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
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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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