Even today, Arthur lives. For example, T. H. White's novel based on the Arthurian legends, The Once and Future King, became a bestseller and the basis of the long-running Broadway musical Camelot (1960). There are even computer games retelling Arthur's story. Why do you suppose the story of King Arthur has had lasting appeal?

During Arthur's time, England, like the rest of Europe, operated on a feudal system with three distinct social classes: the nobility, the commoners, and the clergy. What role does each class play in this story? Why would the tale have special appeal to the commoners?

Make a time line showing the main events that take place in this part of Arthur's story. Start with the death of King Uther, and end with Arthur's coronation.

Random shuffling of songs on Spotify. Spotify is a music streaming service that offers both free and subscription options. Users can create playlists and choose to use Spotify's random shuffling feature to play back the songs. When the shuffling feature was first introduced, many users complained that the algorithm was not working. For example, in a playlist consisting of 2 songs by The White Stripes, 2 by Adele, and 1 by Maroon Five, two possible random orderings of the songs are:

$A=$ Adele 1, Adele 2, White Stripes 1, White Stripes 2, Maroon Five) $B=$ {Adele 2, White Stripes 1, Maroon Five, White Stripes 2, Adele 1)

Given that Adele 1, Adele 2, and White Stripes 1 are the first three songs selected, what is the probability that White Stripes 2 is selected as the fourth song to play from the playlist?

Read the following passage from The Republic by Plato. Then answer the questions.

"And so we may venture to assert that anyone who can produce the best blend of the physical and intellectual sides of education and apply them to the training of character is producing harmony in a far more important sense than any mere musician."

What would your school day be like if it were based on the statement you chose in question $3$ above? Give specific examples.

Solve the indicated equations analytically.

If two musical tones of frequencies $220$ Hz and $223$ Hz are played together, beats will be heard. This can be represented by $y=\sin 440\pi t+\sin 446\pi t$. Graph this function and estimate $t$ (in s) when $y=0$ between beats for $0/15<t<1.15$

Muchos de los estudiantes en la escuela de Ricardo han alcanzado muchos logros (achievements). Él se siente muy orgullosos de ellos y los compara con personas muy famosas. Escribe una frase completa con la información a continuación.

Raúl-tener-talento musical - un concertista

When a guitar string is plucked, it is displaced from a fixed point in the middle of the string and vibrates back and forth, producing a musical tone. The exact tone depends on the frequency, or number of cycles per second, that the string vibrates. To produce an A, the frequency is 440 cycles per second, or 440 hertz (Hz). Find the period of this function.

A synthesizer is a keyboard instrument that can be made to sound like a flute, a trumpet, a piano-or any other musical instrument. Pressing a key sets the fundamental frequency of the note that is produced. Other settings that the player can adjust change the sound quality of the synthesizer without altering the fundamental frequency. How is this change accomplished? What is being adjusted?

Spruce is a type of wood that is widely used in making musical instruments (such as violins and guitars) because its Young's modulus is high and its density is low. If $Y=1.5 \times 10^{10} \mathrm{~Pa}$ and $\rho=420 \mathrm{~kg} / \mathrm{m}^3$, what is the speed of sound in spruce? How does that compare with the speed of sound in steel?

On the line provided, write two titles or names that belong in each category. Underline all words that should appear in italics, and add quotation marks where needed.

Example 1. musical works $\underline{\color{#c34632}\text{Beethoven’s {\underline{Ode to Joy}, Stravinsky’s {\underline {Rite of Sprin}}g}}}$

albums ___________________________________________

The fundamental frequency of the highest note on the piano is 4.186 kHz. Most musical instruments do not go that high; only a few singers can produce sounds with fundamental frequencies higher than around 1 kHz. Yet a good-quality stereo system must reproduce frequencies up to at least 16 to 18 kHz. Explain.

A drama club plans to sell 100 tickets to a school musical. An adult ticket costs $6, and a student ticket costs$4. Students who attend the school get a $1 discount. The club expects two thirds of the student tickets to be discounted. Write an equation that gives the total revenue r (in dollars) as a function of the number a of adult tickets sold.

On the line provided, write two titles or names that belong in each category. Underline all words that should appear in italics, and add quotation marks where needed.

Example 1. musical works $\underline{\color{#c34632}\text{Beethoven’s {\underline{Ode to Joy}, Stravinsky’s {\underline {Rite of Sprin}}g}}}$

songs ___________________________________________