Graph this inequality: \[ x+2 y<-2 \] Plot points on the boundary line. Select the line to switch between solid and dotted. region to shade it.

2. \( \lim _{\theta \rightarrow \frac{\pi}{2}} \frac{\operatorname{sen}^{2} \theta}{\tan ^{3} \theta} \)

Dilate the vector \( \langle 7,-5\rangle \) by a factor of 5 . \( \langle[?],[\square\rangle \)

Write your answers in the spaces provided. You must write down all the stages in your working. 1 Write \( 38 \% \) as a decimal. (Total for Question 1 is 1 mark)

Use synthetic division to divide the first polynomial by the second. \[ 3 x^{4}-13 x^{3}+14 x^{2}-7 x+3 \quad x-3 \]

Vereinfache die Wurzelterme mithilfe der Potenzgesetze: \( \begin{array}{lll}\text { a) } \sqrt{\sqrt[3]{a}} & \text { b) } \sqrt[3]{\sqrt[4]{a}} & \text { c) } \sqrt[3]{a^{2}} \cdot \sqrt[3]{a^{5}} \\ \text { e) } \sqrt{\sqrt{\sqrt{a}}} & \text { f) } \sqrt{a \sqrt{a \sqrt{a}}} & \text { g) } \sqrt[3]{\frac{1}{\sqrt{a}}}\end{array} \)