$Find the gradient of BC.$

$$\begin{gathered} Evaluate \\ i) {\int }_{\raisebox{1ex}{$\mathrm{\pi }$}\!\left/ \!\raisebox{-1ex}{$6$}\right.}^{\raisebox{1ex}{$\mathrm{\pi }$}\!\left/ \!\raisebox{-1ex}{$2$}\right.}\cos \mathcal{x}d\mathcal{x} \\ ii) {\int }_9^{13}\frac{d\mathcal{x}}{\mathcal{x}-7}d\mathcal{x} \end{gathered}$$

$Evaluate \frac{\mathrm{\pi }+}{\mathrm{\pi }-2} correct to one decimal piece.$

$Solve 2\mathcal{x}+ 1\le 7 and graph the solution on a number line.$

$Retionalise the denominator of \frac{1}{\sqrt{6}-2}$

$$\begin{gathered} Find the limiting sum of the geometric series \\ 9-3+1-............ \end{gathered}$$

$Factorise 6{\mathcal{x}}^2-\mathcal{x}-2$

Differentiate ${\left(2\mathcal{x}+1\right)}^5$ 

(A) $5{\left(2\mathcal{x}+1\right)}^4$ 

(B) $10{\left(2\mathcal{x}+1\right)}^4$ 

(C) $\frac{5}{2}{\left(2\mathcal{x}+1\right)}^4$ 

(D) $\frac{{\left(2\mathcal{x}+1\right)}^6}{12}$

Find $\int {\left(2\mathcal{x}+1\right)}^{\frac{1}{3}}d\mathcal{x}$ 

(A) $-\frac{2}{3}{\left(2\mathcal{x}+1\right)}^{\frac{1}{3}}+C$ 

(B) $\frac{3}{4}{\left(2\mathcal{x}+1\right)}^{\frac{4}{3}}+C$ 

(C) $\frac{3}{8}{\left(2\mathcal{x}+1\right)}^{\frac{4}{3}}+C$ 

(D) $\frac{8}{3}{\left(2\mathcal{x}+1\right)}^{\frac{4}{3}}+C$

$$\begin{gathered} Differentiate with respect to \mathcal{x}: \\ \frac{1}{\mathcal{x}} \\ \frac{3\mathcal{x}}{e^{\mathcal{x}}-1} \\ {(1+\cos \mathcal{x})}^8 \end{gathered}$$