How do Prince Prospero and his friends try to escape from the Red Death?

(a) Estimate the area under the graph of f(x) = 3sqrt(x) from x = 0 to x = 4 using four approximating rectangles and right endpoints. (Round your answers to four decimal places.)

(b) Repeat part (a) using left endpoints.

Use a special-product rule to factor the perfect-square trinomial.

$$9 b ^ { 4 } - 12 b ^ { 2 } c ^ { 2 } + 4 c ^ { 4 }$$

"The Masque of the Red Death" is an allegory, a literary work with both a literal and a symbolic meaning. What does the abbey's seventh chamber represent in an allegorical reading of the story?

In "The Masque of the Red Death", what mood does Poe create? How does the mood add to the suspense?

Why does Prince Prospero seal himself and his guests in the abbey?

Cheek the text to see what you learn about the thoughts and feelings of Jerry's mother. How would the story be different if she, rather than the omniscient narrator, were telling it?

Suppose that interarrival times to a single-server system are exponential, but when n customers are present, there is a probability $\frac{n}{n+1}$ that an arrival will balk and leave the system before entering service. Also assume exponential service times. a. Find the probability distribution of the number of people present in the steady state. b. Find the expected number of people present in the steady state.

Read the information in A Closer. Do you think Jerry's experience can be viewed as an initiation rite? What similarities and differences can you find in his experience and the coming-of-age rites in other cultures?

Write Explain how to check that $( 5 x + 6 )$ is the correct quotient of $\left( 15 x ^ { 2 } + 13 x - 6 \right) \div ( 3 x - 1 )$

Unlike Jerry's experience in "Through the Tunnel," the experiences described in these three articles _____. A. Follow a cultural tradition B. are dangerous and life threatening C. take place indoors, surrounded by people D. take place when the individual is alone

What unanswered questions do you have about this story?

What do you think is the main message, or theme, of this story? Consider: • what the swim through the tunnel means to Jerry • why Jerry no longer feels he has to go to the bay

Retell the main events of this story as Jerry might tell them to his best friend when he returns from vacation or to his own son later in life.