HSC 2013 Maths Marathon (archive) (3 Viewers)

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...

HSC 2013 Maths Marathon (archive) (3 Viewers)

Member

Member

Exaı̸̸̸̸̸̸̸̸lted Member

Member

Member

Member

Member

Member

Dont.msg.me.about.english

Exaı̸̸̸̸̸̸̸̸lted Member

Dont.msg.me.about.english

This too shall pass

Exaı̸̸̸̸̸̸̸̸lted Member

Member

Member

Member

Member

Member

Member

Member

Users Who Are Viewing This Thread (Users: 0, Guests: 3)