Identify:

a) Hohokams,

b) Anasazi,

c) Mound Builders,

d) Inuits,

e) Iroquois League.

How did the formation of the Delian League give proof to the saying that strength lies in unity?

In a region in free space, electric flux density is found to be

$$\mathbf{D}=\left\{\begin{array}{ll} {\rho_{0}(z+2 d) \mathbf{a}_{z} \mathbf{C} / \mathbf{m}^{2}} & {(-2 d \leq z \leq 0)} \\ {-\rho_{0}(z-2 d) \mathbf{a}_{z} \mathbf{C} / \mathbf{m}^{2}} & {(0 \leq z \leq 2 d)} \end{array}\right.$$

Everywhere else, D = 0. (a) Using $\nabla \cdot \mathbf{D}=\rho_{v},$ find the volume charge density as a function of position everywhere. (b) Determine the electric flux that passes through the surface defined by z = 0, $-a \leq x \leq a,-b \leq y \leq b.$ (c) Determine the total charge contained within the region $-a \leq x \leq a, -b \leq y \leq b,-d \leq z \leq d.$ (d) Determine the total charge contained within the region $-a \leq x \leq a,-b \leq y \leq b, 0 \leq z \leq 2 d.$

Define a flux integral and explain how it is evaluated.

check whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. The equation $x-y-z=-6$ is satisfied by $(2,-3,5)$.

Why does the sun feel warmer during summer and colder during winter in the northern hemisphere?

What is the energy of a photon that has a wavelength of $\ce{13.2 nm}$?

How did the Hohokams farm the desert southwest?

The following reaction occurs when a burner on a gas stove is lit:

$$\mathrm{CH}_4(\mathrm{~g})+2 \mathrm{O}_2(\mathrm{~g})=\mathrm{CO}_2(\mathrm{~g})+2 \mathrm{H}_2 \mathrm{O}(\mathrm{g})$$

Is an equilibrium among $\mathrm{CH}_4, \mathrm{O}_2, \mathrm{CO}_2$, and $\mathrm{H}_2 \mathrm{O}$ established under these conditions? Explain your answer.

You are the registered nurse case manager in an outpatient mental health clinic. S.T. is here today for her outpatient mental health appointment. She was diagnosed with bipolar disorder type $\| 2$ years ago and has been stable for the past year. Her last episode was one of mania that required hospitalization. S.T. is 29 years old, married, with two children aged 2 and 4. She reports that her mood is better than it has been in a long time and she has lots of energy. When asked whether she thinks this is a recurrence of mania, she says no, she thinks that things are just finally getting better.

Lithium (Eskalith) is a mood stabilizer commonly used to treat bipolar disorders. S.T. has been taking lithium for a year. When S.T. started her initial lithium dose, she would have been cautioned to report side effects. Which are the common side effects of lithium? Select all that apply.

a. Thirst b. Nausea c. Tremor d. Dizziness e. Constipation

Choose the more stable alkene in each of the following pairs. Explain your reasoning. (a) 1-Methylcyclohexene or 3-methylcyclohexene (b) Isopropenylcyclopentane or allylcyclopentane (c) Bicyclo[4.2.0]oct-7-ene or Bicyclo[4.2.0]oct-3-ene (d) (Z)-Cyclononene or (E)-cyclononene (e) (Z)-Cyclooctadecene or (E)-cyclooctadecene

Use the formula for the sum of an infinite geometric series to solve this exercise.

How much additional spending will be generated by a $\$ 10$ billion tax rebate if $60 \%$ of all income is spent?

A radioactive substance ${R_{1}}$ having decay rate $k_{1}$ disintegrates into a second radioactive substance ${R_{2}}$ having decay rate ${k_{2} \neq k_{1}}$. Substance ${R_{2}}$ disintegrates into ${R_{3}}$, which is stable. If ${m_{i}(t)}$ represents the mass of substance ${R_{i}}$ at time ${t}$, ${i = 1, 2, 3}$, the applicable equations are

$$\begin{gather*} m'_{1} = −k_{1} m_{1} m'_{2} = k_{1} m_{1} − k_{2} m_{2} m'_{3} = k_{2} m_{2}. \end{gather*}$$

Use the Laplace transform to solve this system under the conditions

$$\begin{gather*} m_{1}(0) = m_{0}, m_{2}(0) = 0, m_{3}(0) = 0. \end{gather*}$$

If $10.0\mathrm{~g}$ of sodium peroxide $\left(\mathrm{Na}_2 \mathrm{O}_2\right)$ react with water to produce sodium hydroxide and oxygen, how many liters of oxygen will be produced at $20 .{ }^{\circ} \mathrm{C}$ and $750 .\mathrm{torr}$?

$$2 \mathrm{~Na}_2 \mathrm{O}_2(s)+2 \mathrm{~H}_2 \mathrm{O}(l) \longrightarrow 4 \mathrm{~NaOH}(aq)+\mathrm{O}_2(g)$$