- Messages
- 681
- Reaction score
- 438
- Points
- 73
T
Thank you very much for the effort, I appreciate it and will pray for you.
I just realised I had copied the question wrong(taken the x^3 as x^2). lol.
You're welcome
Haha I hate when that happens
We are currently struggling to cover the operational costs of Xtremepapers, as a result we might have to shut this website down. Please donate if we have helped you and help make a difference in other students' lives!
Click here to Donate Now (View Announcement)
T
Thank you very much for the effort, I appreciate it and will pray for you.
I just realised I had copied the question wrong(taken the x^3 as x^2). lol.
what is the gradient of the curve when it is parallel to the x-axis and also what is the gradient of the curve when it is parallel to the y-axis ?
what is the gradient of the curve when it is parallel to the x-axis and also what is the gradient of the curve when it is parallel to the y-axis ?
yeah what u said is right because now the question makes sense..thank u!!Hold on.. you mean the tangent to the curve is parallel to the x- or y-axis, right ?
yeah what u said is right because now the question makes sense..thank u!!
oh yeah sorry my bad i meant tangent :$You're welcome. Actually i got confused cuz you said the curve is parallel to the x-axis, which isn't possible. So you probably were talking about the tangent
See..for Q3 ii) check the upload pic to imagine ithttp://papers.xtremepapers.com/CIE/Cambridge International A and AS Level/Mathematics (9709)/9709_w09_qp_61.pdf
Please help me asap. PhyZac Q3 ii) Why do we take for short interval X<a , and for long interval X>a...Why can't we do vice versa.
And also, Q5 a (ii)
Jazak Allah khair!
Cheers!
Jazak Allah Khair!! Thanks a ton. May allah grant you success!
a bit absurd question it is, but why do u multiply a '1' in there?!This is not technically a permutation question since it won't require the P...
5000 and 6000 .. meaning it's a four digit number which starts with a 5.
so first number is 5.. that's a given.
5 _ _ _
Now since repetition is allowed..
the next 3 numbers can be anything from 1,2,3,4,5,6
meaning it can be 5555 5432 or 5646 .. all are possible.
so 6 choices for all the 3 other spaces..
meaning it becomes
1 * 6 * 6 * 6... = 1*6^3
nevermind anymore about question 2..i only need question 6 the diff equationquestion 2 also of the same paper arghhh !!
http://papers.xtremepapers.com/CIE/Cambridge International A and AS Level/Mathematics (9709)/9709_w12_qp_31.pdf
xdy/dx=1-y^2nevermind anymore about question 2..i only need question 6 the diff equation
a bit absurd question it is, but why do u multiply a '1' in there?!
Jazak Allah khair !
the key to the 8 marks is all in this point "P.S (1-y^2) is in the form a^2 - b^2 which is nothing but (a+b)(a-b)(remember??!)" -_- thanksss i got it now !!xdy/dx=1-y^2
rearrange so that all the x terms are at one side and y terms at the other.
so.... 1/(1-y^2) dy = 1/x dx
Now integrate both the sides,
$-sign for integration
$ 1/(1-y^2) dy = $1/x dx
P.S (1-y^2) is in the form a^2 - b^2 which is nothing but (a+b)(a-b)(remember??!)
so in order to integrate expressions like $1/a^2 - b^2 = [ 1/2a* ln(a+b/a-b)] (memorise this)
Therefore,
continuing with the integration,
$ 1/(1-y^2) dy = $1/x dx
[1/2*1 * ln(1+y/1-y)] = lnx +K where K is the common constant!
You're given: x=2, y=0
so put those in the eqn:
1/2 * ln (1+0/1-0) = ln2 +K
ln(1) is '0'.
therefore, K+ln2 = 0
K= -ln2 D
Now get the eqn
1/2 * ln(1+y/1-y) =lnx -ln2
1/2 * ln(1+y/1-y) -lnx + ln2 = 0
There u gooo!!
I hope u got it!! it can be easy...if u didnt understand then refer to the website i posted! u'll get it forever stuck in ur mind!!
Cheers!
hahaah...u know that integration technique/point, i found it in some other book....it wasnt there in mine or maybe i did not check...hahah but learn that...i came across a similar question in o/n 2008... this was still simple!!the key to the 8 marks is all in this point "P.S (1-y^2) is in the form a^2 - b^2 which is nothing but (a+b)(a-b)(remember??!)" -_- thanksss i got it now !!
For almost 10 years, the site XtremePapers has been trying very hard to serve its users.
However, we are now struggling to cover its operational costs due to unforeseen circumstances. If we helped you in any way, kindly contribute and be the part of this effort. No act of kindness, no matter how small, is ever wasted.
Click here to Donate Now