Consider the following function. f(x) = x5/7, a = 1, n = 3, 0.7 ≤ x ≤ 1.3
(a) approximate f by a taylor polynomial with degree n at the number a. t3(x) = correct: your answer is correct.
(b) use taylor's inequality to estimate the accuracy of the approximation f(x) ≈ tn(x) when x lies in the given interval. (round your answer to eight decimal places.) |r3(x)| ≤ 0.7 incorrect: your answer is incorrect.
(c) check your result in part (b) by graphing |rn(x)|.

When constructing a perpendicular line through a point off a line, how can you verify that the lines constructed are perpendicular? check the angles used in the construction with a straightedge to ensure consistency. check the distance along the lines at several places with a compass to ensure they are the same length. check the intersecting lines with the corner of a piece of paper to ensure the lines create 90° angles. check the distance between the lines at several places with a compass to ensure they are equidistant. question 2(multiple choice worth 1 points) (01.03 lc) which of the following steps is included in the construction of a perpendicular line through a point on a line? connect arcs that are above and below the given line with a straightedge. connect arcs that are above the original line with a straightedge. create arcs on either side of a point that is off the given line. create a copied angle by using the first two lines as the original angle.