In art class, Cassie takes a square of cardboard and weaves a wire through it, as shown in the figure. When she holds the ends of the wire, the wind spins the
cardboard on the wire axis. It this is photographed, it looks like a 3-dimensional
object. What 3-dimensional shape is generate by spinning the cardboard square on
the wire axis?

In the rectangle below ac=30 units what is de

Determine whether the following statements are true and give an explanation or counterexample. bold a. when using the shell method, the axis of the cylindrical shells is parallel to the axis of revolution. bold b. if a region is revolved about the y-axis, then the shell method must be used. bold c. if a region is revolved about the x-axis, then in principle it is possible to use the disk/washer method and integrate with respect to x or the shell method and integrate with respect to y.

Complete the solution of the equation. find the value of y when x equals -5. -4x - 8y = -52