If the triple product $(\mathbf{v} \times \mathbf{j}) \cdot \mathbf{k}$ is zero, what can you say about the vector $\mathbf{v}$ ?

determine whether each ordered triple is a solution of the system of equations. { -4x - y - 8z = -6, y + z = 0, 4x - 7y = 6. (-2, -2, 2)

Solve the given formula for the variable shown after comma. State the restrictions, if any, for the formula obtained to be meaningful.

$$d=\frac{m}{v} ; v$$

For this exercise, you will need to find dy/dx. Write the correct answer.

$y=\sqrt[3]{2 x}$

The surface area of an unclothed person is 1.50 m$^2$, and his skin temperature is 33.0$^ { \circ } \mathrm { C }$. The person is located in a dark room with a temperature of 20.0$^ { \circ } \mathrm { C }$, and the emissivity of the skin is e = 0.95. (a) At what rate is energy radiated by the body? (b) What is the significance of the sign of your answer?

Un voyage. Qu'est-ce que ces personnes ont fait dans le sud de la France? Faites des phrases completes au passé composé.

MODELE: nous / choisir / huitres

Nous avons choisi des huitres.

Thibaut/perdre / porte-monnaie (wallet)

Find the partial fraction decomposition for each rational expression.

$$\frac{x+1}{x^2(1-x)}$$

Graph the solution set.

$$\left(x^2+1\right)\left(x^2-3 x+2\right)>0$$

Answer the following questions using the imparfait.

Est-ce que vous aveiz des animaux?

Avant la soirée. Hier, il y avait une fete a la Maison des Jeunes (youth center). Décrivez les activités de ces jeunes gens. Faites des phrases completes au passé composé.

je / se promener / dans le jardin

In this exercise, you will need to differentiate the explicit functions.

$$x^2+y^2-4 x+6 y+9=0$$

Propane gas, $C_3H_8$, undergoes combustion with oxygen gas to produce carbon dioxide and water gases. Propane has a density of $2.02$ g/L at room temperature. How many grams of $H_2O$ can be produced from the reac- tion of $100$. g of $C_3H_8$?

Use the slope formula to find the slope of the line that passes through each pair of points. Then plot the points and sketch the line that passes through them. Does the slope you found using the formula match the direction of the line you sketched? $(-42.25, 5.2), (3.25, 3)$

Show that in terms of mole fractions of gases and total gas pressure the equilibrium constant expression for

$$\mathrm{N}_2(\mathrm{~g})+3 \mathrm{H}_2(\mathrm{~g}) \rightleftharpoons 2 \mathrm{NH}_3(\mathrm{~g})$$

is

$$K_p=\frac{\left(x_{\mathrm{NH}_3}\right)^2}{\left(x_{\mathrm{N}_2}\right)\left(x_{\mathrm{H}_2}\right)^2} \times \frac{1}{\left(P_{\text {tot }}\right)^2}$$