Help me with 1 and 5

Name: LILIAN M. PS Second Semester Final Date: 05 | 17/72 1. An open box is to be made from a 3-ft by 8-ft rectangular piece of sheet metal by cutting out squares of equal size from the four corners and bending up the sides. Find the maximum volume that the box can have. 2. x2 + 2xy + 12 = 8 3. g(x) = Vx3 -5x-13 4. y = (x2 +8x+6)5 5. When a pebble is tossed into a still pond, ripples move out from the point where the stone hits in the form of concentric circles. Find the rate at which the area of the disturbed water is increasing when the radius of the outermost circle equals 10 m if this radius is increasing at a rate of 2 m/s. A= mr . Sudglad mumism x2 -6x-27 X 7. lim - 8. lim (2x2+7x-8) * -> 2