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Aoa wr wb'
Could someone please urgently post some good short notes on vectors??
JazakAllah khair!
Wa laikum as salaam
Might be of help
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Aoa wr wb'
Could someone please urgently post some good short notes on vectors??
JazakAllah khair!
And qn 10 ii of this paper please
http://papers.xtremepapers.com/CIE/Cambridge International A and AS Level/Mathematics (9709)/9709_w12_qp_31.pdf
http://papers.xtremepapers.com/CIE/Cambridge International A and AS Level/Mathematics (9709)/9709_w12_ms_31.pdf
littlecloud11 PhyZac and everyone else doing p3
And qn 10 ii of this paper please
http://papers.xtremepapers.com/CIE/Cambridge International A and AS Level/Mathematics (9709)/9709_w12_qp_31.pdf
http://papers.xtremepapers.com/CIE/Cambridge International A and AS Level/Mathematics (9709)/9709_w12_ms_31.pdf
littlecloud11 PhyZac Esme and everyone else doing p3
how to integrate the first part of question 10..10(i)
http://papers.xtremepapers.com/CIE/Cambridge International A and AS Level/Mathematics (9709)/9709_w11_qp_33.pdf
Thank you so much.i have done only part (i) which I think yu must be stuck in ... if you want othrs tell me ...
yu should know standard Formulas of S.area and Volume of sphere
Although you'd find better luck on the Statistics forum, I'll attempt to solve it tomorrowCAN SOMEONE PLEASE EXPLAIN ME THE ANSWER TO THIS QUESTION
View attachment 26652
IT IS 2012 MAY-JUNE P61 STATISTICS - 9709
QP: http://papers.xtremepapers.com/CIE/Cambridge International A and AS Level/Mathematics (9709)/9709_s12_qp_61.pdf
MS: http://papers.xtremepapers.com/CIE/Cambridge International A and AS Level/Mathematics (9709)/9709_s12_ms_61.pdf
CAN SOMEONE PLEASE EXPLAIN ME THE ANSWER TO THIS QUESTION
View attachment 26652
IT IS 2012 MAY-JUNE P61 STATISTICS - 9709
QP: http://papers.xtremepapers.com/CIE/Cambridge International A and AS Level/Mathematics (9709)/9709_s12_qp_61.pdf
MS: http://papers.xtremepapers.com/CIE/Cambridge International A and AS Level/Mathematics (9709)/9709_s12_ms_61.pdf
I didn't get the part where you diffrentiate y^2+4. PLEASE HELP ME! I'm panicking. I can't get anything through my brain!5) xy dy/dy = y^2 + 4
⌡(y/ y^2 +4) dy = ⌡1/x dx
Diffrentiating y^2+ 4 = 2y
so 1/2⌡2y/y^2 +4 dy = ln x + c
1/2 ln |y^2+4| = lnx +c
when y=0, x= 1
1/2 ln4 = ln1 +c
2*1/2 ln 2 = c
c= ln 2
1/2ln |y^2+4| = lnx +ln2
ln (y^2+4)^1/2 = ln (2x)
cancel ln from both sides
(y^2+4)^1/2 =2x
y^2 = 4x^2 - 4
I didn't get the part where you diffrentiate y^2+4. PLEASE HELP ME! I'm panicking. I can't get anything through my brain!
I GOT IT! THANK YOU SO MUCH! You are my saviour!!5) xy dy/dy = y^2 + 4
⌡(y/ y^2 +4) dy = ⌡1/x dx
Diffrentiating y^2+ 4 = 2y
so 1/2⌡2y/y^2 +4 dy = ln x + c
1/2 ln |y^2+4| = lnx +c
when y=0, x= 1
1/2 ln4 = ln1 +c
2*1/2 ln 2 = c
c= ln 2
1/2ln |y^2+4| = lnx +ln2
ln (y^2+4)^1/2 = ln (2x)
cancel ln from both sides
(y^2+4)^1/2 =2x
y^2 = 4x^2 - 4
We have to differentiate it so we have the numerator as the differentiation of the denominator. so, now we can write it as ln(y^2+4), as when this is differentiated it gives us numerator 2y. And (1/2) is there to balance it!You don't have to differentiate. She shifted the terms so that you have y on one side and x on the other. Then you integrate them both.
The rule he used here is this one :I didn't get the part where you diffrentiate y^2+4. PLEASE HELP ME! I'm panicking. I can't get anything through my brain!
Just a second, it's a long one
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