Mathematics Archives

EXERCISES QUESTION 01 The annual salaries, in thousands of dollars, for 11 employees at each of two companies...

01 Jun

EXERCISES QUESTION 01 The annual salaries, in thousands of dollars, for 11 employees at each of two companies...

EXERCISES QUESTION 01 (i) Solve the equation \(2|x-1|=3|x|.\) (ii) Hence solve the equation \(2|5^{x}-1|=3|5^{x}|\), giving your answer...

25 May

EXERCISES QUESTION 01 (i) Solve the equation \(2|x-1|=3|x|.\) (ii) Hence solve the equation \(2|5^{x}-1|=3|5^{x}|\), giving your answer...

EXERCISES QUESTION 01 Use logarithms to solve the equation \(5^{3-2x}=4(7^{x})\) giving your answer correct to 3 decimal places....

25 May

EXERCISES QUESTION 01 Use logarithms to solve the equation \(5^{3-2x}=4(7^{x})\) giving your answer correct to 3 decimal places....

EXERCISES QUESTION 01 Express the equation \(\sec \theta = 3 \cos \theta + \tan \theta\) as a quadratic...

25 May

EXERCISES QUESTION 01 Express the equation \(\sec \theta = 3 \cos \theta + \tan \theta\) as a quadratic...

EXERCISES QUESTION 01 The equation of a curve is \[y = 3 \cos 2x + 7 \sin x...

25 May

EXERCISES QUESTION 01 The equation of a curve is \[y = 3 \cos 2x + 7 \sin x...

EXERCISES QUESTION 01 Let \(\displaystyle I = \int_{0}^{1} \dfrac{x^5}{(1+x^2)^3} \, dx\). (i) Using the substitution \(u =...

25 May

EXERCISES QUESTION 01 Let \(\displaystyle I = \int_{0}^{1} \dfrac{x^5}{(1+x^2)^3} \, dx\). (i) Using the substitution \(u =...

EXERCISES QUESTION 01 (i) By sketching suitable graphs, show that the equation \(e^{2x} = 6 + e^{-x}\) has...

25 May

EXERCISES QUESTION 01 (i) By sketching suitable graphs, show that the equation \(e^{2x} = 6 + e^{-x}\) has...

EXERCISES QUESTION 01 With respect to the origin \(O\), the points \(A\) and \(B\) have position vectors given...

25 May

EXERCISES QUESTION 01 With respect to the origin \(O\), the points \(A\) and \(B\) have position vectors given...

25 May