19. which one of the following problems may result from a direct democracy?

Some problems with direct democracy can be:

Sometimes the people are foolish and easily manipulated. Also representatives can also be foolish and easily manipulated.

Money applied in the right places can influence uninformed voters. But the same applies to representatives.

The people may not understand complex issues and may fall for simplistic solutions.

The answer is    (d) 7/2======we have    we also  have an integral      notice how function f splits up at x = 0. there's a left piece and a right pieceso we'll need to do the same thing with our integral: split it at x = 0we use a property of integrals that allows us to split up and sum:     notice that for the piecewise function f, the function has the equationf(x) = x when x  ≤ 0. so for the integral  , f(x) = x so it changes into      for the piecewise function f, the function has the equationf(x) = x+1  when x  > 0. for the integral  , we have    therefore, back to our splitted integral: