Eric Nicholas K's answer to Sonia's Secondary 4 A Maths Singapore question.

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Eric Nicholas K
Eric Nicholas K's answer
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Hi Sonia!

Question A6 (a) and A6 (b) are your ordinary integration questions. Only basic techniques of integration are required. Unfortunately, the equations reduce to quadratic and cubic expressions respectively, so you will need the techniques to solve these expressions.

Question A7 requires you to realise that the gradient of the curve at any turning point is zero. We need to use this face to obtain k. From there, we obtain the equation of the curve by integration and by using the given coordinates to find the constant of integration c.