How were African and South and East Asian societies impacted by Europe’s economic imperialism?

Prior to the creation of the us constitution, the general view of representative government is that it only worked in very small-scale environments- essentially a city-state or smaller. otherwise, the actual reflection of popular will declined in the representatives (ie, the difference between 1 representative per 100 citizens and 1 representative per 10,000 citizens), and generally the whole process became inefficient and self-destructive.james madison, however, was like 'no beezy'. he remarked that small republics were prone to faction and thus collapsed quickly. a large republic, he said, had so many interests and factions that none could rule, and thus they had to moderate and compromise.

You need to figure out at which x-value does the graph has a tangent line slope of -1.remember, the derivative is the slope of the tangent line. so find the derivative function and set it to equal -1 to find the x-value that will have a tangent line slope of 0.differentiate with the chain rule.    set the derivative to equal -1 and solve for x.      take log base 10 of both sides. also recall that  .    so the x-coord of the point of tangency is .the y-coordinate of this point of tangency can be calculated using the original function:     using point-slope form, the equation of the tangent line is      the x-intercept of this tangent line is when the graph is at y=0.    this rounds off to  .choice c.