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Mathematics: Post your doubts here!

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How to continue further from here ? : (may be something very basic...... but its not coming into ma mind right now :\ )

View attachment 26601

its q4 of http://papers.xtremepapers.com/CIE/Cambridge International A and AS Level/Mathematics (9709)/9709_w12_qp_33.pdf

Rutzaba
Esme
applepie1996

or anyone ?

=
How to continue further from here ? : (may be something very basic...... but its not coming into ma mind right now :\ )

View attachment 26601

its q4 of http://papers.xtremepapers.com/CIE/Cambridge International A and AS Level/Mathematics (9709)/9709_w12_qp_33.pdf

Rutzaba
Esme
applepie1996

or anyone ?
convert everything to ln
lny= ln(x^2 +4)^3 +ln32 -ln4^3
got it?
 
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tumblr_inline_mn0a4mmIGQ1qz4rgp.jpg


Sorry i skipped the part where i got the limits.. you just substitute x = 5 and x = 2 in u = sqrt (6- x) to get 2 and 1 respectively, but since they asked us to flip the limits, we multiply the entire integrand by -1 thus getting rid of the - 10 u !!
Good luck!
 
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Hello , is there any kind soul out there who can help me with Q7 (ii) ? I don't know how to solve it. 9709_s11_qp_32
Hello. I solved it long ago, and i'm checking my copybook, I hope you solved part (i) correctly.. when you sketch it, you have the angle and the opposite side is (10/a^2 +4) and the adjacent side is (5a/a^2 + 4) so to find the tan of the angle which they provided, you need to write tan(3pi/4) = opp/adj
This gives : tan (3pi/4) = 10/5a
[shift] tan(3pi/4) = 10/5a
-1 = 10/5a
a= -2
Good luck!!
 
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tumblr_inline_mn0a4mmIGQ1qz4rgp.jpg


Sorry i skipped the part where i got the limits.. you just substitute x = 5 and x = 2 in u = sqrt (6- x) to get 2 and 1 respectively, but since they asked us to flip the limits, we multiply the entire integrand by -1 thus getting rid of the - 10 u !!
Good luck!

So after we integrate this completely, we still have to multiply the -1 at the end, right?
 
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Hello. I solved it long ago, and i'm checking my copybook, I hope you solved part (i) correctly.. when you sketch it, you have the angle and the opposite side is (10/a^2 +4) and the adjacent side is (5a/a^2 + 4) so to find the tan of the angle which they provided, you need to write tan(3pi/4) = opp/adj
This gives : tan (3pi/4) = 10/5a
[shift] tan(3pi/4) = 10/5a
-1 = 10/5a
a= -2
Good luck!!

Thank youu!! I confused the tangent formula with the distance formula. I must be really sleepy now. But thanks to you I got it now! =)
 
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