In this exercise, you will need to use a graphing utility to confirm your result.

$$f(x)=\sin x-\sqrt{3} \cos x$$

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

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

In this exercise, you will need to use a graphing utility to confirm your results.

$$f(x)=2 x+\frac{1}{x}$$

Choose two points in the coordinate plane. Use the slope formula to find the slope of the line that passes through the two points. Then find the slope using the formula $\frac{y_{1}-y_{2}}{x_{1}-x_{2}}$. Explain why your results are the same.

$$^ \longleftrightarrow_ { V W }$$

has a slope of 5. What is the slope of a line parallel to

$$^\longleftrightarrow_ { V W } ?$$

$$A. -5$$

$$B. - \frac { 1 } { 5 }$$

$$C. \frac { 1 } { 5 }$$

$$D. 5$$

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

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.

Christine et toi, vous / se reposer

Answer the following questions using the imparfait.

Est-ce que vous aveiz des animaux?

For the function, write down: a. the equation of the axis of symmetry b. the coordinates of the points at which the curve intersects the x-axis c. the coordinates of the vertex. y = x(x - 4)

Determine whether the statement is true or false. Justify your answer. In the ordered triple $(x,y,z)$ that represents point $P$, $x$ is the directed distance from the $xy$-plane to $P$.

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 $C_3H_8$?

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?

find a formula for the slope of the graph of f at the point (x, f(x)). Then use it to find the slope at the two given points. f(x) = 1/x+4, (a) (0, 1/4) (b) (-2, 1/2)

Find the partial fraction decomposition for each rational expression.

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