Solve and check.

$$3 x=12$$

A tidal bore may occur when the ocean tide enters an estuary against an oncoming river discharge, such as on the Severn River in England. Suppose that the tidal bore is 10 ft deep and propagates at 13 mi/h upstream into a river that is 7 ft deep. Estimate the river current in kn.

Why do social psychologists focus their attention mainly on individuals?

Solve and check. 26 = n - |-4|

In this exercise, the function $s(t)$ describes the motion of a particle moving along a line. For each function, identify the time interval(s) when the particle is moving in a positive direction.

$$s(t)=t^2-7 t+10$$

Based on the descriptions below, decide what each person does for a living. Modelo: A Felicia le gustan las animales. Ella es veterinaria. Nora envía cartas y paquetes todo el día. Ella es ____.

Plot the tangent line together with the curve over the given interval.

$\mathbf{r}(t)=(\sin t-t \cos t) \mathbf{i}+(\cos t+t \sin t) \mathbf{j}+t^2 \mathbf{k}$, $0 \leq t \leq 6 \pi, \quad t_0=3 \pi / 2$

A metal plate has the shape of the region $x^{2}+y^{2} \leq 1$. The plate is heated so that the temperature at any point (x, y) on it is indicated by $T(x, y)=2 x^{2}+y^{2}-y+3$. Find the hottest and coldest points on the plate and the temperature at each of these points. (Hint: Parametrize the boundary of the plate in order to find any critical points there.)

Why do cooks need to pay particular attention to the ways that foods are prepared?

Find the interval of convergence of the power series. (Be sure to include a check for convergence at the endpoints of the interval.) \

$$\sum_{n=1}^{\infty} \dfrac{(-1)^n x^n}{n}$$

Choose the correct phrase in parentheses to rewrite each sentence, based on the verb.

1. (Estoy seguro, No estoy seguro) de que a Mónica le gusten los perros.
2. (Es verdad, No es verdad) que Ramón duerme muchas horas todos los días.
3. Rita y Rosa (niegan, no niegan) que gaste mucho cuando voy de compras.
4. (No cabe duda de, Dudas) que el aire que respiramos esta contaminado.
5. (No es cierto, Es obvio) que a Martín y a Viviana les encanta viajar.
6. (Es probable, No hay duda de) que tengamos que reciclar todos los envases.

Solve and check. 21 + a = 33

Lady lgraine's beauty is brought to the attention of King Uther. (which many people admire)

Let X and Y have the joint density $f(x, y)=\frac{6}{7}(x+y)^{2}, \quad 0 \leq x \leq 1, \quad 0 \leq y \leq 1$ a. By integrating over the appropriate regions, find (i) $P(X>Y)$, (ii) $P(X+Y \leq 1)$, (iii) $P\left(X \leq \frac{1}{2}\right)$. b. Find the marginal densities of X and Y. c. Find the two conditional densities.