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Mathematics: Post your doubts here!

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Helllo Can someone Solve June 2012 Paper 13 Question 3 and October 2014 paper 13 Plzzzzz. Also who is sitting in variant maths 9709 p12?
Mj12
3) First three terms of expansion of (1 + ax)^6 = 1 + 6ax + 15a^2x^2
Expanding (1 - 2x)^2 = 4x^2 - 4x + 1
Multiply both to get x^0 term, x^1 and x^2 term.
x^0 = 1
x^1 = -4x + 6ax
x^2 = -24ax^2 + 4x^2 + 15a^2x^2

We know coffiecients
x^0 = 1
x^1 = -1
x^2 = b

x^1 : -4 + 6a = -1 ; a = 1/2
x^2 : -12 + 4 + 15/4 = -17/4

so a = 1/2 and b = -17/4
 
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Yasss , sorry silly me I forgot to state which question. Its question three w14 p13 But omg thanks a buunch for Binomial expansion ! xx
(i)
9x^2 - 12x + 5
9(x^2 - 4/3x + 5/9)
9((x - 2/3)^2 + 1/9)
9(x - 2/3)^2 + 1
-> 1(3x - 2)^2 + 1
(ii)
d(3x^3 - 6x^2 + 5x - 12) / dx
9x^2 -12x + 5 = 9(x - 2/3)^2 +1
f'(x) always > O so increasing function.
 
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(i)
1) 9x^2 - 12x + 5
2) 9(x^2 - 4/3x + 5/9)
3) 9((x - 2/3)^2 + 1/9)
4) 9(x - 2/3)^2 + 1
-> 1(3x - 2)^2 + 1
(ii)
d(3x^3 - 6x^2 + 5x - 12) / dx
9x^2 -12x + 5 = 9(x - 2/3)^2 +1
f'(x) always > O so increasing function.

Hey how did u transform the thing from step 3 to step 4 (like where did the 1/9 go ? and then from step 4 to the answer (where did the 9 go and what happened to the values inside the brackets.)
 
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(i)
9x^2 - 12x + 5
9(x^2 - 4/3x + 5/9)
9((x - 2/3)^2 + 1/9)
9(x - 2/3)^2 + 1
-> 1(3x - 2)^2 + 1
(ii)
d(3x^3 - 6x^2 + 5x - 12) / dx
9x^2 -12x + 5 = 9(x - 2/3)^2 +1
f'(x) always > O so increasing function.
Hey how did u transform the thing from step 3 to step 4 (like where did the 1/9 go ? and then from step 4 to the answer (where did the 9 go and what happened to the values inside the brackets.)
btw i added nummbers to ur steps so you could know which step i am referring too. Also 9 (a) The first term of an arithmetic progression is −2222 and the common difference is 17. Find the value of the first positive term. [3] (b) The first term of a geometric progression is ï3 and the second term is 2 cos 1, where 0 < 1 < 0. Find the set of values of 1 for which the progression is convergent. Can you solve question 3b for mehh and explain :))? This question is in http://papers.xtremepapers.com/CIE/...S Level/Mathematics (9709)/9709_s15_qp_13.pdf if you dont understand it here
 
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btw i added nummbers to ur steps so you could know which step i am referring too. Also 9 (a) The first term of an arithmetic progression is −2222 and the common difference is 17. Find the value of the first positive term. [3] (b) The first term of a geometric progression is ï3 and the second term is 2 cos 1, where 0 < 1 < 0. Find the set of values of 1 for which the progression is convergent. Can you solve question 3b for mehh and explain :))? This question is in http://papers.xtremepapers.com/CIE/Cambridge International A and AS Level/Mathematics (9709)/9709_s15_qp_13.pdf if you dont understand it here
Sorry for the late reply I am busy with some work.
Here is the thing 9 * 1/9 = 1
and 9(x - 2/3)^2 + 1 = 3^2(x - 2/3)^2 + 1
-------------------------> (3(x - 2/3))^2 + 1
-------------------------> (3x - 2)^2 + 1

In 3(b) we know -1 < r < 1 use it, you will get the answer.
 
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