From the rectangular piece of cardboard having dimensions 30 multiplied by 40, the open box is to be made by cutting out identical squares of area x2 from every corner and turning up sides. a = 30 and b = 40.)
(a) Write the formula for the volume of the box.
V(x) =(b) Determine all positive values of x such that function V(x) > 0.
(15, 20) (0, 15) ? (20, infinity) (0, 15) (0, 30) (40, infinity) (0, 20)
Draw graph of V for x > 0.