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Use x0 = π.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]
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))
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????
Oh finally som1 replied.. Thankss dear
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 ??
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
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]
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.
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.
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
Alright dear.. Thanks
x0 is π + 2π/2 = 3/2 πHey 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.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 range is from zero to 90. Are you getting an angle which is greater than 360 degrees? If yes, then subtract it from 360 to get your second angle.
Umm.. ok nyz thanks for ur help
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