In each of the following sentences, underline the subordinate clause. Then, tell how the clause functions in the sentence by writing above the clause ADJ for adjective clause, ADV for adverb clause, or N for noun clause.

Example 1. I usually make several New Year’s resolutions, $\overset{\textit{\color{#c34632}{ADJ}}}{{\underline{\text{which I end up breaking}}}}$.

I now pretend that every project is due at least two weeks in advance.

Completely factor this binomial. The binomial is prime if, say so, Use the answers from earlier Exercises

$$x^4-1$$

What would you need to know to be able to determine whether real GDP per capita increased from last year?

Windy city by the bay: Following are wind speeds (in mph) for $29$ randomly selected days in San Francisco.

$$\begin{array}{rrrrrrrr} \hline 13.4 & 23.1 & 27.2 & 31.8 & 36.3 & 40.3 & 14.1 & 24.6\\ 27.7 & 32.6 & 38.1 & 40.9 & 18.3 & 25.2 & 29.7 & 33.6\\ 38.7 & 44.2 & 20.8 & 26.8 & 30.1 & 34.5 & 40.2 & 46.8\\ 22.9 & 26.9 & 30.8 & 35.8 & 40.3\\ \hline \end{array}$$

$\textbf{a.}\hspace{10pt}$ Find the first and third quartiles of these data.

$\textbf{b.}\hspace{10pt}$ Find the median of these data.

$\textbf{c.}\hspace{10pt}$ Find the upper and lower outlier boundaries.

$\textbf{d.}\hspace{10pt}$ Are there any outliers? If so, list them.

$\textbf{e.}\hspace{10pt}$ Construct a boxplot for these data.

$\textbf{f.}\hspace{10pt}$ Describe the shape of this distribution.

$\textbf{g.}\hspace{10pt}$ What is the $40$th percentile?

$\textbf{h.}\hspace{10pt}$ What is the $10$th percentile?

$\textbf{i.}\hspace{10pt}$ One day, the wind speed was $30.1$ mph. What percentile is this?

Calculate $\frac{d y}{d x}$. You need not expand your answers. $y=\left(4 x^{2}+x\right)\left(x-x^{2}\right)$

convert the rectangular equation to polar form.

$$x^2 + y^2 = 48$$

In this exercise, find all solutions of the equation. Check your solutions in the original equation.

$$\sqrt{3 x}-12=0$$

convert the rectangular equation to polar form.

$$x^2 + y^2 = 81$$

Determine the divergence of the following vector fields and evaluate them at the specified points.

(a) ${A}=y z {a}_x+4 x y{a}_y+y {a}_z$ at (1,-2,3)

(b) ${B}=\rho z \sin \phi {a}_\rho+3 \rho z^2 \cos \phi{a}_\phi$ at $(5, \pi / 2$,1)

(c) ${C}=2 r \cos \theta \cos \phi {a}_r+r^{1 / 2} {a}_\phi$ at $(1, \pi / 6, \pi / 3)$

In this exercise, find all solutions of the equation. Check your solutions in the original equation.

$$7 \sqrt{x}-4=0$$

In celebration of getting to the top of Beacon Rock in southern Washington, Renata throws her hat up and off the top of Beacon Rock. The height of the hat x seconds after the throw (in meters) can be approximated by the function $y = - 5 x ^ { 2 } + 10 x + 260 .$ After how many seconds will the at its maximum height? What is this height?

A small laser emits light at power 5.00 mW and wavelength 633 nm. The laser beam is focused (narrowed) until its diameter matches the 1266 nm diameter of a sphere placed in its path. The sphere is perfectly absorbing and has density $5.00 \times 10^3$ kg/m$^3$. What is the magnitude of the corresponding force?

Complete and balance the molecular, ionic, and net ionic equations for the following reactions. (a) $\mathrm{HNO}_3+\mathrm{Cr}(\mathrm{OH})_3 \longrightarrow$ (b) $\mathrm{HClO}_4+\mathrm{NaOH} \longrightarrow$ (c) $\mathrm{Cu}(\mathrm{OH})_2+\mathrm{HC}_2 \mathrm{H}_3 \mathrm{O}_2 \longrightarrow$ (d) $\mathrm{ZnO}+\mathrm{H}_2 \mathrm{SO}_4 \longrightarrow$

If a volcano spews a 500-kg rock vertically upward a distance of 500 m, what was its velocity when it left the volcano?