Sketch the solid described by the given inequalities. $\rho \leqslant 1, \ 0 \leqslant \phi \leqslant \pi / 6, \ 0 \leqslant \theta \leqslant \pi$

Escribe una frase original con cada una de las expresiones. 1. la viña 2. el pan rallado y el huevo batido 3. rebozar 4. elaborar 5. rellenar 6. los comensales

Da otra palabra o expresión que significa la misma cosa. 1. ponerse de pie 2. portarse 3. besar 4. dar un abrazo 5. enojarse

Write five things that you hope will or will not happen. Introduce each sentence with ¡Ojalá!

Indica como se expresan las siguientes ideas en el anuncio. 1. compañía de servicios financieros 2. señores y señoras 3. hay que saber el inglés 4. título universitario 5. es necesario tener carro 6. hay que saber comportarse bien con otros

Combine items from the three columns to say at what time different people come to school on a typical day.

$$\begin{matrix} \text{nosotros } & \quad & \text{a las 6:45}\\ \text{Uds.} & \quad & \text{a las 7:00}\\ \text{mis amigos} & \quad & \text{a las 7:15}\\ \text{los profesores} & \text{venir} & \text{a las 7:30}\\ \text{tú} & \quad & \text{a las 7:45}\\ \text{yo} & \quad & \text{a las 8:00}\\ \text{el profesor/la profesora de español} & \quad & \text{a las 8:15}\\ \end{matrix}$$

Find the derivative of the following function. y = x cos x sin x

Calculate the first eight terms of the sequence of partial sums correct to four decimal places. Does it appear that the series is convergent or divergent?

$$\sum_{n=1}^{\infty} \frac{1}{\sqrt[3]{n}}$$

Tomás and David are exact opposites. Read the descriptions of Tomás and then write statements about David.

$$\begin{matrix} \text{Tomás es inteligente.} & \text{\_\_\_\_\_\_\_\_\_\_\_\_}\\ \end{matrix}$$

Plot the point whose polar coordinates are given. Then find two other pairs of polar coordinates of this point, one with r > 0 and one with r < 0. (2, 5$\pi$/6)

Solve the differential equation.

$$\frac{d y}{d x}=x \sqrt{y}$$

Describe how the graph of f varies as c varies. Graph several members of the family to illustrate the trends that you discover. In particular, you should investigate how maximum and minimum points and inflection points move when c changes. You should also identify any transitional values of c at which the basic shape of the curve changes.

$$f(x)=x^{2}+6 x+c / x \quad(\text { trident of Newton })$$

The state of Hawaii is located approximately 2,400 miles from the California coast and 3,850 miles from Japan. Write the prime factorization of each distance.

Evaluate the following integral. $\int_{1}^{e^{2}} \frac{\ln ^{2}\left(x^{2}\right)}{x} d x$