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KK LEE Booklet Solution

STPM MT Functions Booklet A Page 24 Question 5

By KK LEE

July 1, 2015

Question

Express $\frac{x^3+3x}{(x+1)(x^2+1)^2}$ as partial fractions.

Solution

KK LEE Booklet Function A Page 24 Question 5

MT Booklet Function A page 24 question 5

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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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Book, Functions, MT Term 1, Partial Fractions, Proving, STPM 2016

Tags: Book Functions MT Term 1 Partial Fractions Proving STPM 2016

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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.

1 Comment

Prashant on October 12, 2015 at 4:54 am

Thanks for your dedication sir..
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STPM MT Functions Booklet A Page 24 Question 5

By KK LEE

Question

Solution

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

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

STPM MT Chapter 8 Booklet A Page 20 Question 6

STPM MT Chapter 8 Booklet A Page 20 Question 10

STPM MT Chapter 8 Booklet A Page 20 Question 8

Old Syllabus STPM Book For Sale

KK LEE

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+6018-2016992

kklee@kkleemaths.com

018-2016992

STPM MT Functions Booklet A Page 24 Question 5

By KK LEE

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Solution

KK LEE

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