waecE-LEARNING
Further Mathematics Paper 2, May/June. 2010  
Questions: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 Main
General Comments
Weakness/Remedies
Strength








Question 3

The equation of a curve is y = x(3 - X2). Find the equation of its normal at the point where x = 2.

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Observation

Majority of the candidates were reported to have performed well in this ~uestion. They were able to expand and differentiate the given equation y = x (3-x ) with
respect to x to obtain dy= 3 - 3x2, substitute x = 2 into dy = 3 - 3x2 and
                                        dx                                                     dx
simplified to obtain the gradient of the normal as 1/9. Thus, the equation of the normal at the point x = 2 was obtained by finding the value of y when x = 2 from

the curve and applying appropriate rule such as y+2 = ~ to obtain x - 9y - 20 = O
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