A tank formed by rotating y = 4x 2 , 0 ≤ x ≤ 1 about the y-axis is full of water. The density of the water is given by rho = 62.5 lb/ft3 . Find the work required to pump all the water to a level 1 foot above the top of the tank.

The long jump record, in feet, at a particular school can be modeled by f(x) = 19.6 + 2.5ln(x + 1) where x is the number of years since records began to be kept at the school. what is the record for the long jump 11 years after record started being kept? round your answer to the nearest tenth.

If the sales price of a dvd is $20 and the markup is 34%, what is the cost of the dvd?

Aflagpole broke in a storm. it was originally 8 1 81 feet tall. 2 8 28 feet are still sticking straight out of the ground, where it snapped, but the remaining piece has hinged over and touches the ground some distance away. how far away is the end of the pole from the base of the pole along the ground?