Let R be the region bounded by the following curves. Use the shell method to find the volume of the solid generated when R is revolved about the x- axis. y = Sqrt x , y = 0, and x = 81
V = ? (Type an exact answer in terms of pi)

Through non-collinear points there is exactly one plane.

Aproduction manager test 10 toothbrushes and finds that their mean lifetime is 450 hours. she then design sales package of this type of toothbrush. it states that the customers can expect the toothbrush to last approximately 460 hours. this is an example of what phase of inferential statistics

What is the range of the function? f(x)=-2|x+1|? a. all real numbers. b. all real numbers less than or equal to 0. c. all real numbers less than or equal to 1. d. all real numbers greater than or equal to 1