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[CIE] All Pure Mathematics (P1, P2 and P3) doubts here !

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Arthur Bon Zavi:

--- Quote from: $H00t!N& $t@r on May 08, 2011, 03:19:30 pm ---yeah I know that...
 I just wanted to know if the statement "whenever you have a(x + b)^2 + c ... c is always the range" is right or not...

--- End quote ---

Almost all cases. Look for the domain first by the way.

$H00t!N& $t@r:

--- Quote from: Fidato on May 08, 2011, 03:22:27 pm ---Almost all cases. Look for the domain first by the way.

--- End quote ---

ok thanks

$H00t!N& $t@r:

--- Quote from: Vin on May 02, 2011, 01:36:39 pm ---Q6 ii)

y = kx2 +1   &  y = kx

equate the two to get k = 4 (follow up from the previous- but k2 - 4k = 0 )
equate k=4 in kx2 - kx +1 = 0 to get x = 1/2
equate x = 1/2 in one of the equations to get the y coordinate

Q 10

Expressing h in terms of x

Vol = 4 cm3 (given)

vol of object = x * 0.5x * h
4 = 0.5 * h * x^2
Change the sub. of formula to h to get h = 8/x2

Total Surface area (consider each side and add them up to make things easy)

= 2xh + 2*0.5*xh + 0.5 * x* x + 4/5 x * 5/4 x

solve, and substitute h = 8/x2 to get the desired answer.

ii)

dA/ dx = 1.5 * 2 * x + 24 * -1 * * x -1-1

= 3x - 24/x^2

equate this to zero to obtain the stationary point as 2

d2A/ dx2 = 3 - 24 * -2 * x -2-1

= 3 + 48/x^3

equate x =2 to get 9
since 9 > 0, point of minima

--- End quote ---

Thanks a lot Vin  ;D I thought no one replied.

Vin:
No problem ;D

Okay, i have a stupid doubt which i cant waste my time on thinking on much.

http://www.xtremepapers.me/CIE/index.php?dir=International%20A%20And%20AS%20Level/9709%20-%20Mathematics/&file=9709_s09_qp_1.pdf

Q4 part i

-.-

SkyPilotage:

--- Quote from: Vin on May 08, 2011, 04:41:44 pm ---No problem ;D

Okay, i have a stupid doubt which i cant waste my time on thinking on much.

http://www.xtremepapers.me/CIE/index.php?dir=International%20A%20And%20AS%20Level/9709%20-%20Mathematics/&file=9709_s09_qp_1.pdf

Q4 part i

-.-

--- End quote ---
Ahaha it happens....Actually its not stupid :D
-For c:
-----Substitute x=0 to get c=3
-For a:
Remember max value of sinx is 1 and min is -1.. so substitute sin(bx)=1 --->9=a(1)+3---->a=6
-For b:
The graph oh sinx has a whole wave from 0 to 2pi but here there are 2 curves in the domain 0 to pi...Therefore B=2...

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