“In 1648 the ________________________ ended the Thirty Years War in the region that would become Germany. The key idea [of the treaty] was that each ‘prince’ had the right to decide the public religion of his own people, while people who practiced other Christian beliefs could still practice their religion in private.”

“[The term ‘______________________’] is […] strange for several reasons, one of which is that it implies that these regions have tried in the past to become nation-states and were not able to do so because of some internal problem. In reality, many of these regions never had a coherent identity and were forged by European powers on grounds that had no basis in social reality.”

“In 1944 the United States convened a meeting in ___________________, which created three key institutions. ”

 Answer the question below with a paragraph of at least eight complete sentences. What role did African slavery play in the development of North and South America and the Caribbean in the sixteenth and seventeenth centuries?  

“The first [institution] was the _________________, [which] was designed to address [currency] crises. […] Although its creators designed [the second institution] to help Europe recover from World War II, its mission changed to focus on development in the 1950s.”

Central to the modern idea of ___________________ is the principle that states should refrain from interfering in each other’s internal affairs.

  (i)    Find the moment Mx = [answer1] (ii)   Find the moment My = [answer2] (iii)  Find the total mass m = [answer3] (iv)  Find the center of mass  = ( [answer4]). Round your answers to two decimal places. Answer (iv) by using a comma then a single space to separate answers.

Set up the integral for the surface area obtained by rotating the curve about the given axis. (i)  y=ln(1+x)  from (0,0) to (2, ln(3) ) about the x-axis

Set up the integral for the surface area obtained by rotating the curve about the given axis.   (i) y=e^x-x from (0,1) to (3,e^3-3) about the y-axis.

  (i)    Find the moment Mx = [answer1] (ii)   Find the moment My = [answer2] (iii)  Find the total mass m = [answer3] (iv)  Find the center of mass  = ( [answer4] ). Round your answers to two decimal places. Answer (iv) by using a comma then a single space to separate answers.