STPM 2015 Archives - Page 2 of 6

STPM 2015 MT Chapter 8 Booklet B Page 35 Problem 17

June 2014/1

Federal Territory Day

Mathematics (T) class at Ai Tuition Centre (Kuala Lumpur) on Sunday 1st February 2015 are cancelled due to Federal Territory Day.

STPM 2015 MT Chapter 8 Booklet A Page 20 Problem 11 Question 2

Jan 4 | KK LEE Booklet Solution

Given that $y=\sqrt{\cos{x}}$ , show that $4y^3\frac{d^2y}{dx^2}+y^4+1=$ 0.

STPM 2015 MT Chapter 8 Booklet A Page 20 Problem 11 Question 14

Dec 29 | KK LEE Booklet Solution

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

2015 MT Chapter 8 Booklet A Page 20 Problem 11 Question 11

Dec 27 | 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.

2015 MT Chapter 8 Booklet A Page 20 Question 6

Dec 26 | 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 $x>-1$ .

2015 MT Chapter 8 Booklet A Page 20 Question 10

Dec 26 | 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 $\cot y \frac{d^2y}{dx^2}-(\frac{dy}{dx})^2+1=$ $0$ .

2015 MT Chapter 8 Booklet A Page 20 Question 8

Dec 24 | KK LEE Booklet Solution

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

0182016992

kklee@kkleemaths.com

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STPM 2015 MT Chapter 8 Booklet B Page 35 Problem 17

Federal Territory Day

STPM 2015 MT Chapter 8 Booklet A Page 20 Problem 11 Question 2

STPM 2015 MT Chapter 8 Booklet A Page 20 Problem 11 Question 14

2015 MT Chapter 8 Booklet A Page 20 Problem 11 Question 11

2015 MT Chapter 8 Booklet A Page 20 Question 6

2015 MT Chapter 8 Booklet A Page 20 Question 10

2015 MT Chapter 8 Booklet A Page 20 Question 8

018-2016992

kklee@kkleemaths.com

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