Mathematics: Post your doubts here!

[miss irfan]

how did you find the radius?

oh i got it! thanks

 

[smzimran]

how did you find the radius?

w to w^2 is the diameter
find the length of the diameter and divide it by 2
Thats what I did, check!

 

[hm12]

prove the identity cos 4theeta -4cos 2theeta+3=8sin^4theeta

 

[aliya_zad]

View attachment 9591

Thank you So Much!!!!!!!!!!!!!!

If possible can u help me with my May june 2008 doubts..on Argand diagrams
http://www.xtremepapers.com/CIE/International A And AS Level/9709 - Mathematics/9709_s08_qp_3.pdfPlease help me with the 8th one..part 1 and the 5th one part 2!!!!!
Please!!

 

[miss irfan]

https://docs.google.com/viewer?a=v&...h5Lf5D&sig=AHIEtbTfFEbI3bmoyd0Wnx3O3bppOVsZ_w

Q10

 

[reina81]

in ON11 P31, Q1, we found x using 'ln'. What i want to know is if there is a constant on one side do i take it as ln3 or lne^3, In this question they took ln3 while in other questions for eg, differential equations we take it as lne^3. Please Help.


http://www.xtremepapers.com/papers/...S Level/Mathematics (9709)/9709_w11_qp_31.pdf
http://www.xtremepapers.com/papers/...S Level/Mathematics (9709)/9709_w11_ms_31.pdf

 

[miss irfan]

https://docs.google.com/viewer?a=v&q=cachel5TBi4TmzcJ:www.xtremepapers.com/papers/CIE/Cambridge%20International%20A%20and%20AS%20Level/Mathematics%20(9709)/9709_w11_qp_33.pdf november 2011 paper 33 9709&hl=en&gl=pk&pid=bl&srcid=ADGEESjynU7l4xl4mks2Y9oAnb1ghOQR75yUtAXuiAgJKP_3ljz5gDqaCPFYXCpxIS64HCC4oTVS4IwZIOBFrPlov_GWo38j47c-BwVoNuC1LpcY83kSTKful1Zt-ubLe1vbidh5Lf5D&sig=AHIEtbTfFEbI3bmoyd0Wnx3O3bppOVsZ_w

Q10

https://docs.google.com/viewer?a=v&...CXzCWJ&sig=AHIEtbQW9r4rGSvIB6Smh2zVdNIaS7iw2Q

 

[smzimran]

Thank you So Much!!!!!!!!!!!!!!

If possible can u help me with my May june 2008 doubts..on Argand diagrams
http://www.xtremepapers.com/CIE/International A And AS Level/9709 - Mathematics/9709_s08_qp_3.pdfPlease help me with the 8th one..part 1 and the 5th one part 2!!!!!
Please!!

Q8(i) I have done this before in this thread, search

Q5(ii)
Multiply by conjugate of z + 2 - i
The conjugate is z + 2 + i


Btw, attach the links to the m.s as well!

 

[smzimran]

in ON11 P31, Q1, we found x using 'ln'. What i want to know is if there is a constant on one side do i take it as ln3 or lne^3, In this question they took ln3 while in other questions for eg, differential equations we take it as lne^3. Please Help.

Post the links!

 

[smzimran]

https://docs.google.com/viewer?a=v&q=cachel5TBi4TmzcJ:www.xtremepapers.com/papers/CIE/Cambridge%20International%20A%20and%20AS%20Level/Mathematics%20(9709)/9709_w11_qp_33.pdf november 2011 paper 33 9709&hl=en&gl=pk&pid=bl&srcid=ADGEESjynU7l4xl4mks2Y9oAnb1ghOQR75yUtAXuiAgJKP_3ljz5gDqaCPFYXCpxIS64HCC4oTVS4IwZIOBFrPlov_GWo38j47c-BwVoNuC1LpcY83kSTKful1Zt-ubLe1vbidh5Lf5D&sig=AHIEtbTfFEbI3bmoyd0Wnx3O3bppOVsZ_w

Q10

This question, how can i solve it here means writing the powers down and all not too much symbols or space!

