Let R be the region bounded by the following curves. Use the shell method to find the volume of the solid generated when R is revolved about the x- axis. y = Sqrt x , y = 0, and x = 81
V = ? (Type an exact answer in terms of pi)

Find the product of (4x + 3y)(4x − 3y). 16x2 − 24xy + 9y2 16x2 − 9y2 16x2 + 24xy + 9y2 16x2 + 9y2

Twenty points. suppose that one doll house uses the 1 inch scale, meaning that 1 inch on the doll house corresponds to 1/2 foot for life-sized objects. if the doll house is 108 inches wide, what is the width of the full-sized house that it's modeled after? in inches and feet

Which of the following is closest to 32.9 x 7.5? a: 232 b: 259 c: 220 d: 265