HSC 2013 Maths Marathon (archive) (1 Viewer)

Youi_ · Oct 20, 2013

Re: HSC 2013 2U Marathon

Lol Sy has entered the marathon

Menomaths has left the marathon

mahmoudali · Oct 20, 2013

Re: HSC 2013 2U Marathon

menomaths said:
haha

lmfaoooooooooooo

Menomaths · Oct 20, 2013

Re: HSC 2013 2U Marathon

Youi_ said:
Lol Sy has entered the marathon

Menomaths has left the marathon

haha yep

andybandy · Oct 20, 2013

Re: HSC 2013 2U Marathon

<a href="http://www.codecogs.com/eqnedit.php?latex=\textup{Differentiate&space;}&space;\sin^{4}x\textup{&space;+&space;}&space;\sin^{2}x.4x^9" target="_blank"><img src="http://latex.codecogs.com/gif.latex?\textup{Differentiate&space;}&space;\sin^{4}x\textup{&space;+&space;}&space;\sin^{2}x.4x^9" title="\textup{Differentiate } \sin^{4}x\textup{ + } \sin^{2}x.4x^9" /></a>

mahmoudali · Oct 20, 2013

Re: HSC 2013 2U Marathon

andybandy said:
<a href="http://www.codecogs.com/eqnedit.php?latex=\textup{Differentiate&space;}&space;\sin^{4}x\textup{&space;+&space;}&space;\sin^{2}x.4x^9" target="_blank"><img src="http://latex.codecogs.com/gif.latex?\textup{Differentiate&space;}&space;\sin^{4}x\textup{&space;+&space;}&space;\sin^{2}x.4x^9" title="\textup{Differentiate } \sin^{4}x\textup{ + } \sin^{2}x.4x^9" /></a>

$4sin^3 x cosx + 8x^2 sinx cosx + 36x^8 sin^2$ ?

Badsiii · Oct 20, 2013

Re: HSC 2013 2U Marathon

mahmoudali said:
$4sin^3 x cosx + 8x^2 sinx cosx + 36x^8 sin^2$ ?

Correction: 8x^9sinxcosx

Youi_ · Oct 20, 2013

Re: HSC 2013 2U Marathon

andybandy said:
<a href="http://www.codecogs.com/eqnedit.php?latex=\textup{Differentiate&space;}&space;\sin^{4}x\textup{&space;+&space;}&space;\sin^{2}x.4x^9" target="_blank"><img src="http://latex.codecogs.com/gif.latex?\textup{Differentiate&space;}&space;\sin^{4}x\textup{&space;+&space;}&space;\sin^{2}x.4x^9" title="\textup{Differentiate } \sin^{4}x\textup{ + } \sin^{2}x.4x^9" /></a>

$4sin^3 x cosx + 8x^9 sinx cosx + 36x^8 sin^2x$

Youi_ · Oct 20, 2013

Re: HSC 2013 2U Marathon

Badsiii said:
Correction: 8x^9sinxcosx

beat me to it lol

nerdasdasd · Oct 20, 2013

Re: HSC 2013 2U Marathon

Menomaths · Oct 20, 2013

Re: HSC 2013 2U Marathon

a

nerdasdasd · Oct 20, 2013

Re: HSC 2013 2U Marathon

Menomaths said:
a

Yep

Sy123 · Oct 20, 2013

Re: HSC 2013 2U Marathon

$Prove that the volume of a sphere with radius$ \ \ r \ \ $is given by$

$\frac{4\pi r^3}{3}$

Menomaths · Oct 20, 2013

Re: HSC 2013 2U Marathon

nerdasdasd said:
Yep

I never asked for confirmation.

mahmoudali · Oct 20, 2013

Re: HSC 2013 2U Marathon

Sy123 said:
$$Let$ \ \ y=uv \ \ $where$ \ \ u,v \ \ $are functions of$ \ \ x$

$$i) Find an expression for$ \ \ y'', y''', y''''$

$$ii) Expand$ \ \ (1+x)^2, \ (1+x)^3, \ (1+x)^4$

$iii) Notice the pattern and hence find$

$\frac{d^5}{dx^5}(e^{-x} (1+x^2))$

$y=uv \ \ y'=u'v +v'u$

$y''=u''v +2 u'v' +v''u \ \ y'''= u'''v +3u''v' + 3 u'v'' +uv''' \ \ etc$

$(1+x)^2 = 1+2x+x^2 \ \ (1+x)^3= 1+ 3x +3x^2 +x^3 \ \ etc$

$pattern is pascals triangle$

$\therefore \frac{d^5}{dx^5}(e^{-x} (1+x^2)) = -e^{-x} (x^2 +10x +21)$

mahmoudali · Oct 20, 2013

Re: HSC 2013 2U Marathon

Badsiii said:
Correction: 8x^9sinxcosx

sorry was thinking about sys question at the same time

BAAAAADDDDDDDDDDAAAAA..........

ColdLipstick · Oct 20, 2013

Re: HSC 2013 2U Marathon

Another question for you guys.
Goodluck

Badsiii · Oct 20, 2013

Re: HSC 2013 2U Marathon

mahmoudali said:
sorry was thinking about sys question at the same time

BAAAAADDDDDDDDDDAAAAA..........

Shut it

mahmoudali · Oct 20, 2013

Re: HSC 2013 2U Marathon

ColdLipstick said:
Another question for you guys.
Goodluck

nobody answered your first question and i doubt anyone will answer this one, you came to maths scum central

Youi_ · Oct 20, 2013

Re: HSC 2013 2U Marathon

ColdLipstick said:
Another question for you guys.
Goodluck

your questions kill me umm any hints? no clue where to begin

leesh95 · Oct 20, 2013

Re: HSC 2013 2U Marathon

ColdLipstick said:
Another question for you guys.
Goodluck

I have seen a very similar question in a past paper and I have no idea how to answer it...

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