Mathematics: Post your doubts here!

[hm12]

http://www.xtremepapers.com/papers/...S Level/Mathematics (9709)/9709_s10_qp_33.pdf
http://www.xtremepapers.com/papers/...S Level/Mathematics (9709)/9709_s10_ms_33.pdf

question 8 part a how can we verify the roots ??? please show complete steps
same question part b, I have drawn but not sure abt it.. can any one draw it here fr me ????

put the root value in place of x in the equation and solve if both sides are zero means 0=0 then the given root is correct

 

[aliya_zad]

http://www.xtremepapers.com/CIE/International%20A%20And%20AS%20Level/9709%20-%20Mathematics/9709_s08_qp_3.pdf
Can anyone please do the 5th one for me!!
please!!

 

[Aahliya]

Anyone who can solve Q4 (ii) ??
http://www.xtremepapers.com/papers/...S Level/Mathematics (9709)/9709_s10_qp_32.pdf
Q4(ii) The iterative formula
x(n+1) = tan−1[x] + π
can be used to determine the x-coordinate of M. Use this formula to determine the x-coordinate
of M correct to 2 decimal places. Give the result of each iteration to 4 decimal places. [3]

 

[hassam]

after maghrib.,...inshallah will try to anser

 

[hassam]

http://www.xtremepapers.com/papers/...S Level/Mathematics (9709)/9709_s10_qp_33.pdf
http://www.xtremepapers.com/papers/...S Level/Mathematics (9709)/9709_s10_ms_33.pdf

question 8 part a how can we verify the roots ??? please show complete steps
same question part b, I have drawn but not sure abt it.. can any one draw it here fr me ????

instead of x substitute 1+sqrt(3)i.....and it shud equate to 0

 

[Zishi]

Anyone who can solve Q4 (ii) ??
http://www.xtremepapers.com/papers/CIE/Cambridge International A and AS Level/Mathematics (9709)/9709_s10_qp_32.pdf
Q4(ii) The iterative formula
x(n+1) = tan−1[x] + π
can be used to determine the x-coordinate of M. Use this formula to determine the x-coordinate
of M correct to 2 decimal places. Give the result of each iteration to 4 decimal places. [3]

Use x0 = π.
You should be able to do it now.

 

[Aahliya]

fr finding eq. we need to integrate dy/dx so we can get y in terms of x

now fr integrating a fraction of this type we use this formula ............ ( ax + b)^n


(ax + b)^n+1/ (n+1(a)) this is the formula we have to use in this qstn


3(1+2x)^-2+1/(-2+1)(2)

3(1+2x)^-1 /(-2) +c this c is the integration constant U always have to put it when ever U integrate any expresion
3/2(1+2x) +c = y now jxt substitute the value of x and y given in question and find c hope cleaR????

hey friend.. can u pls solve Q.4 (ii) for me.. ?? And if possible do explain me in detail ..

http://www.xtremepapers.com/papers/...S Level/Mathematics (9709)/9709_s10_qp_32.pdf

 

[Aahliya]

Use x0 = π.
You should be able to do it now.

Oh finally som1 replied.. Thankss dear

 

[Aahliya]

Use x0 = π.
You should be able to do it now.

But can u explain me the reason for using π and not 2π ? And do we have to use π in radians or in degrees ??

 

[Zishi]

But can u explain me the reason for using π and not 2π ? And do we have to use π in radians or in degrees ??

You may use either value. Both will give the same answer.

 

[Aahliya]

You may use either value. Both will give the same answer.

To be frank I tried that way as well, but couldn't get the answer.. so if u don't mind can u pls explain me in detail ??

 

[GoodRobot]

Anyone who can solve Q4 (ii) ??
http://www.xtremepapers.com/papers/CIE/Cambridge International A and AS Level/Mathematics (9709)/9709_s10_qp_32.pdf
Q4(ii) The iterative formula
x(n+1) = tan−1[x] + π
can be used to determine the x-coordinate of M. Use this formula to determine the x-coordinate
of M correct to 2 decimal places. Give the result of each iteration to 4 decimal places. [3]

Find x0 by => π + 2π/2 as from the diagram u can see root is between π and 2π.
then put the value in the given iterative formula and continue until u get the right value.Hope that helped !

 

[Zishi]

To be frank I tried that way as well, but couldn't get the answer.. so if u don't mind can u pls explain me in detail ??

From x0, you will get x1 - from x1 you'll get x2 and so on. Keep doing that until you get the answer to 4 decimal places correctly.

 

[Aahliya]

Find x0 by => π + 2π/2 as from the diagram u can see root is between π and 2π.
then put the value in the given iterative formula and continue until u get the right value.Hope that helped !

But the root is not exactly in between.. so how can u use that method ??

 

[Zishi]

But the root is not exactly in between.. so how can u use that method ??

You're right that it's not exactly in between, that's why we're using the iterative formula instead of just taking their midpoint.

 

[Aahliya]

From x0, you will get x1 - from x1 you'll get x2 and so on. Keep doing that until you get the answer to 4 decimal places correctly.

Hey I know how to use the iteration method.. but I m stuck in the initial part where u have to find X0 .. I am not getting the correct value of x0 because of which I am not able to do it further

 

[Aahliya]

You're right that it's not exactly in between, that's why we're using the iterative formula instead of just taking their midpoint.

Alright dear.. Thanks

 

[GoodRobot]

Hey I know how to use the iteration method.. but I m stuck in the initial part where u have to find X0 .. I am not getting the correct value of x0 because of which I am not able to do it further

x0 is π + 2π/2 = 3/2 π

 

[GoodRobot]

please help http://www.xtremepapers.com/papers/...S Level/Mathematics (9709)/9709_w11_qp_32.pdf
Q6(ii)...i am not able to find the 2nd angle.

 

[Zishi]

Hey I know how to use the iteration method.. but I m stuck in the initial part where u have to find X0 .. I am not getting the correct value of x0 because of which I am not able to do it further

The Xo is the initial value, very close to the answer. This can be any close value. That is why you may use either pi or 2pi to get the answer.