Mathematics: Post your doubts here!

[Rutzaba]

http://papers.xtremepapers.com/CIE/Cambridge International A and AS Level/Mathematics (9709)/9709_s11_qp_11.pdf




Please anyone can help me understand q.7 (i) and q.8 in this paper ? will be glad if someone does so ? im confused with the division by 2 after integraqting in part (i) q.7 ?

7 part 1. wen we integrate we divide the whole thing by the differential of the whole thing as well as power

 

[Binyamine]

http://papers.xtremepapers.com/CIE/Cambridge International A and AS Level/Mathematics (9709)/9709_s11_qp_11.pdf




Please anyone can help me understand q.7 (i) and q.8 in this paper ? will be glad if someone does so ? im confused with the division by 2 after integraqting in part (i) q.7 ?

The playlist to all the questions :: http://www.youtube.com/playlist?list=PLOueJSLH9a-Ou-NKegdRhpqCI9cCfu66a

Question 7 ::

Question 8 ::

 

[19islandprincess96]

Aoa! This may be a lame question but how do we solve q1 in Math A lev paper 31. http://papers.xtremepapers.com/CIE/...S Level/Mathematics (9709)/9709_s12_qp_31.pdf
That's the link to the paper. The markscheme says Use correct method for solving equation of form 2^x = a ... how exactly do we do that?

 

[Rutzaba]

Aoa! This may be a lame question but how do we solve q1 in Math A lev paper 31. http://papers.xtremepapers.com/CIE/Cambridge International A and AS Level/Mathematics (9709)/9709_s12_qp_31.pdf
That's the link to the paper. The markscheme says Use correct method for solving equation of form 2^x = a ... how exactly do we do that?

theres a quotation.... the one who asks is a fool for 5 mins... the one who doesnt is a fool for ever.
no Q is lame here

 

[Binyamine]

Aoa! This may be a lame question but how do we solve q1 in Math A lev paper 31. http://papers.xtremepapers.com/CIE/Cambridge International A and AS Level/Mathematics (9709)/9709_s12_qp_31.pdf
That's the link to the paper. The markscheme says Use correct method for solving equation of form 2^x = a ... how exactly do we do that?

Here is the solution to your question. ::

 

[Rutzaba]

sorry that was lame.

here

( 4 - (2^x))= -10
2^x = 14
x= ln 14 divided by ln 2

 

[Rutzaba]

Here is the solution to your question. ::

um you tube wont work in pak

 

[Binyamine]

um you tube wont work in pak

Access it by using tor. Later i would be uploading the pdf solution.

 

[Rutzaba]

Access it by using tor. Later i would be uploading the pdf solution.

ahan. i wud but i dun need solutions. other ppl do.

 

[Binyamine]

Here you are.

 

[Rutzaba]

Here you are.

no actually here others are

 

[19islandprincess96]

theres a quotation.... the one who asks is a fool for 5 mins... the one who doesnt is a fool for ever.
no Q is lame here

Here is the solution to your question. ::

Jizakillah both of you!

 

[salvatore]

http://papers.xtremepapers.com/CIE/...AS Level/Mathematics (9709)/9709_s09_qp_1.pdf
No. 10 (ii)

This question seems easy.. how do you find the value of A? Please help
An explanation will be appreciated..

 

[Binyamine]

http://papers.xtremepapers.com/CIE/Cambridge International A and AS Level/Mathematics (9709)/9709_s09_qp_1.pdf
No. 10 (ii)

This question seems easy.. how do you find the value of A? Please help
An explanation will be appreciated..

Salvatore, for the first part you have completed the square and got answer in this form : 2 ( x -3 ) ^ 2 - 5

So this mean that we have a minimum point when x = 3. The line x=3 acts as a line of symmetry for the quadratic curve. That is a turning point at the point x=3, now since x is greater or equal to zero, this would mean that A should be 6.

If i could have provided you with a sketch or a video, you would have better understood. Hope it help though.

 

[salvatore]

Salvatore, for the first part you have completed the square and got answer in this form : 2 ( x -3 ) ^ 2 - 5

So this mean that we have a minimum point when x = 3. The line x=3 acts as a line of symmetry for the quadratic curve. That is a turning point at the point x=3, now since x is greater or equal to zero, this would mean that A should be 6.

If i could have provided you with a sketch or a video, you would have better understood. Hope it help though.

Thank you for your reply..

I understand that the line x=3 acts as a line of symmetry since it is the turning point.. but I don't get why A is 6 (If x >= 0). Could you please explain that?

Along with the above, I also need help in qn 10 (v) and 11 (iii).. please please help me solve the questions with some explanation.
I'll really appreciate if you could do that for me.

Thanks a lot
Waiting for your reply..

 

[Muhammad TAimoor]

Whats the difference between permutations and combinations? Need urgent help, paper's tomorrow.

 

[Binyamine]

Whats the difference between permutations and combinations? Need urgent help, paper's tomorrow.

For Permutation, Order is important while for combination Order is not.

 

[Muhammad TAimoor]

Ok so taking A B C D as an example, what will be the combination taking three ata time?

 

[Binyamine]

Thank you for your reply..

I understand that the line x=3 acts as a line of symmetry since it is the turning point.. but I don't get why A is 6 (If x >= 0). Could you please explain that?

Along with the above, I also need help in qn 10 (v) and 11 (iii).. please please help me solve the questions with some explanation.
I'll really appreciate if you could do that for me.

Thanks a lot
Waiting for your reply..

Try to list down the values in a table

x 0 1 2 3 4 5 6 7 8

y 13 3 -3 -5 -3 3 13
[Line of Symmetry]

Can you visualise it...?

10 (iv) it has an inverse because it is 1-1

10 (v) Let g(x) = y
we should take the completed form so that x is able to be made subject of formula

2 ( x - 3 ) ^ 2 - 5 = y

2 ( x - 3 ) ^ 2 = y + 5

( x - 3 ) ^ 2 = ( (y+5) / 2 )

( x - 3 ) = PlusMinus Square Root of ( (y+5) / 2 )

x = 3 PlusMinus Square Root of ( (y+5) / 2 )

Now we have to choose either the plus sign or the minus sign. Since the domain is greater than 4 we choose the "plus" sign.

Hence g inverse of x = 3 + ( ( x + 5 ) /2 ) ^ (1/2)

 

[Binyamine]

Ok so taking A B C D as an example, what will be the combination taking three ata time?

Combination would be 4 C 3 = 4

Listing : A B C or A C D or A B D or B C D

While if we had to permute, or question was in how many ways can three letters of the word " BACD" can be arranged, the answer would be 4 P 3 ( permutating 3 from 4 ) = 24

Listing

A B C or A C D or A B D or B C D and all these ; each have 3! ways of writing them i.e 4 * 3 ! = 24