Let R be the region in the first quadrant bounded by the graph of y=1x, the horizontal line y=1, and the vertical line x=e. (a) Find the area of region R.
(b) Find the volume of the solid generated when region R is revolved about the line y=1.

Find the greatest common factor of the polynomial: 10x^5+15x^4-25x^3 10x^5 x^3 5x^3 5

Simplify 15(x - 4)(x -1)-3(x + 4)(x - 1) with steps

At the olympic games, many events have several rounds of competition. one of these events is the men's 100-meter backstroke. the upper dot plot shows the times (in seconds) of the top 8 finishers in the final round of the 2012 olympics. the lower dot plot shows the times of the same 8 swimmers, but in the semifinal round. which pieces of information can be gathered from these dot plots? (remember that lower swim times are faster.) choose all answers that apply: a: the swimmers had faster times on average in the final round. b: the times in the final round vary noticeably more than the times in the semifinal round. c: none of the above.