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Mathematics: Post your doubts here!

Rutzaba

Rutzaba

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Faaiz Haque said:
Question 5 whole question
http://papers.xtremepapers.com/CIE/Cambridge International A and AS Level/Mathematics (9709)/9709_s10_qp_11.pdf

Full working please
Click to expand...
simple
a)
you integrate the dy/dx you will get
integral of 3x^0.5 -6
y=2x^1.5 -6x +c
put value of x and y that is given 9 and 2
2=2(9)^.5 -6(9) +c
2=54 -54 +c
c=2
putting values back ul get
y=2x^1.5 -6x +2

b) stationary point means at dy/dx =0
you differentiate the eq of curve that u have just made

2x^1.5 -6x +2=0
u will get
3x^0.5 -6+0=0
x^0.5=6/3
x^0.5= 2
x=4
to check the nature
d²y/dx²= differentiate this
3x^0.5-6
you have 1.5x^-0.5
put value of x-4
1.5(4^-0.5)
you 0.75 >0
thus its minimum....
 
F

Faaiz Haque

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Rutzaba said:
simple
a)
you integrate the dy/dx you will get
integral of 3x^0.5 -6
y=2x^1.5 -6x +c
put value of x and y that is given 9 and 2
2=2(9)^.5 -6(9) +c
2=54 -54 +c
c=2
putting values back ul get
y=2x^1.5 -6x +2

b) stationary point means at dy/dx =0
you differentiate the eq of curve that u have just made

2x^1.5 -6x +2=0
u will get
3x^0.5 -6+0=0
x^0.5=6/3
x^0.5= 2
x=4
to check the nature
d²y/dx²= differentiate this
3x^0.5-6
you have 1.5x^-0.5
put value of x-4
1.5(4^-0.5)
you 0.75 >0
thus its minimum....
Click to expand...
I said question 5 .. o_O
 
GCE As and a level

GCE As and a level

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hey guys
how are u all ?
solve as much as u can, even if only one question !! :)
i need a help in
1)
http://papers.xtremepapers.com/CIE/Cambridge%20International%20A%20and%20AS%20Level/Mathematics%20(9709)/9709_w12_qp_12.pdf

Q4 all
Q6 ii)
Q7 ii)
Q8 all
Q10 ii)
Q11 all


2)
http://papers.xtremepapers.com/CIE/Cambridge%20International%20A%20and%20AS%20Level/Mathematics%20(9709)/9709_s12_qp_12.pdf

Q7 a)

3)
http://papers.xtremepapers.com/CIE/Cambridge%20International%20A%20and%20AS%20Level/Mathematics%20(9709)/9709_s09_qp_1.pdf

Q2 all
Q10 iii)


4)
http://papers.xtremepapers.com/CIE/Cambridge%20International%20A%20and%20AS%20Level/Mathematics%20(9709)/9709_S08_qp_01.pdf

Q5 all
Q6 ii) Domain __ explain it plz


5)
http://papers.xtremepapers.com/CIE/Cambridge%20International%20A%20and%20AS%20Level/Mathematics%20(9709)/9709_w08_qp_1.pdf

Q5 all
Q6 all
Q9 ii) and iii)
Q10 ii) and iii) and iv)


6)
http://papers.xtremepapers.com/CIE/Cambridge%20International%20A%20and%20AS%20Level/Mathematics%20(9709)/9709_s07_qp_1.pdf

Q4 all
Q5 all
Q8 ii)
Q10 ii)
Q11 ii)

7)
http://papers.xtremepapers.com/CIE/Cambridge%20International%20A%20and%20AS%20Level/Mathematics%20(9709)/9709_w07_qp_1.pdf

Q11 v)

8)
http://papers.xtremepapers.com/CIE/Cambridge%20International%20A%20and%20AS%20Level/Mathematics%20(9709)/9709_w06_qp_1.pdf

Q10 v)


9)
http://papers.xtremepapers.com/CIE/Cambridge%20International%20A%20and%20AS%20Level/Mathematics%20(9709)/9709_s12_qp_13.pdf

Q1 all
Q4 all
Q11 iii)

I really need your help :)
waiting your help
thanks in advance
wish u all good luck
:)
 
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