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# Converting from parametric

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1. How would you find the intrinsic equation of the curve defined by the parametric equations , a is constant.
I have but don't really know where to go from there.
2. (Original post by Ano123)
How would you find the intrinsic equation of the curve defined by the parametric equations , a is constant.
I have but don't really know where to go from there.
So the task is to determine the specified arclength satisfying and an initial condition of your convenience.

By two uses of the chain rule, observe that this can be rewritten in the form:

Can you finish it from there?
3. (Original post by Farhan.Hanif93)
So the task is to determine the specified arclength satisfying and an initial condition of your convenience.

By two uses of the chain rule, observe that this can be rewritten in the form:

Can you finish it from there?
The task is to find the arc length in terms of the angle of the tangent from whatever direction.
4. (Original post by Ano123)
The task is to find the arc length in terms of the angle of the tangent from whatever direction.
Right, so what's the issue? If you follow through the above post, you'll see that this is easily obtained by plugging in after finding .
5. Thanks, this is perfect.

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