Let ∑k=1[infinity](−1)k+1ak be a convergent alternating series with terms that are nonincreasing in magnitude. Let Rn=S−Sn be the remainder in approximating the value of that series by the sum of its first n terms. Then Rn≤an+1. In other words, the magnitude of the remainder is less than or equal to the magnitude of the first neglected term. For the convergent alternating series ∑k=0[infinity] (−1)k (2k+1)4, evaluate the nth partial sum for n=2. Then find an upper bound for the error S−Sn in using the nth partial sum Sn to estimate the value of the series S.

Match the following terms with their definitions. 1. bisector of a segment ray ba and ray bc are opposite rays if a, b, and c are collinear and b (the endpoint of both rays) is between a and c. 2. opposite rays a ray, , is the set of points beginning at point a and going infinitely in the direction of point b. 3. collinear points a line or segment that intersects the segment at its midpoint. 4. betweenness of points a set of two or more points all on the same line. 5. ray the distance between the endpoints of a segment. 6. space point b is between a and c if a, b, and c are collinear and the equation ab + bc = ac is true, where ab, bc, and ac are the distances between points a and b, b and c, and a and c, respectively. 7. midpoint of a segment a set of two or more points all on the same plane. 8. coplanar points the point on a segment that divides the segment into two equal segments. 9. length of a segment the set of all possible points. 10. line segment the set of two different endpoints and all points between them.

Solve: 3x+y=6 4x-2y=18 show all work !

What is the value of f(x) = 2.2 for f(-2)?