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# C4 Differentiation and parametric equations, need help!

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1. Attachment 521351521353Attachment 521351521353

Need help with Q5b and Q8D. I can do the first part of the question but I'm totally lost on this part
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2. (Original post by Shiv Loves Maths)
Attachment 521351521353Attachment 521351521353

Need help with Q5b and Q8D. I can do the first part of the question but I'm totally lost on this part
For Q8 d, you can either find the Cartesian equation of the curve and solve simultaneously, or you can substitute the expressions for x and y in the equation of the normal and solve it simultaneously that way. I'd go for the second method as finding the Cartesian equation here seems pointless since it doesn't ask you to do it specifically anywhere.
You would do 5b in the same way.
3. (Original post by B_9710)
For Q8 d, you can either find the Cartesian equation of the curve and solve simultaneously, or you can substitute the expressions for x and y in the equation of the normal and solve it simultaneously that way. I'd go for the second method as finding the Cartesian equation here seems pointless since it doesn't ask you to do it specifically anywhere.
You would do 5b in the same way.
Coukd you do it for me please?
4. (Original post by Shiv Loves Maths)
Coukd you do it for me please?
I won't do it all. But I'll point you in the right direction.
We have the equation of the normal at A as

But we know that so if we substitute these expressions in for x and y in the equation of the the normal we can find the t values and the point of intersection of the normal and the curve.
So .
so now use this to form a quadratic in and then solve. Remember that you already know that so you already know one of the factors of the quadratic so it should be very easy to find the other and then solve.

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