Use the method of cylindrical shells to find the volume v generated by rotating the region bounded by the curves about the given axis. y = cos(πx/4), y = 0, 0 ≤ x ≤ 2; about the y-axis

Atoy company is considering a cube or sphere-shaped container for packaging a new product. the height of the cube would equal the diameter of the sphere . compare the volume to surface area ratios of the containers. which packaging will be more efficient? for a sphere, sa =4πr²

Enter the number of complex zeros for the polynomial function in the box. f(x) = x+ + 5x² +6

Lesson 9-3 for items 8-10, a square is drawn in the coordinate plane, with vertices as shown in the diagram. then the square is reflected across the x-axis. -2 4 8. the function that describes the reflection is (x, y) - a. (x, y-3). b. (x, y-6). c. (-x, y). d. (x,- y).