Question 8, 5 and 6 please

3. [T /6 MARKS] If 2700 cm2 of material is available to make a box with a square base and open top, find the dimensions of the box that give the largest volume of the box. What is the maximum value of the volume? 5. [C/ 4 MARKS] Consider the function f(x) defined by the following graph: -3 1-2 10 1-1 For each value of x = a, classify the function f(x) as continuous, having a jump, a removable or an infinite discontinuity. a) a= -3 b) a = -1 c) a= 2 d) a = 0 6. [K/4 MARKS] For each case, find the average rate of change over each interval. a) f(x) = x4 - x3+x2 [-1, 1] b) f ( x ) =- [0, 2] 2x+1