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Mathematics: Post your doubts here!

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http://papers.xtremepapers.com/CIE/Cambridge International A and AS Level/Mathematics (9709)/9709_s11_qp_11.pdf

Someone help with question 1,2,3 PLEASEee. Need someone to show proper workingnot just explain how to do it


Suchal Riaz
AbbbbY
Thought blocker
ZaqZainab
Q1)
You have to find the coff of x in expansion of ((x + (2/x^2))

so when you expand it by formula i.e a^n + (nC1)(a^(n-1))(b)+.......
You will find coff of x when you reach at (7C2)(x^(5))((2/x^2))^(2) than solve it you get coff of x as 84 :)

Q2)
Given ; dv/dt=50, dv/dr = (4pi(10)^2) <-- diff. of volum of sphere, and we have to find dr/dt
so, dr/dt = dr/dv * dv/dt ; here dr/dv = 1/400pi, so dr/dt = 1/400pi * 50 = 50/400pi = 1/8pi

Q3)
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ii)
pi is constant and integrate (x-2)^4 ; formula is pi integration of y^2
so multiply pi with [((x-2)^(5)/5)] limit is 0 to 2
hence solve the equation, you get is 6.4pi.
:)
 
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