Mathematics: Post your doubts here!

[applepie1996]

http://papers.xtremepapers.com/CIE/Cambridge International A and AS Level/Mathematics (9709)/9709_w07_qp_3.pdf
question 10 part 2
anyone ?
PhyZac

 

[Nurul Huda sabid]

i m doing Cambridge advanced level pure mathematics 2 & 3 by hugh neil douglas quading....... the problem is i lost the answers of chapter 15-Rational function......plz help me!

 

[Scafalon40]

http://papers.xtremepapers.com/CIE/...S Level/Mathematics (9709)/9709_s12_qp_31.pdf
Q3 part (ii) b please!
PhyZac

 

[VelaneDeBeaute]

http://papers.xtremepapers.com/CIE/Cambridge International A and AS Level/Mathematics (9709)/9709_s12_qp_31.pdf
Q3 part (ii) b please!
PhyZac

From the previous part, you have obtained a simplified form of the expression as p(x) = (x-2)(x+2)(x-4)
Since the question now calls for evaluating p(x squared), you just substitute the x in the expression for x squared.
Your expression would become somewhat like this
(I'll be using x2 for x squared)
p(x2) = (x2 -2)(x2 +2)(x2 -4)
Now, you equate them to zero, each of them. You'll obtain six roots, two of which will be imaginary.

 

[Scafalon40]

From the previous part, you have obtained a simplified form of the expression as p(x) = (x-2)(x+2)(x-4)
Since the question now calls for evaluating p(x squared), you just substitute the x in the expression for x squared.
Your expression would become somewhat like this
(I'll be using x2 for x squared)
p(x2) = (x2 -2)(x2 +2)(x2 -4)
Now, you equate them to zero, each of them. You'll obtain six roots, two of which will be imaginary.

Thanks! : )

 

[PhyZac]

http://papers.xtremepapers.com/CIE/Cambridge International A and AS Level/Mathematics (9709)/9709_s12_qp_31.pdf
Q3 part (ii) b please!
PhyZac

Okay, now u have to get a first which is
(x-2)(x-2)(x+4)

Now when p(x^2)=0
therefore
(x^2-2)(x^2-2)(x^2+4)

Use the quadratic formula.
for first root (and second since they are same)
0+/-√0-(4)(1)(-2) / 2
= +/-2√2/2
=+/-√2

and third root
0+/-√0-(4)(1)(4) / 2
+/-4i/2
+/- 2i

 

[sma786]

What equation did we take in Q10, part 2 ?
http://papers.xtremepapers.com/CIE/...AS Level/Mathematics (9709)/9709_s07_qp_1.pdf

 

[PhyZac]

What equation did we take in Q10, part 2 ?
http://papers.xtremepapers.com/CIE/Cambridge International A and AS Level/Mathematics (9709)/9709_s07_qp_1.pdf

for stationary point, take the dy/dx equation and equate to 0.
for nature of stationary point use d2y/dx2 and is -ve number comes means max point if +ve number comes means minimum.

 

[Kumkum]

AOA
can someone plz help me with 10c
http://papers.xtremepapers.com/CIE/Cambridge International A and AS Level/Mathematics (9709)/9709_w09_qp_12.pdf

 

[syed1995]

AOA
can someone plz help me with 10c
http://papers.xtremepapers.com/CIE/Cambridge International A and AS Level/Mathematics (9709)/9709_w09_qp_12.pdf

We take tan inverses of the gradient and subtract them.

tan^-1(m1) - tan^-1(m2) should give you the angle between the lines..

tan^-1(2) - tan^-1(1/2)
gives 36.9 Degrees Angle.

 

[Kumkum]

We take tan inverses of the gradient and subtract them.

tan^-1(m1) - tan^-1(m2) should give you the angle between the lines..

tan^-1(2) - tan^-1(1/2)
gives 36.9 Degrees Angle.

Thank you

 

[zain786]

can you please help me in how to answer questions such as exam 9709/32/O/N10 the question 8 part b

its basically after making partial fractions...expanding it to ascending powers upto x^3 etc

how do you do these? plz help

 

[PhyZac]

http://papers.xtremepapers.com/CIE/Cambridge International A and AS Level/Mathematics (9709)/9709_w07_qp_3.pdf
question 10 part 2
anyone ?
PhyZac

See, can u help me in (a) , i cant use the r-a.n equation , sorry.

for finding angle,
u take normal,
2i−3j+6k
and direction vector,
i − 2j + 2k

take scalar product
2+6+12 = 20

now divide with the mod of both vectors
and u get
20/21

20/21 normally =cos (angle)
but when plane and line
it is=sin (angle)
so sin^-1 (20/21) = 72.2

 

[ElvinJc]

http://papers.xtremepapers.com/CIE/Cambridge International A and AS Level/Mathematics (9709)/9709_w09_qp_32.pdf
can anybody plz tell me how to solve Q2(i)&Q8...

 

[PhyZac]

can you please help me in how to answer questions such as exam 9709/32/O/N10 the question 8 part b

its basically after making partial fractions...expanding it to ascending powers upto x^3 etc

how do you do these? plz help

share link next time plz.


In the formula book u have the formula under binomial expansion

and use this video and then try resolving hope u will get it.
http://www.examsolutions.net/maths-...uences-series/binomial/formula/tutorial-3.php

 

[ElvinJc]

share link next time plz.


In the formula book u have the formula under binomial expansion

and use this video and then try resolving hope u will get it.
http://www.examsolutions.net/maths-...uences-series/binomial/formula/tutorial-3.php

i sorry about that....actually i have tried to solve it....but in Q8(i），my answer is C=-1/3，but the ms is 1/3...and i can‘t find any way to get “-”

 

[PhyZac]

i sorry about that....actually i have tried to solve it....but in Q8(i），my answer is C=-1/3，but the ms is 1/3...and i can‘t find any way to get “-”

I am afraid i am confused.

See, i quoted a post of different member, not u.

And what question are you referring to?

 

[applepie1996]

See, can u help me in (a) , i cant use the r-a.n equation , sorry.

for finding angle,
u take normal,
2i−3j+6k
and direction vector,
i − 2j + 2k

take scalar product
2+6+12 = 20

now divide with the mod of both vectors
and u get
20/21

20/21 normally =cos (angle)
but when plane and line
it is=sin (angle)
so sin^-1 (20/21) = 72.2

SURE
part a right ?

 

[PhyZac]

SURE
part a right ?

Yes part a.....thanks! Jazaki Allah khairan.

 

[Dudu]

http://papers.xtremepapers.com/CIE/...AS Level/Mathematics (9709)/9709_s09_qp_1.pdf

Q)4) help appreciated.


Anyone have trigonometry notes? Clearly my worst topic from P1.