Lee lo que escribió Carmen sobre su equipo de fútbol. Completa el párrafo con la forma correcta del verbo apropiado en el presente. Después de la escuela yo (1. preferir / dormir) ir al club para jugar al fútbol. Mis compañeras y yo (2. recordar / jugar) bastante bien pero nuestra entrenadora (3. poder / pensar) que el equipo rival (4. empezar / jugar) mejor. A veces nosotras (5. perder / servir) un partido, pero cuando nuestro equipo (6. poder / comenzar) meter un gol es fabuloso.

The angular displacement $\theta$ (in radians) for a simple pendulum is given by $\theta=0.175 \sin \pi t$. a. Determine the period of the pendulum. b. How many swings are completed in I sec? c. To the nearest degree, what is the maximum displacement of the pendulum? d. The length $L$ of a pendulum is related to the period $T$ by the equation $T=2 \pi \sqrt{\frac{L}{g}}$, where $g$ is the acceleration due to gravity. Find the length of the pendulum to the nearest meter $\left(g=9.8 \mathrm{~m} / \mathrm{sec}^2\right)$.

Which of the following explains how an assassination in Austria-Hungary triggered World War I?

A log 10 m long is cut at 1-meter intervals and its cross-sectional areas A (at a distance x from the end of the log) are listed in the table. Use the Midpoint Rule with n = 5 to estimate the volume of the log.

$$\begin{matrix} \text{x (m)} & A (m^2) & \text{x(m)} & A(m^2)\\ \text{0} & \text{0.68} & \text{6} & \text{0.53}\\ \text{1} & \text{0.65} & \text{7} & \text{0.55}\\ \text{2} & \text{0.64} & \text{8} & \text{0.52}\\ \text{3} & \text{0.61} & \text{9} & \text{0.50}\\ \text{4} & \text{0.58} & \text{10} & \text{0.48}\\ \text{5} & \text{0.59}\\ \end{matrix}$$

The solar constant $S$ is the amount of energy per unit area that reaches Earth's atmosphere from the sun. It is equal to $1367$ watts per square meter but varies slightly throughout the seasons. This fluctuation $\Delta S$ in $S$ can be calculated using the formula

$$\Delta S=.034 S \sin \left[\frac{2 \pi(82.5-N)}{365.25}\right] .$$

In this formula, $N$ is the day number covering a four-year period, where $N=1$ corresponds to January $1$ of a leap year and $N=1461$ corresponds to December $31$ of the fourth year.

Calculate $\Delta S$ for $N=80$, which is the spring equinox in the first year.

Examine the painting of John Wesley on page 552. Explain why the painting shows Wesley preaching outdoors.

The ability of an object to absorb energy is related to a factor called the emissivity e of the object. The emissivity can be calculated by using the formula

$$e = \frac { W \sec \theta } { A S }$$

where W is the rate at which a person's skin absorbs energy from the Sun, S is the energy from the Sun in watts per square meter, A is the surface area exposed to the Sun, and

$$\theta$$

is the angle between the Sun's rays and a line perpendicular to the body. Find W if

$$e = 0.80 , \theta = 40 ^ { \circ } , A = 0.75 \mathrm { m } ^ { 2 } , \text { and } S = 1000 \text { W/m } ^ { 2 }$$

Round to the nearest hundredth.

Can mudflows be triggered when a volcano is not erupting? Explain.

How did Roman sculpture and painting differ in style from Greek sculpture and painting?

A. planting sweeping, and painting B. planting sweeping and painting C. planting, sweeping, and, painting D. Correct as is

Actividades de la semana ESCRIbIR Haz planes con otro(a) estudiante por texto Usa los verbos del recuadro. Modelo A - ¿Qué quieres hacer después de la escuela? ¿Vamos al cine? B - No puedo. Tengo que estudiar.

In 1987 Carl Lewis set a new world’s record of 9.93 seconds for the 100-meter run. The distance that he ran in the first x seconds was $11.274\left[x-1.06\left(1-e^{-x / 1.06}\right)\right]$ meters for $0 \leq x \leq 9.93$. Enter this function as $y_1$, and define $y_2$ as its derivative (using NDERIV), so that $y_2$ gives his velocity after x seconds. Graph them on the window [0, 9.93] by [0, 100]. Define $y_3$ as the derivative of $y_2$ (using NDERIV) so that $y_3$ gives his acceleration after x seconds, and graph $y_2$ and $y_3$ on the window [0, 9.93] by [0, 20]. Evaluate both $y_2$ and $y_3$ at x = 0.1 and also at x = 9.93 (using CALCULATE). Interpret your answers.

The ability of an object to absorb energy is related to a factor called the emissivity e of the object. The emissivity can be calculated by using the formula

$$e = \frac { W \sec \theta } { AS }$$

where W is the rate at which a person’s skin absorbs energy from the Sun, S is the energy from the Sun in watts per square meter, A is the surface area exposed to the Sun, and

$$\theta$$

is the angle between the Sun's rays and a line perpendicular to the body. Solve the equation for W, Write your answer using only

$$\sin \theta \text { or } \cos \theta$$

In a course in differential equations or physics, a more specific model for a mass moving in damped harmonic motion is found as $d=a e^{-b /(2 m)} \cos \left(t \sqrt{\omega^2-\left(\frac{b}{2 m}\right)^2}\right)$, where $b$ is a damping constant unique to the physical system, $m$ is the mass of the object, and $|a|$ is the displacement at time $t=0$. The value $\frac{2 \pi}{\omega}$ is the related period under simple harmonic motion. Use this model for the following exercise.

a. Write a model for damped harmonic motion for a mass of 5kg oscillating on a spring with initial displacement 0.8m, period of 6sec, and damping constant b=0.3 $\frac{\mathrm{N} \cdot s}{\mathrm{~m}}$ (Newton-second/meter) b. Graph the model from part (a) on the window [0,10,1] by [-1,1,0.1]