Author: Anonymous

“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.

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

  (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=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.

  (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.

A triangular tank measuring 12m tall, 15m long, and 4m across contains water 6m deep. Which of the following integrals represents the work required to pump all the water out of the top of the tank? (Assume the acceleration due to gravity is 10 m/s\(^2\) and the density of water is 100 kg/m\(^3\).)