MT Term 2 Archives - KK LEE MATHEMATICS

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MT Term 2

STPM Mathematics (T) The second semester is to study Calculus. Such as Limits and continuity, Differentiation, Integration, Differential equations, Maclaurin series and Numerical methods.

Molti - Blog

STPM 2014 Ulangan Result Day

STPM 2014 Ulangan Result Day

Feb 6 | STPM Exam

STPM 2014 Repeat Term 1 and Term 2 Result Day

STPM 2015 MT Chapter 8 Booklet B Page 35 Problem 17

Jan 30 | KK LEE Booklet Solution

June 2014/1

Pelangi Differentiation Exercise 2.15

Pelangi Differentiation Exercise 2.15

Jan 20 | Textbook Solution

An inverted right circular cone of semi-vertical angle...

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.

Integration question from student I

Integration question from student I

Dec 31 | Random Question

Random question which was asked by a lovely student.

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 $\frac{d^2y}{dx^2}+(\frac{dy}{dx})^2+p^2=0$ .