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(x_(n+1), y_(n+1))=(x_n^2-y_n^2+a, 2x_ny_n +b+2). (i) Find (x1, y1) if (a, b)=(1,-1) and (x_n, y_n) is constant. (ii) Find (a, b) if (x1, y1)=(-1,1) and (x_n, y_n) has period 2.

(i) x_1=x_1^2-y_1^2+1, y_1=2x_1y_1+1 by the equations given and the equality of x_1, x_2, x_3. Substituting and trial and error of factor theorem results in x_1(x_1-1)(4x_1^2-4x_1+5)=0 . The qu...

TD
Answered by Tutor80806 D. STEP tutor
1436 Views

How do you structure an answer to the source question on a HAT paper?

First of all, it will depend on the style of source, since every source has slightly different content, context, and intended meaning. Let's take for example last year's HAT paper, which was a constitutio...

LA
Answered by Leonardo A. HAT tutor
4429 Views

What is the best strategy for answering 'Verbal Reasoning' questions?

The important thing to remember is that this section is extremely time limited - you should not try and read all of the given sample paragraph. Instead, read the question first an...

AA
Answered by Adil A. UCAT tutor
4511 Views

How would I go about graph sketching?

You want to look at turning points, intersections and when the gradient is possitive or negative. It is also important to demonstrate what is going on with graphs when they are tending towards 0 (especial...

SG
Answered by Simon G. MAT tutor
1492 Views

What should I include in my personal statement?

The key question you need to have in your mind when writing your personal statement is: “Why me?”Admissions officers want to know if you are the type of person who could contribute to their Universities i...

MR
Answered by Muna R. LNAT tutor
1971 Views

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