If 24 tapered pins can be machined from a steel rod 12 ft long, how many tapered pins can be made from a steel rod 6ft long?

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.

[15 points, algebra 2]simplify the complex fraction and find the restrictions.

What are the first 4 terms in the multiplication pattern given by the formula 2×4n