The gradient of a curve is given by , where a is a constant. The curve passes through the points (−1, 2) and (2, 17). Find the equation of the curve.

**Answer:**

The gradient of the curve is

the equation of the curve would be given by

The curve passes through the points (−1, 2) and (2, 17).

At (-1,2):

or, ,

At (2,17): , or

or

or

As or or

As

the equation of the curve is

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