• Congratulations to the Class of 2024 on your results!
    Let us know how you went here
    Got a question about your uni preferences? Ask us here

HSC 2012 MX1 Marathon #1 (archive) (2 Viewers)

Sidekickk

Member
Joined
Feb 21, 2012
Messages
73
Gender
Male
HSC
2012
Re: 2012 HSC MX1 Marathon

Differentiate y=3sqrroot2 using the First Principles method.
Hey, there's something i can do in this thread lol.

Answer: 1!!

i am a beast

Edit: oops. i got it wrong. its 0 :/
 

Examine

same
Joined
Dec 14, 2011
Messages
2,376
Gender
Undisclosed
HSC
2013
Re: 2012 HSC MX1 Marathon

Differentiate with respect to x to the following

(x-3) sqrroot(x-1)
 

deswa1

Well-Known Member
Joined
Jul 12, 2011
Messages
2,256
Gender
Male
HSC
2012
Re: 2012 HSC MX1 Marathon

Differentiate with respect to x to the following

(x-3) sqrroot(x-1)
<a href="http://www.codecogs.com/eqnedit.php?latex=\frac{3x-5}{2\sqrt{x-1}}" target="_blank"><img src="http://latex.codecogs.com/gif.latex?\frac{3x-5}{2\sqrt{x-1}}" title="\frac{3x-5}{2\sqrt{x-1}}" /></a>

A question from our 3U test today: Prove using calculus that the shortest diagonal of a rectangle occurs when the rectangle is a square.
 

seanieg89

Well-Known Member
Joined
Aug 8, 2006
Messages
2,662
Gender
Male
HSC
2007
Re: 2012 HSC MX1 Marathon

<a href="http://www.codecogs.com/eqnedit.php?latex=\frac{3x-5}{2\sqrt{x-1}}" target="_blank"><img src="http://latex.codecogs.com/gif.latex?\frac{3x-5}{2\sqrt{x-1}}" title="\frac{3x-5}{2\sqrt{x-1}}" /></a>

A question from our 3U test today: Prove using calculus that the shortest diagonal of a rectangle occurs when the rectangle is a square.
For this question to make sense you also need to stipulate that the collection of rectangles you are looking at has fixed area or fixed perimeter (either will do).

As stated, there is no rectangle with shortest diagonal length as one can simply draw a smaller rectangle...
 

deswa1

Well-Known Member
Joined
Jul 12, 2011
Messages
2,256
Gender
Male
HSC
2012
Re: 2012 HSC MX1 Marathon

For this question to make sense you also need to stipulate that the collection of rectangles you are looking at has fixed area or fixed perimeter (either will do).

As stated, there is no rectangle with shortest diagonal length as one can simply draw a smaller rectangle...
Whoops my bad. There is a fixed perimeter.
 

Shadowless

Member
Joined
May 3, 2010
Messages
342
Gender
Male
HSC
2012
Re: 2012 HSC MX1 Marathon

MATHS.png

BTW: How do you get integral symbols and fractions INTO YOUR POST?
 

Users Who Are Viewing This Thread (Users: 0, Guests: 2)

Top