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

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 $-a \leq x \leq a,-b \leq y \leq b, 0 \leq z \leq 2 d.$

The following list of matrices and their respective characteristic polynomials is referred to in Exercise.

$$A=\left[\begin{array}{rr} 2 & -1 \\ -1 & 2 \end{array}\right]$$

, $p(t) = (t − 3)(t − 1),$

$$B=\left[\begin{array}{cc} 1 & -1 \\ 1 & 3 \end{array}\right]$$

, $p(t)=(t-2)^{2}$,

$$C=\left[\begin{array}{rrr} -6 & -1 & 2 \\ 3 & 2 & 0 \\ -14 & -2 & 5 \end{array}\right]$$

, $p(t)=-(t-1)^{2}(t+1)$,

$$D=\left[\begin{array}{rrr} -7 & 4 & -3 \\ 8 & -3 & 3 \\ 32 & -16 & 13 \end{array}\right]$$

, $p(t)=-(t-1)^{3}$,

$$E=\left[\begin{array}{llll} 6 & 4 & 4 & 1 \\ 4 & 6 & 1 & 4 \\ 4 & 1 & 6 & 4 \\ 1 & 4 & 4 & 6 \end{array}\right]$$

, $p(t) =(t + 1)(t + 5)^2(t − 15),$,

$$F=\left[\begin{array}{rrr} 1 & -1 & -1 & -1 \\ -1 & 1 & -1 & -1 \\ -1 & -1 & 1 & -1 \\ -1 & -1 & -1 & 1 \end{array}\right]$$

, $p(t)=(t+2)(t-2)^{3}$. Find a basis for the eigenspace $E_{\lambda}$ for the given matrix and the value of $\lambda$. Determine the algebraic and geometric multiplicities of $\lambda$. $E, \lambda=-1$

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.

$(a)$ Find the amount of heat that must be extracted from $1.5 \mathrm{~kg}$ of steam at $110^{\circ} \mathrm{C}$ to convert it to ice at $0.0^{\circ} \mathrm{C}$. $(b)$ What speed would this $1.5 \mathrm{~kg}$ block of ice have if its translational kinetic energy were equal to the thermal energy calculated in part $(a)$?

Consider the single-input, single-output system is described by

$$\begin{aligned} . \mathbf{x}(t) & =\mathbf{A} \mathbf{x}(t)+\mathbf{B} u(t) \\ y(t) & =\mathbf{C x}(t) \end{aligned}$$

where

$$\mathbf{A}=\left[\begin{array}{cc} 0 & 1 \\ 3-K & -2-K \end{array}\right], \mathbf{B}=\left[\begin{array}{l} 0 \\ 1 \end{array}\right], \mathbf{C}=\left[\begin{array}{ll} 1 & -1 \end{array}\right]$$

Compute the characteristic polynomial and plot the root locus as $0 \leq K<\infty$. For what values of $K$ is the system stable?

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 $750 .\mathrm{torr}$?

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

Match the definitions with the words.

a. un article b. une pi$\`e$ce c. un po$\`e$me d. un roman e. un conte f. un journal g. un magazine h. une bande dessin$\'e$e

In order to cool 1 ton of water at 20$^\circ{}$C in an insulated tank, a person pours 130 kg of ice at -5$^\circ{}$C into the water. Determine the final equilibrium temperature in the tank. The melting temperature and the heat of fusion of ice at atmospheric pressure are 0$^\circ{}$C and 333.7 kJ/kg, respectively. Answer: 8.2$^\circ{}$C

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

Which of the following reaction mixtures would produce the greatest amount of product, assuming all went to completion? Justify your choice.
Each involves the reaction symbolized by the equation

$$2 \mathrm{H}_2+\mathrm{O}_2 \rightarrow 2 \mathrm{H}_2 \mathrm{O}$$

a. 2 moles of $\mathrm{H}_2$ and 2 moles of $\mathrm{O}_2$.
b. 2 moles of $\mathrm{H}_2$ and 3 moles of $\mathrm{O}_2$.
c. 2 moles of $\mathrm{H}_2$ and 1 mole of $\mathrm{O}_2$.
d. 3 moles of $\mathrm{H}_2$ and 1 mole of $\mathrm{O}_2$.
e. Each would produce the same amount of product.

Determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. The equation y=mx+b shows that no line can have a y-intercept that is numerically equal to its slope.

Identify:

a) Hohokams,

b) Anasazi,

c) Mound Builders,

d) Inuits,

e) Iroquois League.

Vous préparez le diner. Demandez a un(e) camarade s'il y a les choses suivantes dans le réfrigérateur.

1. le jus d'orange?

2. le pain?

3. la glace?

4. le beurre?

5. le jambon?

6. l'eau minérale?

7. le jus de pomme?

8. le fromage?

9. la mayonnaise?

10. le ketchup?