Login

Welcome, Guest. Please login or register.

June 17, 2024, 06:45:03 am

Author Topic: 'An' Antiderivative?  (Read 4117 times)  Share 

0 Members and 2 Guests are viewing this topic.

Chocolate01

  • Victorian
  • Forum Regular
  • **
  • Posts: 84
  • Respect: +1
'An' Antiderivative?
« on: October 26, 2010, 07:47:57 pm »
0
My teacher said regardless of the fact if the question asks for 'an' antiderivative or the antiderivative, the  '+c' must be stated, this is becoz in the 2006 paper exam1,Q8, it asks for 'an antiderivative' and there is a '+c'in the assessment report. So do we really need it even when it says 'an"???

sajib_mostofa

  • Victorian
  • Forum Leader
  • ****
  • Posts: 829
  • Respect: +6
Re: 'An' Antiderivative?
« Reply #1 on: October 26, 2010, 07:49:48 pm »
0
I'd put it just in case to be on the safe side. They can't mark you down if you put one.

m@tty

  • Victorian
  • ATAR Notes Legend
  • *******
  • Posts: 4324
  • Respect: +33
  • School: Heatherton Christian College
  • School Grad Year: 2010
Re: 'An' Antiderivative?
« Reply #2 on: October 26, 2010, 07:54:00 pm »
0
My teacher said regardless of the fact if the question asks for 'an' antiderivative or the antiderivative, the  '+c' must be stated, this is becoz in the 2006 paper exam1,Q8, it asks for 'an antiderivative' and there is a '+c'in the assessment report. So do we really need it even when it says 'an"???

Well, they leave it off in quite a few others.

If you write out the proper anti-derivative, then finally state "Therefore an anti-derivative of ... is ...." then you should be safe.

Because the "+C" denotes a family of functions, and "an" is singular => So really with the "+C" it is wrong...
2009/2010: Mathematical Methods(non-CAS) ; Business Management | English ; Literature - Physics ; Chemistry - Specialist Mathematics ; MUEP Maths

96.85

2011-2015: Bachelor of Aerospace Engineering and Bachelor of Science, Monash University

2015-____: To infinity and beyond.

samuch

  • Victorian
  • Part of the furniture
  • *****
  • Posts: 1020
  • Respect: +6
Re: 'An' Antiderivative?
« Reply #3 on: October 26, 2010, 07:57:04 pm »
0
yeah dont include the +c, they accepted the +c on some papers because it can be considered 'an' antiderivative
2008: KLD young scholar
VCE 2009: Psychology
VCE 2010: Methods (CAS), Specialist Maths, Chemistry, Physics and Literature

2011: Bachelor of commerce/science at monash

Blakhitman

  • Victorian
  • Part of the furniture
  • *****
  • Posts: 1954
  • Respect: +7
Re: 'An' Antiderivative?
« Reply #4 on: October 26, 2010, 08:13:16 pm »
0
My teacher said regardless of the fact if the question asks for 'an' antiderivative or the antiderivative, the  '+c' must be stated, this is becoz in the 2006 paper exam1,Q8, it asks for 'an antiderivative' and there is a '+c'in the assessment report. So do we really need it even when it says 'an"???

Well, they leave it off in quite a few others.

If you write out the proper anti-derivative, then finally state "Therefore an anti-derivative of ... is ...." then you should be safe.

Because the "+C" denotes a family of functions, and "an" is singular => So really with the "+C" it is wrong...

After I read that idea off the.watchman I've been doing it all the time :D

m@tty

  • Victorian
  • ATAR Notes Legend
  • *******
  • Posts: 4324
  • Respect: +33
  • School: Heatherton Christian College
  • School Grad Year: 2010
Re: 'An' Antiderivative?
« Reply #5 on: October 26, 2010, 08:15:46 pm »
0
Yeah, it's mathematically incorrect to simply leave off the "+C".

If there is an "an anti-derivative" question in the exam I'm tempted to put a constant like rather than a boring zero.
« Last Edit: October 26, 2010, 08:17:17 pm by m@tty »
2009/2010: Mathematical Methods(non-CAS) ; Business Management | English ; Literature - Physics ; Chemistry - Specialist Mathematics ; MUEP Maths

96.85

2011-2015: Bachelor of Aerospace Engineering and Bachelor of Science, Monash University

2015-____: To infinity and beyond.

Blakhitman

  • Victorian
  • Part of the furniture
  • *****
  • Posts: 1954
  • Respect: +7
Re: 'An' Antiderivative?
« Reply #6 on: October 26, 2010, 08:44:22 pm »
0
Yeah, it's mathematically incorrect to simply leave off the "+C".

