Question: a) An open box with a rectangular base is to be constructed from a rectangular piece of cardboard 16cm wide and 21 cm long by

a) An open box with a rectangular base is to be constructed from a rectangular piece of cardboard 16cm wide and 21 cm long by cutting a square from each corner and then bending up the sides. Find the size of the corner square that will produce a box having the largest possible volume, and find the maximum volume. (4) b) The curve y = ax2 + bx + 12 has a maximum turning point at (1,13). Find a and b. (2)

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