STPM 2018 term 2 mathematics (T) Coursework sample

Guideline for solving STPM 2018 Term 2 Mathematics (T) PBS coursework assignment

methodology

Hint: limits

L’ Hopital rule

Rationalisation

Indeterminate Form

Existance of limits

Thanks the two students who sent me the question paper via uploading in dropbox 😀

You can try to work out the intro by yourself. Basically, you can google more about “limits”.

You can find the sample of the results below. Scroll down for all the sample answers and solutions.

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

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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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0182016992

kklee@kkleemaths.com

STPM Mathematics (T) Coursework Sample Solution

By KK LEE

STPM 2018 term 2 mathematics (T) Coursework sample

Hint: limits

L’ Hopital rule

Rationalisation

Indeterminate Form

Existance of limits

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

Part a (i)

Part a (ii)

Part a (iii)

part b

all part

part a (i)

Part a (ii)

Part a (iii)

Part a (iv)

Part b (i)

Part b (ii)

Part b (iii)

KK LEE

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+6018-2016992

kklee@kkleemaths.com

018-2016992

STPM Mathematics (T) Coursework Sample Solution

By KK LEE

STPM 2018 term 2 mathematics (T) Coursework sample

Hint: limits

L’ Hopital rule

Rationalisation

Indeterminate Form

Existance of limits

Part a (i)

Part a (ii)

Part a (iii)

part b

all part

part a (i)

Part a (ii)

Part a (iii)

Part a (iv)

Part b (i)

Part b (ii)

Part b (iii)

KK LEE

0 Comments

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