Write three functions. in the first function, y should vary directly with x. in the second function, y should vary inversely with x. in the third function, the relationship between x and y should be neither inverse variation nor direct variation. describe the graph of each function and give a real-world example for each.

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.

Anna is constructing a line segment that is congruent to another segment ab. for the construction, which tool should be used to mesure segment ab

Combine the information in the problem and the chart using the average balance method to solve the problem.