Think of a situation with a question that can be represented by the equation 12 ÷ 2 3 = ? . Describe the situation and the question.

The composite figure is made up of a parallelogram and a rectangle. find the area. a. 76 sq. units b. 48 sq. units c. 124 sq. units d. 28 sq. units

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 approach to the theory-and-research cycle does the following sequence reflect: (1) specific observations suggest generalizations, (2) generalizations produce a tentative theory, (3) the theory is tested through the formation of hypotheses, and (4) hypotheses may provide suggestions for additional observations?