SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Solve the polynomial equation. In order to obtain the first root, use synthetic division to test the possible rational roots. \( \begin{array}{ll}\text { 13) } 3 x^{3}-17 x^{2}+18 x+8=0\end{array} \)

3.3 Show that: \[ \sqrt{1-\frac{\tan ^{2} \theta}{1+\tan ^{2} \theta}}=\cos \theta \] Hence or otherwise solve the equation \[ \sqrt{1-\frac{\tan ^{2} \theta}{1+\tan ^{2} \theta}}=0,60181 \] Where \( 0^{\circ} \leq \theta \leq 360^{\circ} \)

05) Simplifique as frações algébricas: (a) \( \left(16 x^{2}\right):\left(-4 x^{2}\right) \) (b) \( \left(36 x y^{2}\right):(-6 x y) \) (c) \( (-35 a):(+7 a) \) (d) \( \left(+3 a b^{2}\right):\left(-\frac{10}{5}\right) \) (e) \( \left(-\frac{4}{5} x^{2} y\right):\left(+\frac{4}{3} x^{2} y\right) \)

\( \left. \begin{array} { c } { 787.827 .179 } \\ { \square } \\ { \square } \end{array} \right. \)

\( f(x)=-2 x+3 \) en \( x=-1 \)

If the null hypothesis \( H_{0}: p=p_{0} \) is true, the of is \( \sqrt{\frac{p_{0}\left(1-p_{0}\right)}{n}} \)