Find the region enclosed by x=3y and x=-y^2+4. Set up integrals both shell and disc that represent the volume when this region is revolved about y=4.
i got the shell method, how would i represent the disc method>
pi integral(-4,1) (3y-4)^2-(-y^2)^2 --this is wat i got for disc method...
Sand is falling onto a cone-shaped pile at the rate of 9pi cubic feet per minute. the diameter of the base is always 3 times the height of the cone. At what rate is the height of the pile changing when the pile is 12 feet high.
d=3h then r=3h/2 dr/dt=(3/2)...