How does culture influence Julia Alvarez's writing as a whole?

Novelist, poet, and essayist Julia Alvarez writes complex examinations of the multicultural Latin American experience by employing her Dominican heritage and melding it with her American nationality.

Although Alvarez was born in New York, she lived with her family in the Dominican Republic until the age of ten, fleeing the country with her family after her father became too closely involved with a political rebellion. Considering this early childhood experience, it's safe to say that the cultural influence on Alvarez's writing stems from her transnational background, her father's political involvement, and her experience as a woman embodying more than one cultural identity.

Through multiple genres of writing, Alvarez draws on her personal experience to examine issues of cultural identity (brought on by her experience being raised on the cusp of two starkly different countries: the U.S. and the Dominican Republic), the expectations placed on migrating Latinos to assimilate to American culture, and how these expectations affect Latin American women in particular.

Alvarez's writing also carries political undertones influenced by father's involvement in a political rebellion. Latin American politics and how they affect the greater majority of working-class Latinos serves as a central focus in her creative works. 

What nuclear process occurs that marks the official birth of the star?

Stars are formed from large clouds of gas and dust which collapse under gravity. When this happens, the core starts rotating and attains high temperatures. When the temperatures at the core become high enough, a nuclear process takes place in which lighter nuclei combine to form heavier nuclei. This is the process of nuclear fusion and typically, hydrogen atoms fuse together to form helium atoms. Once the nuclear fusion process starts, this collapsing mass of gases and dust starts generating energy which pushes outwards. The two forces--inward gravity of the core and outward motion of energy--balance each other. Over time the energy generated from the nuclear fusion becomes high enough to push the outer envelope of gases away and the star starts giving off light energy. 

The other form of nuclear reaction is nuclear fission, which we commonly use in nuclear reactors to produce electricity. In this process, heavier nuclei are broken into lighter nuclei.

Hope this helps. 

`int x/sqrt(x^2 + x + 1) dx` Evaluate the integral

`intx/sqrt(x^2+x+1)dx`

Let's rewrite the integrand by completing the square of the denominator,

`=intx/sqrt((x+1/2)^2+3/4)dx`

Now let's apply the integral substitution,

Let `u=x+1/2`

`x=u-1/2`

du=1dx

`=int(u-1/2)/sqrt(u^2+3/4)du`

`=int(2u-1)/sqrt(4u^2+3)du`

Now apply the sum rule,

`=int(2u)/sqrt(4u^2+3)du-int1/sqrt(4u^2+3)du`

`=2intu/sqrt(4u^2+3)du-int1/sqrt(4u^2+3)du`

Now let's evaluate the first integral by applying the integral substitution,

Let `v=4u^2+3`

`dv=8udu`

`intu/sqrt(4u^2+3)du=int1/(8sqrt(v))dv`

`=1/8intv^(-1/2)dv`

`=1/8(v^(-1/2+1))/(-1/2+1)`

`=1/8v^(1/2)/(1/2)`

`=2/8v^(1/2)`

`=1/4sqrt(v)`

substitute back `v=4u^2+3`

`=1/4sqrt(4u^2+3)`

Now let's evaluate the second integral `int1/sqrt(4u^2+3)du` using integral substitution,

For `sqrt(bx^2+a)` substitute `x=sqrt(a)/sqrt(b)tan(v)` ,

Let `u=sqrt(3)/2tan(v)`

`du=sqrt(3)/2sec^2(v)dv`

`int1/sqrt(4v^2+3)du=int(sqrt(3)/2sec^2(v))/sqrt(4(sqrt(3)/2tan(v))^2+3)dv`

`=int(sqrt(3)sec^2(v))/(2sqrt(3tan^2(v)+3))dv`

`=sqrt(3)/2int(sec^2(v))/sqrt(3tan^2(v)+3)dv`

`=sqrt(3)/2int(sec^2(v))/(sqrt(3)sqrt(tan^2+1))dv`

`=1/2int(sec^2(v))/sqrt(tan^2(v)+1)dv`

Now use the identity:`1+tan^2(x)=sec^2(x)`

`=1/2int(sec^2(v))/sqrt(sec^2(v))dv`

assuming sec(v)`>=0`

`=1/2intsec(v)dv`

Now using the common integral,

`intsec(v)dx=ln((sec(v)+tan(v))`

`=1/2(ln(sec(v)+tan(v))`

Substitute back `v=arctan((2u)/sqrt(3))`

`=1/2[ln{sec(arctan((2u)/sqrt(3)))+tan(arctan((2u)/sqrt(3))}]`

`=1/2[ln{sqrt(1+(4u^2)/3)+(2u)/sqrt(3)}]`

`int(2u-1)/sqrt(4u^2+3)du=2(1/4sqrt(4u^2+3))-1/2ln(sqrt(1+4u^2/3)+(2u)/sqrt(3))`

`=1/2sqrt(4u^2+3)-1/2ln(sqrt(1+(4u^2)/3)+(2u)/sqrt(3))`

Substitute back `u=x+1/2`

`=1/2sqrt(4(x+1/2)^2+3)-1/2ln(sqrt(1+(4(x+1/2)^2)/3)+(2(x+1/2))/sqrt(3))`

`=1/2sqrt(4(x^2+1/4+x)+3)-1/2ln(sqrt(1+4/3(x^2+1/4+x))+(2/sqrt(3))(2x+1)/2)`

`=1/2sqrt(4x^2+1+4x+3)-1/2ln(sqrt((3+4x^2+1+4x)/3)+(2x+1)/sqrt(3))`

`=1/2sqrt(4x^2+4x+4)-1/2ln(sqrt((4x^2+4x+4)/3)+(2x+1)/sqrt(3))`

`=1/2sqrt(4(x^2+x+1))-1/2ln((2/sqrt(3))sqrt(x^2+x+1)+(2x+1)/sqrt(3))`

`=sqrt(x^2+x+1)-1/2ln((2sqrt(x^2+x+1)+2x+1)/sqrt(3))`

add a constant C to the solution,

`=sqrt(x^2+x+1)-1/2ln((2sqrt(x^2+x+1)+2x+1)/sqrt(3))+C`

How does government protect the rights of the people?