If there is an "an anti-derivative" question in the exam I'm tempted to put a constant like rather than a boring zero.

lol just for lols put like a massive number as a constant, add in sin cos sec, see if they mark you correct haha

m@tty

  • Victorian
  • ATAR Notes Legend
  • *******
  • Posts: 4324
  • Respect: +33
  • School: Heatherton Christian College
  • School Grad Year: 2010
Re: 'An' Antiderivative?
« Reply #7 on: October 26, 2010, 08:46:46 pm »
0
Maybe I'll put a series: or something similar... :p
2009/2010: Mathematical Methods(non-CAS) ; Business Management | English ; Literature - Physics ; Chemistry - Specialist Mathematics ; MUEP Maths

96.85

2011-2015: Bachelor of Aerospace Engineering and Bachelor of Science, Monash University

2015-____: To infinity and beyond.

Blakhitman

  • Victorian
  • Part of the furniture
  • *****
  • Posts: 1954
  • Respect: +7
Re: 'An' Antiderivative?
« Reply #8 on: October 26, 2010, 09:03:41 pm »
0
You do it and see if they give you the mark.

You'll be labeled a hero for taking the risk :p

m@tty

  • Victorian
  • ATAR Notes Legend
  • *******
  • Posts: 4324
  • Respect: +33
  • School: Heatherton Christian College
  • School Grad Year: 2010
Re: 'An' Antiderivative?
« Reply #9 on: October 26, 2010, 09:06:42 pm »
0
I'll let you be the hero.
2009/2010: Mathematical Methods(non-CAS) ; Business Management | English ; Literature - Physics ; Chemistry - Specialist Mathematics ; MUEP Maths

96.85

2011-2015: Bachelor of Aerospace Engineering and Bachelor of Science, Monash University

2015-____: To infinity and beyond.

roberto

  • Victorian
  • Forum Regular
  • **
  • Posts: 81
  • Respect: +1
Re: 'An' Antiderivative?
« Reply #10 on: October 26, 2010, 09:08:13 pm »
0
My teacher said regardless of the fact if the question asks for 'an' antiderivative or the antiderivative, the  '+c' must be stated, this is becoz in the 2006 paper exam1,Q8, it asks for 'an antiderivative' and there is a '+c'in the assessment report. So do we really need it even when it says 'an"???

u wont get penalised with +c if it says "an". though technically u don't need it. 

Blakhitman

  • Victorian
  • Part of the furniture
  • *****
  • Posts: 1954
  • Respect: +7
Re: 'An' Antiderivative?
« Reply #11 on: October 26, 2010, 09:13:30 pm »
0
I'll let you be the hero.

I guess "we must stand fast a little, even at the risk of being heroes".

Bolt demonstrates that although one may not like the idea of being a hero, it is essential that one remains true to themselves-especially in matters related to mathematics-even if it may ultimately result in them being labeled as heroes.

98.40_for_sure

  • vtec's kickin in yo!
  • Victorian
  • ATAR Notes Superstar
  • ******
  • Posts: 2589
  • Respect: +10
Re: 'An' Antiderivative?
« Reply #12 on: October 26, 2010, 09:24:56 pm »
0
I'll let you be the hero.

I guess "we must stand fast a little, even at the risk of being heroes".

Bolt demonstrates that although one may not like the idea of being a hero, it is essential that one remains true to themselves-especially in matters related to mathematics-even if it may ultimately result in them being labeled as heroes.

This is not the stuff of which heroes are made
2009: Texts & Traditions (28)
2010: English (45), Chemistry (40), Methods CAS (43), Specialist Maths (42)
ATAR: 98.40

Booksale: http://vce.atarnotes.com/forum/index.php/topic,33456.0.html
MM & SM tuition: http://vce.atarnotes.com/forum/index.php/topic,33942.0.html

/0

  • Victorian
  • ATAR Notes Legend
  • *******
  • Posts: 4124
  • Respect: +45
Re: 'An' Antiderivative?
« Reply #13 on: October 26, 2010, 09:26:41 pm »
0
Maybe I'll put a series: or something similar... :p

lol you should try to find a series where it is very hard to prove it converges

e.g.
converges but it takes time to prove :p

Blakhitman

  • Victorian
  • Part of the furniture
  • *****
  • Posts: 1954
  • Respect: +7
Re: 'An' Antiderivative?
« Reply #14 on: October 26, 2010, 09:30:03 pm »
0
I'll let you be the hero.

I guess "we must stand fast a little, even at the risk of being heroes".

Bolt demonstrates that although one may not like the idea of being a hero, it is essential that one remains true to themselves-especially in matters related to mathematics-even if it may ultimately result in them being labeled as heroes.

This is not the stuff of which heroes are made

tutut incorrect quote!