The gradient function of a curve is where is constant.The equation of the normal to the curve at point is ..

a)Find the value of

b)the equation of the curve.

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- September 30th 2010, 06:14 AMmastermin346equation of normal problem
The gradient function of a curve is where is constant.The equation of the normal to the curve at point is ..

a)Find the value of

b)the equation of the curve. - September 30th 2010, 06:23 AMProve It
The normal is

.

Therefore, the gradient of the tangent will be , since the tangent and normal are perpendicular.

So the gradient function at the point has a value of .

Substituting into the derivative gives

.

Now that you know , you know

.

Since lies on this curve

.

Thus the equation of the curve is .