM MT Chapter 8 Booklet A Page 20 Question 10

KK LEE Booklet Solution

If $\sin y = 2 \sin x$ , show that (a) $(\frac{dy}{dx})^2=1+3\sec^2 y$ , (b) by differentiating (a) with respect to $x$ , show that $\frac{d^2y}{dx^2}=3\sec^2 y \tan y$ , and hence that $\cot y \frac{d^2y}{dx^2}-(\frac{dy}{dx})^2+1=$ $0$ .

STPM MT Chapter 8 Booklet A Page 20 Question 8

KK LEE Booklet Solution

Given $y=\ln(\sin px + \cos px)$ . Prove that $\frac{d^2y}{dx^2}+(\frac{dy}{dx})^2+p^2=0$ .

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KK LEE

KK LEE has been a STPM Mathematics tuition teacher since June 2006, but his love of Maths dates back to at least 1999 when he was Form 4. KK LEE started teaching in 2006 at Pusat Tuisyen Kasturi. He was known as "LK" when he was teaching in PTK. After teaching STPM Mathematics for 8 years in PTK, he joined Ai Tuition Centre in 2014. Over the years he has taught Mathematics (T), Mathematics (S), Mathematics (M), Additional Mathematics.

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STPM 2016 Term 3 Probability Booklet Permutation Solution

By KK LEE

STPM 2016 Mathematics (T) Term 3 Probability Booklet Permutation Combination Solution

2001 Nov

2002 June

2002 Nov

2003 June

2003 Nov

2004 Nov

2005 Nov

2005 June

2006 June

2006 Nov

2007 June

2007 Nov

2008 June

2008 Nov

2009 June

2009 Nov 1

2009 Nov 2

2010 June 1

2010 June 2

2010 June 3

2010 Nov 2

2011 June 1

2011 June 2

2011 June 3

2011 Nov 1

2011 Nov 2

2011 Nov 3

2012 June 1

2012 June 2

2012 June 3

2012 Nov 1

2012 Nov 2

2012 Nov 3

KK LEE

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