Which naturally made metal is the strongest and heaviest?

It depends a little bit on what you mean by "heaviest" (atomic weight or weight of natural ore) and "strongest" (compression or tensile strength), but the usual answer to this question is tungsten, which has the heaviest weight of natural ore and the strongest tensile strength of any naturally-occurring metal. Its compression strength is also the strongest. Tungsten is also notable for its extremely high melting point, which is why it's useful for incandescent lightbulbs.

If you meant atomic weight, the answer is plutonium, which is the heaviest element that occurs in nature in any appreciable quantities. But it's not really especially strong.

Tungsten was actually named for its high ore weight; tung sten means "heavy stone". Because it's so heavy and difficult to melt, tungsten was not widely used until the 19th century.

What makes Margot different from the other children? Why does this cause the other children dislike Margot?

Margot is different from the other children because of her looks, her personality, and her experiences. Margot is "frail," and she is fair-haired and white-skinned, so much so that she looks colorless, like a washed-out photograph. Margot is quiet and withdrawn--she doesn't have the boisterous personality that many of the other children have. Her voice is soft, and often she doesn't speak at all. She keeps her distance from the other children rather than joining in their antics. In fact, she is a very sensitive girl who seems to have some deep-seated emotional issues. When she screamed when the water touched her in the showers, that confirmed to the others how odd she was. Because she can remember living on Earth where the sun shone often, she finds the constant rain on Venus oppressive, and she seems to be depressed. That's why her parents plan to send her back to Earth soon. She doesn't fit in on Venus.

Despite all those differences, the one thing that seems to set the children against Margot more than any other is that she has experiences they don't share. All the other children have a homogeneous background: They have been raised on Venus and know nothing of life outside the underground complex they live in. That Margot remembers seeing the Sun and that she knows about life on Earth first-hand makes the children jealous of her, even though Margot doesn't act like a know-it-all. Beyond that, the children know that she will have a chance to go back to Earth soon, a chance that evades the others. Her past experiences and her future plans set her apart from the others.

Why the other children dislike Margot is a strong theme in the story. Bradbury creates a scenario that allows modern Earth-bound readers to examine their prejudices. Margot represents the "other," and human beings instinctively despise those outside their own tribe. Perhaps her rich and varied experiences caused them to wish they could escape their underground home, so they became jealous. The fact that she wouldn't join their games might feel like an insult to them, so they lashed back to give her pain. But part of their dislike stems from a simple lust for power: Margot is weak and alone; they are strong and have numbers on their side. Such a condition spurs bullying, and that's what happens in the story.

Although the story is overtly about children on a different planet in the future, it makes all readers, children and adults, think about how they treat others and whether they allow prejudices to mar their behavior.

`ylnx - xy' = 0` Find the general solution of the differential equation

For the given problem: `yln(x)-xy'=0` , we can evaluate this by applying variable separable differential equation in which we express it in a form of `f(y) dy = f(x)dx` .

to able to apply direct integration:  `int f(y) dy = int f(x)dx` .

Rearranging the problem:

`yln(x)-xy'=0`

`yln(x)=xy'`  or `xy' = y ln(x)`

`(xy')/(yx) = (y ln(x))/(yx)`

`(y') /y = ln(x)/x`

Applying direct integration, we denote `y' = (dy)/(dx)` :

`int (y') /y = int ln(x)/x`

`int 1 /y (dy)/(dx) = int ln(x)/x`

`int 1 /y (dy)= int ln(x)/x dx`

For the left side, we apply the basic integration formula for logarithm: `int (du)/u = ln|u|+C`

`int 1 /y (dy) = ln|y|`

For the right side, we apply u-substitution by letting `u= ln(x)` then `du = 1/x dx` .

`int ln(x)/x dx=int udu`

 Applying the Power Rule for integration : `int x^n= x^(n+1)/(n+1)+C` .

`int udu=u^(1+1)/(1+1)+C`

          `=u^2/2+C`

Plug-in `u = ln(x)` in `u^2/2+C` , we get:

`int ln(x)/x dx =(ln(x))^2/2+C`

Combining the results, we get the general solution for differential equation `(yln(x)-xy'=0)`  as:

`ln|y|=(ln|x|)^2/2+C`

The general solution:` ln|y|=(ln|x|)^2/2+C` can be expressed as:

`y = C_1e^((ln|x|)^2/2)+C` .

I need help writing a short essay about the topic of whether religion changes lives.

Your main task in this essay is to narrow your topic. There are over 7 billion people currently alive in the world, and there is no way you could know how religion has affected all of their lives, much less the lives of all the people who have lived since the invention of writing some 5,000 years ago. Instead, you need to look at some particular aspect of some people's lives. 

If you have been studying the history of religion, you could look at examples of conversion experiences. For example, St. Augustine and St. Francis both had intense conversion experiences which caused them to abandon their earlier life styles and devote themselves to religion and charitable causes. You might argue that conversion experiences are generally positive, causing people to change their lives for the better. Another type of example you could cite would be Alcoholics Anonymous and how belief in a "higher power" has helped addicts on the path to recovery.

