What changes did Julius Caesar bring about as ruler of Rome?

Give a ballpark estimate of the number of seats in a typical major league ballpark.

What are all the solutions to the equation $x^3 = x$

When might both divergent and convergent thinking be used in problem solving?

Use a graph of the sequence to decide whether the sequence is convergent or divergent. If the sequence is convergent, guess the value of the limit from the graph and then prove your guess. \

$$\left\{\arctan \left(\dfrac{2 n}{2 n+1}\right)\right\}$$

Dites si la phrase est vraie ou fausse . Corrigez la phrase qui est fausse .

Nicolas pense que sa mere a peur des ours et des tigres

have at least three ties. All my ties are red except two. All my ties are blue except two. All my tie s are brown except two. How many ties do I have?

In this exercise, make the given changes in the indicated examples of this section, and then answer the given questions.

In the first line of Example $1$, change the $5$ to $-3$ and the $-19$ to $14$. What other changes must then be made in the first paragraph?

What are two major ways in which cultures change over time?

The estimated population of China at the end of $2010$ was $1.34 \times 10^9$ people. The land area of China is $3.705 \times 10^6$ square miles. Find the population density (number of people per square mile) for China at the end of $2010$. Round to the nearest whole.

Reflexive relation R on X: (x,x)$\in$R for all x$\in$X

How was China affected by the Cold War?

Determine whether the infinite geometric series is convergent or divergent. If it is convergent, find its sum.

$$\frac { 1 } { \sqrt { 2 } } + \frac { 1 } { 2 } + \frac { 1 } { 2 \sqrt { 2 } } + \frac { 1 } { 4 } + \cdots$$

One method of computing all of the prime numbers less than a certain fixed positive integer N is to list all of the numbers n such that 1<n<N. Begin by eliminating all of the multiples of 2. Next eliminate all of the multiples of 3. Now eliminate all of the multiples of 5. Notice that 4 has already been crossed out. Continue in this manner, noticing that we do not have to go all the way to N; it suffices to stop at $\sqrt{N}$. Using this method, compute all of the prime numbers less than N=250. We can also use this method to find all of the integers that are relatively prime to an integer N. Simply eliminate the prime factors of N and all of their multiples. Using this method, find all of the numbers that are relatively prime to N=120. Using the Sieve of Eratosthenes, write a program that will compute all of the primes less than an integer N.