There are several ways the government may protect the rights of the people. One way is by having a written constitution that clearly states what rights the people have. Once the rights are established in written form by the constitution, then the government must take steps, including passing laws, which protect the people’s rights. The court system must also be sure the laws that are passed are legal, based on the written constitution. If the laws aren’t legal, then the government must stop following those laws.

When there are attempts by other groups of people or by other countries to take away our rights, the government must take action, either political, economic, or military, to be sure our rights are followed. This could mean imposing economic sanctions on a country. It could mean ending diplomatic relations with a country. It could also mean going to war against a country or group of people that are attacking our rights.

The government should have a system where people can freely elect their leaders. If the people feel the government or its leaders aren’t protecting their rights, they can replace those people in an election. Without elections, it is easier for a government to violate the people’s rights.

There are several actions a government could take to protect the rights of the people they govern.

`(4, -4), y = -2x - 3` Find the distance between the point and the line.

The formula to determine the distance from a point (xo,yo) to a line Ax+By+C=0 is:

`d=|Ax_o + By_o + C|/sqrt(A^2+B^2)`

To apply, set one side of the given equation equal to zero.

`y=-2x-3`

`2x+y+3=0`

Then, plug-in the coefficients of x and y, as well as the constant to the formula.

`d=|2x_o +1y_o +3|/sqrt(2^2+1^2)`

`d=|2x_o + y_o +3|/sqrt5`

And, plug-in the given point (4,-4).

`d=|2(4)+(-4)+3|/sqrt5`

`d=7/sqrt5`

`d=7/sqrt5*sqrt5/sqrt5`

`d=(7sqrt5)/5`

Therefore, the point (4,-4) is `(7sqrt5)/5` units away from the line y=-2x-3.

How is maturity internalised in Jem and Scout in To Kill A Mockingbird?

To internalize is to adopt such things as the cultural values and morals of a group through learning and socializing (Random House Dictionary). Hence, as one matures, one undergoes a process of internalizing beliefs accepted by society. In Harper Lee's To Kill a Mockingbird, it can be said that both Jem and Scout internalize maturity by learning to be a gentleman and a lady, respectively.

Through observing his father, Jem grows to understand that to be a gentleman is to be able to show the utmost respect to all living beings at all times. One moment in which Jem learns this lesson is when he observes his father demonstrate his perfect marksmanship by shooting a rabid dog to protect his family and neighborhood. When Scout doesn't understand why Atticus kept his skills a secret, Jem understands it is because Atticus values life too much to be able to boast about his abilities to kill life in one shot, as we see when Jem says to his sister, "Naw, Scout, it's something you wouldn't understand ... Atticus is a gentleman, just like me!" (Ch. 11).

Likewise, Scout internalizes maturity through learning to appreciate being a lady by observing the ladies around her whom she admires. Scout strongly resists the idea of needing to behave like a lady at the start of the story. However, the more she socializes with ladies such as Miss Maudie, Calpurnia, and Aunt Alexandra, the more she begins to understand what it truly means to be a lady. One thing she learns is that, just like being a gentleman means treating others with respect, being a lady means the same thing. More specifically, ladies treat others with respect by maintaining humility, like Calpurnia, and being brave, like Miss Maudie and Aunt Alexandra. Scout finally makes the decision she can be a lady when she observes her aunt and Miss Maudie put on brave faces the day they learn of Tom Robinson's unfortunate and untimely death. Their brave faces allow them to continue to treat their guests with the utmost courtesy and respect. Scout notes her decision to be a lady in the following:

I carefully picked up the tray and watched myself walk to Mrs. Merriweather. With my best company manners, I asked her if she would have some. After all, if Aunty could be a lady at a time like this, so could I. (Ch. 24)

Hence, as we can see, both Scout and Jem internalize maturity as they learn from observing others around them how to be respectful and even courageous, two characteristics Maycomb's society highly values.

What are some quotes you could use to argue Romeo and Juliet are to blame for their own deaths?

After Tybalt slays Romeo's friend, Mercutio, Romeo becomes enraged, saying,

My reputation [is] stained

With Tybalt's slander [...]

O sweet Juliet,

Thy beauty hath made me effeminate

And in my temper softened valor's steel (III.1.116-120).  

Romeo blames Juliet's love for making him weak and soft, like a woman. Rather than exercise forethought or try to remain calm as he did previously, Romeo acts impulsively, killing Tybalt, a crime for which he knows the punishment is death. He is lucky to be banished instead.

Juliet is likewise willing to die if she cannot work out a way to be with Romeo after he is exiled and her parents promise the County Paris he can marry her. When the Friar wonders if "[She has] the strength of will to slay [her]self" and drink a potion that will make her seem as one dead, she exclaims she would rather leap from a tower or be confined with serpents or bears than marry Paris (IV.1.73). Like Romeo, Juliet is willing to take her own life. Although Juliet worries she might never wake up before she drinks the potion, she drinks it anyway.  

Friar Lawrence even attempts to warn Romeo about his own and Juliet's impulsive natures, saying, "These violent delights have violent ends / And in their triumph die, like fire and powder, / Which, as they kiss, consume" (II.6.9-11). Therefore, he advises them to "love moderately" (II.6.14). Of course, Romeo and Juliet do not take the Friar's advice. Everything they do is immoderate; they are intense and impulsive in the extreme. In this way, one might blame them for their own deaths.