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MAT Question

https://s3-eu-west-1.amazonaws.com/www.tutorfair.com/resources/attachments/5524722c4c0ba94f37eee46b32996e4dbaaba99a_1.pdf

Question 2iii the second part

I worked it out and the polynomial would have a degree of 2 every time but in the solutions it says a degree of 2^k
Reply 1
Avatar for Pangol
Pangol
15
Original post by Carman3
https://s3-eu-west-1.amazonaws.com/www.tutorfair.com/resources/attachments/5524722c4c0ba94f37eee46b32996e4dbaaba99a_1.pdf

Question 2iii the second part

I worked it out and the polynomial would have a degree of 2 every time but in the solutions it says a degree of 2^k


Do you get that f2(x) is a quadratic? If so, then every time you apply it, the highest power goes up by 2. If it's not easy to see straight away, work out f2(f2(x)) and see what you get.
Reply 2
Avatar for Carman3
Carman3
OP
12
Original post by Pangol
Do you get that f2(x) is a quadratic? If so, then every time you apply it, the highest power goes up by 2. If it's not easy to see straight away, work out f2(f2(x)) and see what you get.


Oh forgot the squared on the x :biggrin:
Reply 3
Avatar for Pangol
Pangol
15
Original post by Carman3
Oh forgot the squared on the x :biggrin:


That would explain it!

(And when I said "every time you apply it, the highest power goes up by 2", I meant by a *factor* of 2. Sorry about that.)
Reply 4
Avatar for Carman3
Carman3
OP
12
Original post by Pangol
That would explain it!

(And when I said "every time you apply it, the highest power goes up by 2", I meant by a *factor* of 2. Sorry about that.)


Can you also help me with Q4ii
https://s3-eu-west-1.amazonaws.com/www.tutorfair.com/resources/attachments/5524722c4c0ba94f37eee46b32996e4dbaaba99a_1.pdf

I dont know what they mean by A(theta) and B(theta)
Reply 5
Avatar for Pangol
Pangol
15
Original post by Carman3
Can you also help me with Q4ii
https://s3-eu-west-1.amazonaws.com/www.tutorfair.com/resources/attachments/5524722c4c0ba94f37eee46b32996e4dbaaba99a_1.pdf

I dont know what they mean by A(theta) and B(theta)


Bit pushed for time at the moment - I'll see if I can pop back later. But A(theta) and B(theta) are the areas bounded by the axes, the circle, and the line PR.
Original post by Carman3
Can you also help me with Q4ii
https://s3-eu-west-1.amazonaws.com/www.tutorfair.com/resources/attachments/5524722c4c0ba94f37eee46b32996e4dbaaba99a_1.pdf

I dont know what they mean by A(theta) and B(theta)

A(theta) is the area of the zone that it is written in, i.e. between the line QP, the x-axis and the circle. B(theta) is the line RQ, the circle and the y-axis.
Original post by RogerOxon
A(theta) is the area of the zone that it is written in, i.e. between the line QP, the x-axis and the circle. B(theta) is the line RQ, the circle and the y-axis.

The area A(theta) is outlined in red, and B(theta) in blue:
Mat.jpg

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