4. Evaluate the expression \( \frac{x+2 x+3 x+4 x+5 x}{x} \) for each \( x \) value given. \( \begin{array}{llll}\text { a. } 1 & \text { b. } 2 & \text { c. } 3 & \text { d. }-3 \\ \text { e. }-11 & \text { f. } \frac{1}{2} & \text { g. } 197 & \end{array} \)

Use Newton's method to find the two real solutions of the equation \( x^{4}-3 x^{3}-3 x^{2}-x+2=0 \). Compute successive approximations to find the solutions to five decimal places. \( x=\square \) (Use a comma to separate answers as needed. Type an integer or decimal rounded to five decimal places as needed.)

Find the vertex, focus, and directrix of the following parabola. Graph the equation. Verify your graph using a graphing utility. \( (y+4)^{2}=4(x-1) \)

2. Find each product. \( \begin{array}{l}\text { a. } \frac{2}{5} \cdot(-10) \\ \text { b. }-8 \cdot\left(\frac{-3}{2}\right) \\ \text { c. } \frac{10}{6} \cdot 0.6 \\ \text { d. }\left(\frac{-100}{37}\right) \cdot(-0.37)\end{array} \)

On Planet \( X \), a rock is thrown upward with an initial velocity of \( 16 \mathrm{~m} / \mathrm{s} \) from a plateau 26 meters high. Assume the acceleration due to gravity on Planet X is \( 6.6 \mathrm{~m} / \mathrm{s}^{2} \) (downward toward the planet.) Complete parts a. and b . a. Find the velocity of the rock 5 seconds into its flight. Use a positive sign for upward velocity and a negative sign for downward velocity. \( v(5)=\square \)

Simplify the expression. \[ (-5)^{2}+4^{3} \]