Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01R) | Year 2014 | June | Q#8
Question
,
Given that y=37 at x=4, find y in terms of x, giving each term in its simplest form.
Solution
We are given that;
We are given coordinates of appoint that is y=37 at x=4 ie (4,37).
We are required to find the equation of y in terms of x.
We can find equation of the curve from its derivative through integration;
Therefore,
Rule for integration of is:
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.
.
Therefore, substituting the coordinates of point(4,37) in above equation;
Therefore, equation of the curve C is;
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