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2. Sketch (specific co-ordinates are not needed) a function which has an undefined derivative at x = 2, and has a positive interval followed by a negative interval within the first derivative test interval analysis. (3 marks) 3. Is y = x15 - x12 an example of 'the second derivative test fails"? Discuss why/why not using appropriate calculations. (3 marks) 4. A box with a square base and no top must have a volume of 10000 cm^3. Determine the dimensions of the square base and the height which minimize the Surface Area of the box. Note: V = (x*2)h and SA = x^2 + 4xh, where x is the length and width of the base, and h is the height of the box. (5 marks) Knowledge Multiple Choice: Write the best answer on the line provided to the left of each question. [@ marks/each] 1. Find the absolute maximum of the function f (x) = x(x + 1)(x - 1) on the interval OSX52 A B C -1 8 2. The function f (x) = x3 - 3x2 + x + 2 is concave up on which interval? A x>0 B x>1 C x