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Mathematics: Post your doubts here!

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Please help me with Mathematics P31 November 11 Question 3. The detailed working, since it is not clearly givn in the marking scheme. I will appreciate it.

http://papers.xtremepapers.com/CIE/Cambridge International A and AS Level/Mathematics (9709)/9709_w11_qp_32.pdf

http://papers.xtremepapers.com/CIE/...S Level/Mathematics (9709)/9709_w11_ms_32.pdf

Okay...Do you know the long division method ? Cuz that's what I used. You divide P(x) by (x^2 - x + 1). Then you get a remainder in terms of a. Then you equate remainder=0.
If it's still unclear, I can take a picture of my workings. :)
 
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Okay...Do you know the long division method ? Cuz that's what I used. You divide P(x) by (x^2 - x + 1). Then you get a remainder in terms of a. Then you equate remainder=0.
If it's still unclear, I can take a picture of my workings. :)

Yes, I know the long division method, however it is still unclear. Please show me your working; I would appreciate it greatly.
 
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The complex number u is defined by u = (1 + 2i)^2 / (2+i)

(i) Without using a calculator and showing your working, express u in the form x + iy, where x and

y are real. [4]

(ii) Sketch an Argand diagram showing the locus of the complex number s such that |s − u| = |u|.
[3]


can sum1 help me with the argand diagram ?
 
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T
Thank you very much for the effort, I appreciate it and will pray for you.

I just realised I had copied the question wrong(taken the x^3 as x^2). lol.

You're welcome :)

Haha I hate when that happens :p
 
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what is the gradient of the curve when it is parallel to the x-axis and also what is the gradient of the curve when it is parallel to the y-axis ?
 
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what is the gradient of the curve when it is parallel to the x-axis and also what is the gradient of the curve when it is parallel to the y-axis ?

Parallel to the x-axis is 0.
Parallel to the y-axis is 1/0.

If you ever forget or get confused, take any two points on the axis you want, and find it's gradient. :)
 
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what is the gradient of the curve when it is parallel to the x-axis and also what is the gradient of the curve when it is parallel to the y-axis ?

Hold on.. you mean the tangent to the curve is parallel to the x- or y-axis, right ?
 
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