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The table below gives some of the values of x and y for the function `y= 1/2x^2 + 2x + 1` in the interval `0 le x le6`.

a) Use the values in the table to draw the graph of the
function on the grid provided.
b) i) Using the graph and the mid-ordinate rule with six (6) strips, estimate the area bounded by the
curve, the x – axis, the y- axis and the line x = 6.
ii) If the exact area of the region described in (b) (i) is `78cm^2`
calculate the percentage error
made when the mid-ordinate rule is used.