A farmer is mapping out one of his fields and is placing markers to section off areas to use for different crops. He has placed marker 1 at the point (2, 1), marker 2 at the point (-3, 1), and marker 3 at the point (2, 5). Each grid on the map is a square acre. If the farmer marks off a rectangular field with the fourth marker, what is the area of the field?

Use the graph to determine the range. which notations accurately represent the range? check all that apply. (–∞, 2) u (2, ∞) (–∞, –2) u (–2, ∞) {y|y ∈ r, y ≠ –2} {y|y ∈ r, y ≠ 2} y < 2 or y > 2 y < –2 or y > –2

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.

Which type of graph would allow us to quickly see how many students between 100 and 200 students were treated?