Units Archive - Page 190 of 384

QUESTION 07 The equation of a line is \(y=mx+c\), where m and c are constant, and the equation of...

18 May

A Level Math Paper 1 Quadratics 07

QUESTION 07 The equation of a line is \(y=mx+c\), where m and c are constant, and the equation of...

QUESTION 06 By using suitable substitution, solve the equation \((2x-3)^2- \dfrac {4}{(2x-3)^2} -3=0\). 🔍 Solution \begin{equation*} \begin{split} &...

18 May

A Level Math Paper 1 Quadratics 06

Andi

QUESTION 06 By using suitable substitution, solve the equation \((2x-3)^2- \dfrac {4}{(2x-3)^2} -3=0\). 🔍 Solution \begin{equation*} \begin{split} &...

QUESTION 05 Showing all necessary working, solve the equation \(4x-11x^{\frac 12}+6=0\). 🔍 Solution \begin{equation*} \begin{split} & \text{Solve the...

18 May

A Level Math Paper 1 Quadratics 05

Andi

QUESTION 05 Showing all necessary working, solve the equation \(4x-11x^{\frac 12}+6=0\). 🔍 Solution \begin{equation*} \begin{split} & \text{Solve the...

QUESTION 04 The equation of a curve is \(y=(2k-3) x^2-kx-(k-2)\), where k is a constant. The line \(y=3x-4\) is...

18 May

A Level Math Paper 1 Quadratics 04

Andi

QUESTION 04 The equation of a curve is \(y=(2k-3) x^2-kx-(k-2)\), where k is a constant. The line \(y=3x-4\) is...

QUESTION 03 (a) Express \(16x^2-24x+10\) in the form \((4x+a)^2+b\). (b) It is given that the equation \(16x^2-24x+10=k\), where...

18 May

A Level Math Paper 1 Quadratics 03

Andi

QUESTION 03 (a) Express \(16x^2-24x+10\) in the form \((4x+a)^2+b\). (b) It is given that the equation \(16x^2-24x+10=k\), where...

QUESTION 02 The function f is defined by \(f(x)=x^2-4x+8\) for \(x \in R\). (i) Express \(x^2-4x+8\) in the form...

18 May

A Level Math Paper 1 Quadratics 02

Andi

QUESTION 02 The function f is defined by \(f(x)=x^2-4x+8\) for \(x \in R\). (i) Express \(x^2-4x+8\) in the form...

QUESTION 01 (i) Express \(2x^2-10x+8\) in the form \(a(x+b)^2+c\), where a, b and c are constant and use your...

18 May

A Level Math Paper 1 Quadratics 01

Andi

QUESTION 01 (i) Express \(2x^2-10x+8\) in the form \(a(x+b)^2+c\), where a, b and c are constant and use your...

EXERCISES QUESTION 01 Showing all necessary working, find \(\displaystyle \int_{1}^{4}\left(\sqrt{x}+\dfrac{2}{\sqrt{x}}\right)dx.\) 🔍 Check Answer \begin{equation*} \begin{split} & \int_{1}^{4}...

18 May

A Level Math Paper 1 Integration 00

Andi

EXERCISES QUESTION 01 The function \(f\) is defined for \(x \ge 0\) by \(f(x)=(4x+1)^{\dfrac{3}{2}}\). (i) Find \(f^{\prime}(x)\) and...

18 May

A Level Math Paper 1 Differentiation 00

Andi

EXERCISES QUESTION 01 The function \(f\) is defined for \(x \ge 0\) by \(f(x)=(4x+1)^{\dfrac{3}{2}}\). (i) Find \(f^{\prime}(x)\) and...

EXERCISES QUESTION 01 Find the coefficient of \(\dfrac{1}{x^{2}}\) in the expansion of \(\left(3x+\dfrac{2}{3x^{2}}\right)^{7}\). 🔍 Check Answer \begin{equation*}...

18 May

A Level Math Paper 1 Series 00

Andi

EXERCISES QUESTION 01 Find the coefficient of \(\dfrac{1}{x^{2}}\) in the expansion of \(\left(3x+\dfrac{2}{3x^{2}}\right)^{7}\). 🔍 Check Answer \begin{equation*}...