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Mathematics: Post your doubts here!

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how to integrate 3y^2/4y^3+1
is it by substituition ?
how do i know which method of integration i should use? really confusing at times :confused:
lol its from nov 2013 cause i just solved this question heres goes the logic:
the differential of the function in denominator is ( 12y^3) it is present in the numerator only 4 is missing so multiply/divide by four forming:
1/4 (ln(4y^3+1) )+c
 
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Please someone help me :)

9709_w05_qp_6 - Q5
9709_s06_qp_6 - Q6 (iii) (why do we add 5th match and 2 teams again) :?

Q6 (iii)
Match 1: 32 teams play
Match 2: 16 teams play
Match 3: 8 teams play
Match 4: 4 teams play
Match 5: 2 teams play

Now look, 2 teams ONLY play 4 matches (Match 1, match 2, match 3, match 4)
And 2 teams play 5 matches (Match 1, match 2, match 3, match 4, match 5)

Do you get it? Ask me if you're still confused.

For Q5 which part are you confused with?
 
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Q6 (iii)
Match 1: 32 teams play
Match 2: 16 teams play
Match 3: 8 teams play
Match 4: 4 teams play
Match 5: 2 teams play

Now look, 2 teams ONLY play 4 matches (Match 1, match 2, match 3, match 4)
And 2 teams play 5 matches (Match 1, match 2, match 3, match 4, match 5)

Do you get it? Ask me if you're still confused.

For Q5 which part are you confused with?
I'm sad to say that I didn't get it :( .. and for Q5 .. I'll be thankfull If you did it fully because It depends on each other
 
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no it isnt :p its confusing to go so downgraded in P1 :p you tend to confuse it with addmaths :p



I am guessing you guys dont have addmaths :p and yeah its not wrong to learn it it saves alot of time you only have simple differential equations or rate of change questions
Ohh i didnt take add maths either :`)
I guess our teacher just made us do it prematurely bcz i did it in AS .... sorry for the hitch people :p I thot i was helping xD
 
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Al salamo 3alayko
I have 2 questions if any anyone could help me :)
1 ) The first term of an arithmetic progression is 8 and the common difference is d, where d ≠ 0. The first
term, the fifth term and the eighth term of this arithmetic progression are the first term, the second
term and the third term, respectively, of a geometric progression whose common ratio is r.
(i) Write down two equations connecting d and r. Hence show that r = 3/4
and find the value of d.
.
.
Question 2)
g : x → 2x-1/x+3
, x ∈ >, x ≠ −3.

(ii) Express g−1(x) in terms of x.
(iii) Show that the equation g−1(x) = x has no solutions.
 
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psychiatrist HOPE YOU CAN READ THE SOLUTIONS :)
ZaqZainab help me and him/her about the questions I had not attempt. :)
Question 11 part ii) ----> Like this 4-3sinx graph plot it :)
screenshot-240-png.40360
 

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