The most recent poll of 50 randomly-selected members of a school club with a total of 80 members showed that 38 are planning to vote for Talia as president of the club. Talia correctly determined that the margin of error, E, of the poll using a 95% confidence interval (z*-score 1.96) is approximately 12%.

Simplify a7/a4 a) 1/a3 b)-a/a2 c)a4/a3 d)a3

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.

If you apply the below transformations to the square root parent function, f(x) = vx, what is the equation of the new function? • shift 12 units right. • shift seven units down.