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April 20, 2024, 01:20:14 pm

Poll

which trial exam do you reckon is the most challenging?

itute
4 (22.2%)
neap
0 (0%)
heffernan
0 (0%)
MAV
1 (5.6%)
kilbaha
5 (27.8%)
insight
0 (0%)
tsfx
5 (27.8%)
iartv
1 (5.6%)
tssm
0 (0%)
all too easy
2 (11.1%)

Total Members Voted: 16

Voting closed: November 22, 2007, 09:06:39 pm

Author Topic: trial exams??  (Read 8277 times)  Share 

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joechan521

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« on: November 02, 2007, 09:06:39 pm »
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which one do you reckon is the most challenging?
?
?
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avogarbro

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« Reply #1 on: November 02, 2007, 09:09:11 pm »
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kilbaha

joechan521

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« Reply #2 on: November 02, 2007, 09:12:32 pm »
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i found itutes questions are non-relevant
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BenBenMan

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« Reply #3 on: November 02, 2007, 09:25:06 pm »
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TSSM is testing but okay except for this one question:

Quote
Question 8
Use the change of variable u=sin(3x) to evaluate the integral of dx / cos(3x). Express your answer in the form a ln f(x) + C


This isn't supposed to be an easy question is it? It's still got me screwed :P

Markos

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« Reply #4 on: November 02, 2007, 09:34:38 pm »
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I tried the iTute exams and many of the questions I'd never covered before. Even my teacher had trouble with it

Ahmad

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« Reply #5 on: November 02, 2007, 09:39:20 pm »
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Quote from: "BenBenMan"
TSSM is testing but okay except for this one question:

Quote
Question 8
Use the change of variable u=sin(3x) to evaluate the integral of dx / cos(3x). Express your answer in the form a ln f(x) + C


This isn't supposed to be an easy question is it? It's still got me screwed :P


Although I could quote that integral from memory (I don't encourage memorising..), you can solve it by noticing that you can transform it into an integral in the form 1/(1 - u^2) which can be solved by partial fractions.
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bilgia

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« Reply #6 on: November 02, 2007, 09:40:40 pm »
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tsfx ones are long and tough at the same time...not much room for mistakes..
they tend to drag out questions way too far and end up screwing over people who haventt made it past part c)
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bilgia

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« Reply #7 on: November 02, 2007, 09:43:53 pm »
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Quote from: "Ahmad"
Quote from: "BenBenMan"
TSSM is testing but okay except for this one question:

Quote
Question 8
Use the change of variable u=sin(3x) to evaluate the integral of dx / cos(3x). Express your answer in the form a ln f(x) + C


This isn't supposed to be an easy question is it? It's still got me screwed :P


Although I could quote that integral from memory (I don't encourage memorising..), you can solve it by noticing that you can transform it into an integral in the form 1/(1 - u^2) which can be solved by partial fractions.


that is interesting...but yeah i arrived at that stage as well and wondered wat the....
My Subjects:
2006 I.T Systems --> 42
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ENTER: 97.35


                   



 

joechan521

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« Reply #8 on: November 02, 2007, 09:44:39 pm »
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Quote from: "Ahmad"
Quote from: "BenBenMan"
TSSM is testing but okay except for this one question:

Quote
Question 8
Use the change of variable u=sin(3x) to evaluate the integral of dx / cos(3x). Express your answer in the form a ln f(x) + C


This isn't supposed to be an easy question is it? It's still got me screwed :P


Although I could quote that integral from memory (I don't encourage memorising..), you can solve it by noticing that you can transform it into an integral in the form 1/(1 - u^2) which can be solved by partial fractions.



 1 / cos(3x) need to be changed to cos(3x)/cos^2(3x)

and get to
the form 3/(1 - u^2)  

then  u can solve it easily.
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Ahmad

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« Reply #9 on: November 02, 2007, 09:46:03 pm »
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Yep. That was my suggestion. :)
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joechan521

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« Reply #10 on: November 02, 2007, 09:50:40 pm »
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those are fun anti-s to try:

1/(1+x^3)



1/sqrt(1+x^2)
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Ahmad

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« Reply #11 on: November 02, 2007, 09:53:33 pm »
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First is partial fractions.

Second is inverse sinh i.e. log[sqrt[1+x^2]+x] if i recall correctly

I have a pretty fun one in the univ maths section, be sure to check out :)
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joechan521

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« Reply #12 on: November 02, 2007, 09:59:35 pm »
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Quote from: "Ahmad"
First is partial fractions.

Second is inverse sinh i.e. log[sqrt[1+x^2]+x] if i recall correctly

I have a pretty fun one in the univ maths section, be sure to check out :)


i dont think 2nd is inverse sin? how come i got differently
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Ahmad

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« Reply #13 on: November 02, 2007, 10:01:25 pm »
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You misinterpreted me. I wrote inverse sinh. That's inverse hyperbolic sine
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joechan521

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« Reply #14 on: November 02, 2007, 10:06:27 pm »
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Quote from: "Ahmad"
You misinterpreted me. I wrote inverse sinh. That's inverse hyperbolic sine


right.... no idea what it is lol... i dont expect thats specialist knowledge?
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