HSC 2014 Maths Marathon (archive) (1 Viewer)

[hi im trash]

Re: HSC 2014 2U Marathon

(If you're a 4U student, please refrain from answering questions in this thread, instead try to give questions)

i) For Linear functions, trapezoid rule
ii) simpsons rule

reasoning: trapezoid rule works in a way that it seperates the function into different shapes with a line at the end (not at the x axis). simpsons rule is similar, except at the end of the shape its curved, similar to a parabola.

 

[dunjaaa]

Re: HSC 2014 2U Marathon

bump, was going to generalise the question but that's a bit too harsh

 

[aDimitri]

Re: HSC 2014 2U Marathon

Tsk tsk tsk

i was unaware this was 2u

 

[Sy123]

Re: HSC 2014 2U Marathon

i was unaware this was 2u

Yes it is 2U

 

[Sy123]

Re: HSC 2014 2U Marathon

 

[Rhinoz8142]

Re: HSC 2014 2U Marathon

Now if I did this in the exam.. Would I loose marks ?

 

[photastic]

Re: HSC 2014 2U Marathon

i) x=1/2, y=-1, z=1/2

ii) from part i), a=1/2, b=-1, c=1/2
It's the same question but different smell.

iii) ln(2/3)

Whoops replace 1/2(x+3) with 1/2ln(x+3) in the second line

 

[photastic]

Re: HSC 2014 2U Marathon

Not a hard question but a good question to improve your skills with fractions and selection.

 

[hi im trash]

Re: HSC 2014 2U Marathon

Not a hard question but a good question to improve your skills with fractions and selection.

cbb typing all the working, but with expanding, seperating the numbers you get something like:
1+(3-2x)/(x-1)^2 --> 1-(2x-2)/(x-2)^2+1/(x-1)^2 --> 1-2(1/x-1)+(x-1)^-2
through integrating normally x-2ln(x-1)-(x-1)^-1 and then you sub in x = 10 and 2 for the integral limits and times everything by pi and you get pi(80/9 - ln81)

 

[integral95]

Re: HSC 2014 2U Marathon

Let's step the level down so that everyone has a chance

 

[randomly_generated]

Re: HSC 2014 2U Marathon

use matrices

not evaluated fully

 

[randomly_generated]

Re: HSC 2014 2U Marathon

nice easy 2U question:

 

[integral95]

Re: HSC 2014 2U Marathon

not evaluated fully

It's cos i ceebs but ok it's

 

[photastic]

Re: HSC 2014 2U Marathon

nice easy 2U question:

 

[mreditor16]

Re: HSC 2014 2U Marathon

next one (From a past 2u trial paper)


upload img

 

[mreditor16]

Re: HSC 2014 2U Marathon

63/2 (1/root 2 +1 + 1/8 +root 63)

idk where my calculator is LOL

full working out?

 

[Sy123]

Re: HSC 2014 2U Marathon

I've done this question before, is it from a James Ruse or CSSA trial?

Find first term by substituting 1. Then find the last term by substituting 63. Apply to the sum of an AP formula n/2 (a + l) wooo

dafuq

 

[mreditor16]

Re: HSC 2014 2U Marathon

dafuq

yeh this. HPF, that is not the right way and iirc not the correct answer either. sorry :/

 

[Stygian]

Re: HSC 2014 2U Marathon

I've done this question before, is it from a James Ruse or CSSA trial?

Find first term by substituting 1. Then find the last term by substituting 63. Apply to the sum of an AP formula n/2 (a + l) wooo

are you sure it is an arithmetic sequence?

 

[photastic]

Re: HSC 2014 2U Marathon

next one (From a past 2u trial paper)


upload img

You'll realise magic happens and things cancel out