 

[reina81]

Post the links!

oh so sorry. here it is
http://www.xtremepapers.com/papers/...S Level/Mathematics (9709)/9709_w11_qp_31.pdf
http://www.xtremepapers.com/papers/...S Level/Mathematics (9709)/9709_w11_ms_31.pdf

 

[miss irfan]

This question, how can i solve it here means writing the powers down and all not too much symbols or space!

is it possible for you to post the solution? or if you could tell the steps?

 

[smzimran]

is it possible for you to post the solution? or if you could tell the steps?

Wait i'll tell you in afternoon after i solve this paper myself!

 

[hm12]

http://www.xtremepapers.com/papers/...S Level/Mathematics (9709)/9709_w09_qp_31.pdf
please solve question 5 part (i)

 

[farrukh]

Please help me in the third part. How can we solve it without using the formula..Thanks

 

[user]

smzimran Assalamoalaikum wr wb!

I need help with the last part of the last question of Nov:2011 # 3

mark scheme

I do know how to do it...but i cant seem to get the answer...!

it's like we take the root of − 2 ± 2 root 3i

how i do is...equate that to (a + bi)^2 but..if we simplify...i get a^2 + b^2 = -2.....and this cant be solved...ms uses a^2 - b^2.....can u tell me when exactly do we use '-' b^2 ?

 

[smzimran]

oh so sorry. here it is
http://www.xtremepapers.com/papers/CIE/Cambridge International A and AS Level/Mathematics (9709)/9709_w11_qp_31.pdf
http://www.xtremepapers.com/papers/CIE/Cambridge International A and AS Level/Mathematics (9709)/9709_w11_ms_31.pdf

e^x = 1 + 6e^−x
Using u = e^x
The equation becomes
u = 1 + 6/u
u^2 = u + 6
u^2 - u - 6 = 0
(u+2)(u-3) = 0
u = -2 or u = 3
e^x = -2
This cannot be solved as ln or lg of a negative number is undefined!

The only solution is
e^x = 3
x = ln3 / lne
x = ln3
x = 1.10

We take lne^x
but according to power rule, the power becomes coefficient
so lne^x = xlne
and lne = 1
so
xlne = x

See the notes i posted on logs above !

 

[RGBM211]

http://www.xtremepapers.com/papers/...S Level/Mathematics (9709)/9709_s11_qp_31.pdf
http://www.xtremepapers.com/papers/...S Level/Mathematics (9709)/9709_s11_ms_31.pdf

can someone do no.6 mmm confused

 

[miss irfan]

Wait i'll tell you in afternoon after i solve this paper myself!

i have almost done it, but i just don't know how to remover "x" from the differential and put u into it. the differential is sec^2x and we have to use substitution u=tanx. du/dx is sec^2x but how can i just remove 'X" and replace it with U"?

 

[2pac]

e^x = 1 + 6e^−x
Using u = e^x
The equation becomes
u = 1 + 6/u
u^2 = u + 6
u^2 - u - 6 = 0
(u+2)(u-3) = 0
u = -2 or u = 3
e^x = -2
This cannot be solved as ln or lg of a negative number is undefined!

The only solution is
e^x = 3
x = ln3 / lne
x = ln3
x = 1.10

We take lne^x
but according to power rule, the power becomes coefficient
so lne^x = xlne
and lne = 1
so
xlne = x

See the notes i posted on logs above !

hey could you please help me with my doubt.I've posted it twice here but haven't gotten any reply.Since you've been helping a lot of people,I am asking you.
http://www.xtremepapers.com/papers/CIE/Cambridge International A and AS Level/Mathematics (9709)/9709_w11_ms_32.pdf
On a sketch of an Argand diagram, shade the region whose points represent the complex numbers z which satisfy the inequality |z − 3i | ≤ 2. Find the greatest value of arg z for points in this region.
The question asks about greatest value of argument,sadly I don't even know the least argument value so could you just explain it to me or better if you are of any links,will u let me know?
Please do reply soon.thanks