Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2016 | Oct-Nov | (P1-9709/12) | Q#1
A curve is such that . The point (2,5) lies on the curve. Find the equation of the curve.
We are given that;
We can find equation of the curve from its derivative through integration;
Rule for integration of is:
If a point lies on the curve , we can find out value of . We substitute values of and in the equation obtained from integration of the derivative of the curve i.e. .
We are also given that curve passes through the point (2,5).
Substitution of x and y coordinates of point in above equation;
Therefore equation of the curve is;