Alternatively, you could look at the negative side of religion, and talk about how religious wars and intolerance have caused massive amounts of human suffering. You could give as examples the religious wars in Europe in the seventeenth century or the current situation in the middle east. 

How does Scout Finch from To Kill a Mockingbird experience growth and maturity? How does Scout remodel herself?

Scout Finch grows into a young lady who empathizes with others. 

Most of us change when we grow up. Scout experiences a lot during the years this book takes place. Throughout the course of her childhood she grows and matures into someone who considers the feelings of others as well as her own. 

Scout’s father Atticus tries to teach her empathy from a young age. He impresses upon her the importance of not making fun of the Radleys or spewing their family business in the yard for all to see. He also asks her to think about things from others’ points of view when she has trouble with her teacher. Atticus tells Scout to get inside another person’s skin and walk around in it to see things from the other person’s perspective. 

Atticus said I had learned many things today, and Miss Caroline had learned several things herself... We could not expect her to learn all Maycomb’s ways in one day, and we could not hold her responsible when she knew no better (Chapter 3).

This growing sense of perspective is evident in Scout’s perception of the trial. She becomes upset when people insult her father and asks him what he is doing that people take such an issue with. Atticus explains he is just defending a black man, and that is unpopular in Maycomb but he has to do it because it is the right thing to do and it is his job. 

During the trial, Scout watches the proceedings with growing understanding. Mayella Ewell, the white girl who accused Tom Robinson of rape, seems very lonely to Scout. She realizes things are not always as they seem. 

As Tom Robinson gave his testimony, it came to me that Mayella Ewell must have been the loneliest person in the world. She was even lonelier than Boo Radley, who had not been out of the house in twenty-five years (Chapter 19). 

Scout understands there are issues of class at work here. Dolphus Raymond can live with his black woman and their kids, and people say it is just his way because he is from a good family. Mayella lives by the dump, and her father drinks away the Ewell family's welfare money. No one just accepts her the way she is.

Understanding her brother is sometimes harder for Scout.  As they get older, Scout and Jem grow apart. Scout does not understand Jem's behavior or perspective all the time, and she feels lonely. She always wants to be on equal footing with Jem, but there always seems to be a difference, either because of her gender or age. 

Scout comes full circle when she and Jem are rescued by Boo Radley. Bob Ewell attacks them and Boo saves them. Scout gets to live out a childhood fantasy by taking the gentle man’s hand and walking him home. Once on the Radley porch, Scout reflects on perspective: 

Atticus was right. One time he said you never really know a man until you stand in his shoes and walk around in them. Just standing on the Radley porch was enough (Chapter 31). 

Scout has turned into a little lady. She went from wandering around in overalls and climbing trees to helping her aunt host ladies' church meetings. Scout has an understanding of her place in society, and she has slowly come to accept it.

According to Scout, how can a person know that a jury has found the defendant guilty or not before the verdict is read in To Kill a Mockingbird?

Scout tells the readers of To Kill a Mockingbird that an attentive person can discern if the jury has found the defendant guilty: The jurors never look at the defendant as they return to their seats in the courtroom.

Crediting her knowledge to "something only a lawyer's child could be expected to watch for," Scout notes that not one man on the jury looks at Tom Robinson on the return from Jury Room. As the verdict is read, Scout closes her eyes and Jem grasps the railing so tightly that his knuckles turn white. With each "guilty," Jem jerks his body as though he is hit by something.

There is a sense of unreality for the children as they see Judge Taylor speaking, but do not know what he says. "Dimly," they see their father gathering his papers into his briefcase, and they numbly watch as he moves to the court reporter, and then to Tom Robinson, to whom he whispers something while touching him on the shoulder. Then, Atticus throws his coat over his shoulder and departs the courtroom by the shortest way. But, as he walks down the middle aisle, all the African-Americans in the balcony stand in respect, for they recognize that he has done his best to defend Tom, despite the outcome, which probably does not surprise them. For, the Reverend Sykes has told the children earlier that he has not witnessed a white jury decide "not guilty" before.

In "The Postmaster" by Rabindranath Tagore, what do we come to know about Calcutta?

The postmaster sees Calcutta as more desirable than Ulapur.

The opening description of Calcutta reveals how the postmaster feels out of place in Ulapur.  The postmaster "felt like a fish out of water in this remote village." Calcutta is seen as cosmopolitan, full of insightful and well-read people that more closely mirror the postmaster's predispositions.  The postmaster cannot appreciate Ulapur's people, whom he saw as "hardly desirable companions for decent folk."  

The postmaster also sees Calcutta as more hygienic than the village.  When he gets sick from the rains, the postmaster "at once wrote off to Calcutta an application for a transfer, on the ground of unhealthiness of the place."  The postmaster sees Ulapur as the reason for his illness.  This emphasis on the hygiene of Calcutta can be seen on the last day of the postmaster's stay. Unlike most people of Ulapur, who bathe in the local river, the postmaster "had stuck to his Calcutta habit of bathing in water drawn and kept in pitchers."  

When the postmaster tells Ratan that he is leaving, he says he is "going home."  Calcutta is where the postmaster's heart lies.  The postmaster's references lead us to see Calcutta as a place with more physical and cultural conveniences than than Ulapur's rural setting.