Access what the significance of the territorial terms of the treaty of Versailles was in hitler's rise to, and establishment of, power

Adolf Hitler was able to utilize the punishments levied against Germany by the Treaty of Versailles to rally political support for the goals of the Nazi Party.  The Germans were greatly harmed by reparations and loss of territory to the point that their economy was in shambles.  The citizens of Germany were desperate and Hitler's rallying cry was to restore German industrial and military might. This appealed to a large segment of Germans that were suffering from inflation and poverty.  Germany lost important territory such as the Saar coalfield that legitimately harmed its ability to resume industry.  Additionally, the Germans lost territory to France, Belgium, Denmark and Austria that displaced thousands of people of German descent. Hitler appealed to German nationalism in his goal of reuniting all of the German people that had been displaced.  
https://encyclopedia.ushmm.org/content/en/map/german-territorial-losses-treaty-of-versailles-1919

In stave 2, which ghost had more effect on Scrooge?

In stave 2, only one spirit makes an appearance: the Ghost of Christmas Past. The spirit's appearance is important as it provides us with a glimpse of how Scrooge used to be before he became such an ornery old miser. The ghost takes Scrooge back to his miserable childhood, when young Ebenezer was a lonely little boy, hating his boarding school with a passion. But when his beloved sister Fan turns up to take him home for the holidays, Ebenezer is overjoyed. A connection is thus established in young Scrooge's mind between Christmas and happiness, one that will last well into adulthood.
The ghost also introduces us to the charming sight of Scrooge as a young man heartily enjoying Christmas at the house of Mr. Fezziwig, his kindly former employer. But we also see a Scrooge whose soul is becoming corrupted by greed, so much so that his fiancée, Belle, breaks off her engagement with him. Belle is now a happily-married woman, enjoying Christmas with her large family while Scrooge is all alone in a big old drafty house, feeling miserable and being scared half to death by a ghost.
The visit of the Ghost of Christmas Past in stave 2 has a terrible effect upon Scrooge. It makes him feel utterly wretched to see just how far he has fallen in moral terms. Yet the fact that Scrooge was once capable of love, as well as a genuine enjoyment of Christmas, gives us hope that he has the capacity to change his ways.

How do gender and social class shape the aging process?

The aging process is influenced by many factors, including gender and social class. These influences affect aging because they often shape the expectations society has for the behaviors, habits, achievements, and social networks of adults through various life stages. There are differences among professional women and homemakers, as well as differences between men and women, when it comes to aging.
For men, social networks tend to be comprised of those around the same age, at all adult life stages. The social networks of men tend to also consist of members in similar occupations or occupation categories (Ajrouch, et al., 2005). However, men in more professional occupations such as legal, medicine, finance, managerial, and executive tend to have social circles that span broader geographical areas.
For women, the extent and geographic range of social networks is often determined by social class, as well as whether women have had careers outside the home. Women who have worked and have higher levels of education tend to have more expansive social networks, though not necessarily more close friends. Women with lower levels of education tend to have younger social circles in midlife, while social circles are more similar to theirs in later life. Professional women also tend to have older networks (Ajrouch, et al. 2005). 
Social class affects opportunity and health for both men and women. Those in lower socioeconomic groups tend to develop health problems earlier in adult life than those in higher socioeconomic groups. This is due to several factors, including access to knowledgeable providers and effective health services, as well as knowledge of health risks and health-promoting behaviors.

Why does Stargirl go against social norms?

The simplest answer to this question is that Stargirl goes against social norms because that's just who she is. Digging a little deeper, readers see that Stargirl goes against social norms because she loves everybody equally and unconditionally. It's why she is able to not only avoid retaliating after Hillari slaps her, but actually kiss her. Stargirl genuinely wants to make the lives of other people better. It's why she cheers for both teams. It's why she reads the newspaper and pays special attention to things like death notices, birthdays, and wedding announcements.

What she read were the parts that most people ignored, the parts without headlines and pictures, the boondocks of the paper: the hospital admissions, the death notices, the birthday and wedding announcements, the police blotter, the coming events calendar.

She loves to use this information in order to do her random acts of kindness. Stargirl is innately altruistic, and she acts on those feelings and impulses. It's a strong commentary on people and society that they view her as being so odd. Societal norms tell people to be selfish. Many people say they help themselves in order to help others, but Stargirl flips that around. She helps others in order to help herself.

Calculus of a Single Variable, Chapter 2, Review, Section Review, Problem 3

You need to find derivative using limit definition, such that:
f'(x)= lim_(Delta x -> 0) (f(x + Delta x) - f(x))/(Delta x)
f'(x) = lim_(Delta x -> 0) ((x + Delta x)^2 - 4(x+Delta x) + 5 - x^2 + 4x - 5)/(Delta x)
f'(x) = lim_(Delta x -> 0) (x^2 + 2x*Delta x + Delta^2 x - 4x - 4 Delta x + 5 - x^2 + 4x - 5)/(Delta x)
Reducing like terms yields:
f'(x) = lim_(Delta x -> 0) (2x*Delta x + Delta^2 x - 4 Delta x)/(Delta x)
Simplify by Delta x :
f'(x) = lim_(Delta x -> 0) 5(2x + Delta x - 4)
Replacing 0 for Delta x yields:
f'(x) = 2x - 4
Hence, evaluating the limit of function using limit definition, yields f'(x) = 2x - 4.

A string of length L and negligible mass is completely wound around a solid cylinder of uniform density, of mass M and radius R , and it has a small weight of mass m attached to its end. If the weight is released from rest under the influence of gravity, what is its velocity when the string is entirely unwound?

