Probably, yes, though it's possible your teacher has given you a trick question!  You should ALWAYS graph the shape you're rotating, either by using your graphing calculator or sketching on paper.  Visualizing what you're doing clearly can help you avoid all sorts of problems.  With...

I'm not sure if you mean 1/[4(x +1/2)] - 2/[3(x - 1/6)] - 1/2 , with the parentheses in the denominators, or (1/4)(x+1/2) - (2/3)(x-1/6) - 1/2, which means the fractions are simply next to the parentheses.  I'm going the guess you mean the second one!  Also, there's no equal sign...

The Always Works approach for percent problems like these is to set it up as a fraction problem: percentage / 100 = part / whole For any problem, you'll know two of these, and have to find the last.  In this case you know the partial price of the suit - that is, you know the price that...

-7(1-4m) = 13(2m-3) The first thing you want to do it get rid of those parenthesis.  You can do this by distributing the -7 and the 13.  That means multiplying the -7 by each term inside it's parenthesis (the 1 and the -4m), and doing the same with the 13 on its side: -7 +...

Solve |2y - 2| = 15 The least confusing way to solve an absolute value problem is to split it into two problems, one for the positive possibility, and one for the negative.  So, we'd split this problem into these two problems: 2y - 2 = 15                ...