Find a simple v or u function to establish the stability or instability, respectively, of the zero solution of the following equations. (v) x = sin y, ? =-2x-3y; (vi) x = x + e-v-1, ý x; (vii) x = ex-cos y, ? = y; (viii) x = sin (y +x), y =-sin (y-x); (ix) x=x3 (x) x = x + 4y, ? =-2x-5y; (xi) x=-x + 6y, ? = 4 x+y.

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.