Which ordered pairs in the form (x, y) are solutions to the equation 4x−5y=24

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.

The radius of the earth is two times the radius of the moon. what fraction of the volume of the earth is the volume of the moon?

Find the maximum value of p= 4x + 5y subject to the following constraints :