\( \cos ^ { 2 } x - 2 \cos x + 1 > 0 \)

1) \( \left(4 x^{2}+5\right)\left(x^{2}-2\right)\left(x^{2}+2\right)=0 \) A) \( \left\{\frac{i \sqrt{5}}{2},-\frac{i \sqrt{5}}{2}, \sqrt{2},-\sqrt{2}, i \sqrt{2},-i \sqrt{2}\right\} \) B) \( \left\{\frac{i \sqrt{10}}{2},-\frac{i \sqrt{10}}{2}, \sqrt{2},-\sqrt{2}, i \sqrt{2},-i \sqrt{2}\right\} \) C) \( \left\{\frac{i \sqrt{15}}{3},-\frac{i \sqrt{15}}{3}, i \sqrt{3},-i \sqrt{3}, i \sqrt{2},-i \sqrt{2}\right\} \) D) \( \left\{\right. \) mult. \( \left.2, \frac{i \sqrt{5}}{2},-\frac{i \sqrt{5}}{2}, \sqrt{2},-\sqrt{2}\right\} \)

Write the expression as a single logarithm. \( 6 \log _{c} x+7 \log _{c} y-\frac{1}{3} \log _{c} z \) A. \( 6 \log _{c} x+7 \log _{c} y-\frac{1}{3} \log _{c} z=\log _{c} \frac{y^{7} z^{1 / 3}}{x^{6}} \) B. \( 6 \log _{c} x+7 \log _{c} y-\frac{1}{3} \log _{c} z=\log _{c} \frac{x^{6} y^{7}}{z^{3}} \) O. \( 6 \log _{c} x+7 \log _{c} y-\frac{1}{3} \log _{c} z=\log _{c} \frac{x^{6} y^{7}}{z^{1 / 3}} \) O. \( 6 \log _{c} x+7 \log _{c} y-\frac{1}{3} \log _{c} z=\log _{c} \frac{x^{6} z^{1 / 3}}{y^{7}} \)

dation \( \log _{3}(2 x-1)=3 \)

The following function is given. \( f(x)=3 x^{3}-7 x^{2}-75 x+175 \) a. List all rational zeros that are possible according to the Rational Zero Theorem. Choose the correct answer below.

Watch the video that describes performing vector operations. Click here to watch the video. Given vectors \( \mathbf{u} \) and \( \mathbf{v} \), find \( \mathbf{( a )} 9 \mathbf{u}=\langle 9,9\rangle, \mathbf{v}=\langle 6,0\rangle \) (b) \( 9 \mathbf{u}+6 \mathbf{v} \) (c) \( \mathbf{v}-6 \mathbf{u} \). \( \begin{array}{ll}\text { (a) } 9 \mathbf{u}=\langle 81,81\rangle \\ \text { (b) } 9 \mathbf{u}+6 \mathbf{v}=\langle\square, \square\rangle\end{array} \)