Let R be the region bounded by the following curves. Let S be the solid generated when R is revolved about the given axis. If possible, find the volume of S by both the disk/washer and shell methods. Check that your results agree. y=x, y=x 1 21 in the first quadrant; revolved about the x-axis

Quick! a survey of 57 customers was taken at a bookstore regarding the types of books purchased. the survey found that 33 customers purchased mysteries, 25 purchased science fiction, 18 purchased romance novels, 12 purchased mysteries and science fiction, 9 purchased mysteries and romance novels, 6 purchased science fiction and romance novels, and 2 purchased all three types of books. a) how many of the customers surveyed purchased only mysteries? b) how many purchased mysteries and science fiction, but not romance novels? c) how many purchased mysteries or science fiction? d) how many purchased mysteries or science fiction, but not romance novels? e) how many purchased exactly two types of books?

Given that δabc is similar to δdef, which is a possible trigonometric ratio for ∠d? a) tan d = 24 30 b) tan d = 30 24 c) tan d = 18 24 d) tan d = 24 18

Astudent solves the equation for v. start with the original equation. use the square root property. use the division property of equality. use the multiplication property of equality. simplify. which statement explains how to correct the error that was made? the square root property must be applied after all other properties of equality are applied. the multiplication property of equality should have been applied before the division property of equality. the division property of equality should have been applied to move the fraction to the other side of the equation. the square root property should have been applied to both complete sides of the equation instead of to select variables.