Arrange the following pairs of coordinates in order from least to greatest based on the distances between the points.
(4, 1) and (2, 2)
(-5, 2) and (-3, -2)
(3, -4) and (-2, 1)
(-1, -2) and (1, -4)
(5, -2) and (-1, -1)

Choose the correct slope of the line that passes through the points (1, -3) and (3, -5)

Determine whether the following statements are true and give an explanation or counterexample. bold a. when using the shell method, the axis of the cylindrical shells is parallel to the axis of revolution. bold b. if a region is revolved about the y-axis, then the shell method must be used. bold c. if a region is revolved about the x-axis, then in principle it is possible to use the disk/washer method and integrate with respect to x or the shell method and integrate with respect to y.

Mary beth used the mapping rule to find the coordinates of a point that had been rotated 90° counterclockwise around the origin. examine the steps to determine whether she made an error. m (3, –6) is rotated 90° counterclockwise. (x, y) → (–y, x) 1. switch the x- and y-coordinates: (6, –3) 2. multiply the new x-coordinate by –1: (6(–1), –3) 3. simplify: (–6, –3) .