Let D be the region bounded below by the plane z=0, above by the sphere x2+y2+z2=196, and on the sides by the cylinder x2+y2=49. Set up the triple integrals in cylindrical coordinates that give the volume of D using the following orders of integration. a) dzdrdθ
b) drdzdθ
c) dθdzdr

Aright triangle includes one angle that measures 30º. what is the measure of the third angle? a. 30º b. 90º c. 60º d. 130º

Assume that the weights of quarters are normally distributed with a mean of 5.67 g and a standard deviation 0.070 g. a vending machine will only accept coins weighing between 5.48 g and 5.82 g. what percentage of legal quarters will be rejected? round your answer to two decimal places.

Bob is putting books on a shelf and takes a break after filling 18 1/2 inches on the book shelf. the book shelf is now 2/3 full. how long is the entire bookshelf?