What are the coordinates of the vertices of the triangle under the translation (x, y) (x + 2, y + 3)? (-4, 5), (3, 4), (0, 0) (5, -4). (4, 3), (-1, 2) (6, -5), (5, 2), (1, -1) (-5, 6), (2, 5), (-1, 1)

(a) compute the maclaurin polynomial m2(x) for f(x) = cos x. (b) use the polynomial of part (a) to estimate cos π 12. (c) use a calculator to compute the error made using the estimate from part (b) for the value of cos π 12. remember that the error is defined to be the absolute value of the difference between the true value and the estimate.

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.

If p(a) = 0.70 and p(b) = 0.20, then a and b are independent events if