Showing posts from December, 2018

Logarithms (CIE)

$\def\D{\displaystyle}$ 1 (CIE 2012, s, paper 11, question 8) (a) Find the value of $\D x$ for wh…

Trigonometry (Identity)

$\def\D{\displaystyle}$ Example 1  Prove that $\D \sin^4x+\cos^4x=\frac{1}{4}(3+\cos 4x).$ $\…

Indices (CIE)

$\def\D{\displaystyle}$ 1 (CIE 2012, s, paper 12, question 2) Using the substitution $\D u = 2^x,…

Calculus (CIE )

$\def\D{\displaystyle}$ 1 (CIE 2012, s, paper 21, question 4) (i) Find $\D \frac{d}{dx}(x^2\ln x)…

Area under curve CIE)

$\def\D{\displaystyle}$ 1 (CIE 2012, s, paper 11, question 11either) The diagram shows part of…

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