Use conservation of energy.
E_i=E_f
Since the string is length L , we want to know the speed after the mass has fallen a distance L . So the initial potential energy will be mgL . The final energy will be the kinetic energy of the falling mass and the rotational energy of the cylinder.
P_i=K_(t r a n s)+K_(rot)
mgL=1/2mv^2+1/2I omega^2
We need to know the moment of inertia of the cylinder. You could look it up, but lets calculate it.
First the total mass of the cylinder of uniform density rho is and height z is:
M=int rho dV=rho int_0^z pi R^2 dz=rho pi R^2 z
rho=M/(pi R^2 z)
Now calculate I .
I= int r^2 dm=int r^2 rho dV=int r^2 M/(pi R^2 z) dV
We need to integrate away from the axis of rotation. so we will integrate over r .
I=int_0^R r^2 M/(pi R^2 z) (2pi r)z dr
I=(2M)/R^2 int_0^R r^3 dr=(2M)/R^2*(1/4R^4)=1/2MR^2
Now we can solve for v .
mgL=1/2mv^2+1/2I omega^2
mgL=1/2mv^2+1/2(1/2MR^2) (v/R)^2
mgL=1/2mv^2+1/4Mv^2
4mgL=2mv^2+Mv^2
4mgL=(2m+M)v^2
(4mgL)/(2m+M)=v^2
Therefore, the answer is:
v=sqrt((4mgL)/(2m+M))
https://en.wikipedia.org/wiki/Rotational_energy

In this solution, I am going to assume that the cylinder is fixed so its center of mass can not move, even though this is not explicitly stated in the problem. This means the cylinder will not be moving as a whole. It will, however, rotate due to the string unwinding when the weight is released.
From the consideration of the conservation of energy, the change of the gravitational potential energy of the weight will equal the rotational kinetic energy of the cylinder and the kinetic energy of the weight:
Delta U_(gr) = DeltaK_(rot) + DeltaK
The gravitational potential energy of the weight, once the string is unwound, will change by
DeltaU_(gr) = mgL .
The change of kinetic energy of the weight at that time, since it starts moving from rest, will be
DeltaK = 1/2mv^2 , where v is the velocity we are looking for.
The change of the rotational kinetic energy of the cylinder, which also starts moving from rest, is
DeltaK_(rot) = 1/2Iomega^2 , where I is the cylinder's moment of inertia around its axis
I = 1/2MR^2
and
omega
is the angular velocity, which can be found considering that the point on the rim of the cylinder has the same linear velocity as that of the weight, v:
omega = v/R .
Plugging this into the equation of energy equation, we get
mgL = 1/2*1/2MR^2*(v/R)^2 + 1/2mv^2
mgL = 1/4Mv^2+1/2mv^2 =(M+2m)/4 v^2
From here,
v = sqrt((4m)/(M+2m)gL) .
This is the velocity of the weight when the string is unwound, in terms of m, M, L and g.
http://hyperphysics.phy-astr.gsu.edu/hbase/mi.html

http://hyperphysics.phy-astr.gsu.edu/hbase/rke.html

What is the theme of The Story of My Life by Helen Keller?

The major theme in Helen Keller's The Story of My Life is that drive and resilience in the face of adversity can lead to success beyond anyone's expectations. Another theme in the book is how important it is to have someone believe in you. In Keller's case, the obstacle she faces is losing her sight and hearing at a young age. At the time, many people thought Helen would never be able to speak, given the extent of her disabilities. However, with the help of her dedicated teacher Anne Sullivan, Keller is able to overcome her physical limitations and learn to speak, read, and write. Keller's desire to learn about the world and make positive contributions leads her to Radcliffe, the prestigious sister university to Harvard. While there, Keller succeeds academically, despite the difficulty of the work and the lack of modern day resources to support her. Although Keller's drive to learn about the world and make her mark on it is incredible, she likely would never have been as successful as she was if Anne Sullivan hadn't had the faith and patience to believe that she could be taught. It was through Sullivan's incredible support and ingenuity that Keller was given the tools to understand her world and to make her mark in it. Without Anne Sullivan's guidance, Keller may have been forever locked in the dark, confusing, and tumultuous world she had been living in ever since she lost her sight and hearing. 

The theme of The Story of My Life by Helen Keller is the power of perseverance to overcome great obstacles. Keller is struck with an illness when she is a very young child that makes her blind and deaf, and she exists in a world of confusion. She can not communicate with others but wants desperately to make herself understood and to understand others. She writes of this time, "At times that I kicked and screamed until I was exhausted." Keller, with the help of her teacher, Anne Sullivan, goes on from this state of frustration to learn to write, read, and speak with sign language and Braille. Through endless hours of hard work, she also attends Radcliffe, the sister school of Harvard. In her studies, she has to apply herself with much more dedication than other students, but she does so and triumphs as a result. 
Another theme of this book is the power of the right kind of education. As Keller writes, "It was my teacher's genius, her quick sympathy, her loving tact which made the first years of my education so beautiful." Through the power of perseverance and through the thoughtful and enlightened education of her teacher, Anne Sullivan, who was trained to work with blind children, Keller blossoms. Sullivan uses the natural world and objects that are dear to Keller, such as her doll, to teach her the names of objects and then to teach her to read. As Keller writes about her early education in the outdoors, "The loveliness of things taught me all their use." Anne Sullivan knows what will motivate Keller, and she uses her gifts as a teacher to teach Keller and enable her to go on to great achievements. 

A main theme of The Story of My Life is the power of perseverance. Helen is at a significant disadvantage in her life due to her disabilities, yet she is persistent enough to overcome these great obstacles. Another theme is the importance of role models, as Anne Sullivan's guidance changes Helen's life.