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Help on maths PAPER 1 please O/N 2008

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i cannot do the O/N 2008 Q5.i)
Its is very strange question. how could i posible find a and b.?? working out needed please :D
 
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q5...

-1<cosx<1
b> -bcosx > -b
a+b > a- bcosx> a-b

if rearrange

a-b<a-bcox<a+b
now

a-b=-2
a+b=10

solve it similtaneously u will get the ans.................
 
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q7 i )

80= perimeter of square +n circle
80=4x+2 pi r
r=(80-4x)/2 pi

A= x^2 + pi r^2
A= x^2 + pi( 80-4x / 2pi)^2

now solve it u will get the given equation...................
 
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intel1993 said:
q5...

-1<cosx<1
b> -bcosx > -b
a+b > a- bcosx> a-b
quote]

dont undersatnd this part :S y did u put -1<cosx<1
and b> -bcosx > -b


and ty !!
 
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as we knoe taht the cos only exist between -1 n 1 so it is its range then......
i tery to make the equation as given.l..
and put -b with cos x due to which signs of inequality changes and further steps given........................
 
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this is th first time i see this type of question. have seen question like this in other past paper??
 
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also im dont mind, could u do the question 9.ii) from the same pastpaper O/N2008 :9
 
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its simple integration............

v= pi y^2
pi integral (3x+1)^2 / 2
then use limit of x frm 0 to 1.....as shown in figure....
calculate the volume under graph...
then minus the volume of cylinder frm the volume calculated..

u will get ur ans..
 
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what volume did u get for volume under the graph?? i got 3pi/2, i think its wrong because i cant get the answer :S
can u also explain the question after it please. i think this is the most dificult pastpaper ive ever done
 

PlanetMaster

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Volume under curve = π ∫(y²); limit 0-1
Volume under curve = π ∫(3x + 1); limit 0-1
Volume under curve = 5π/2

Volume of cylinder = πr²h
Volume of cylinder = π x 2² x 1
Volume of cylinder = 4π

Volume of shaded region = 4π - (5π/2)
Volume of shaded region = 3π/2
 
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anyone know how to do Q10.ii) ?¿?¿?
i got this 6(3x-2) - (3x-2)^2
now i dont know what to do next
 

PlanetMaster

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Multiply the brackets which will make –9x² + 30x –16.
Now differentiate it and at turning point d/dx = 0.
Find a value of x which will be 5/3.
Show that it is maximum by showing (d²/dx²) < 0
Now substitute x back in gf(x) you found earlier (–9x² + 30x –16) to find max value of gf(x)
 
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intel1993 said:
its simple integration............

v= pi y^2
pi integral (3x+1)^2 / 2
then use limit of x frm 0 to 1.....as shown in figure....
calculate the volume under graph...
then minus the volume of cylinder frm the volume calculated..

u will get ur ans..

Can u please elaborate more on your answer coz i can do oly upto here

pi { (3x^2 /2) + (x) }
Can u continue from here
 
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