1. [-/8 Points] DETAILS LARCALCET7 4.7.004. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER An open box of maximum volume is to be made from a square piece of material, s = 36 inches on a side, by cutting equal squares from the corners and turning up the sides (see figure). XT S - 2x (a) Analytically complete six rows of a table such as the one below. (The first two rows are shown.) Height, x Length and Width Volume, V 1 36 - 2(1) 1[36 - 2(1)]2 = 1156 2 36 - 2(2) 2[36 - 2(2)]2 = 2048 36 - 2(3) 3[36 - 2(3) 12 = 4 36 - 2(4) 4[36 - 2(4) ]2 = 5 36 - 2(5) 5[36 - 2(5) ]2 = 6 36 - 2(6) 6[36 - 2(6)]2 = Use the table to guess the maximum volume. V = (b) Write the volume V as a function of x. V = 0