Login

Welcome, Guest. Please login or register.

July 22, 2025, 01:33:57 pm

Author Topic: Mathematical Methods CAS Exam 2 Discussion - How was it??  (Read 52428 times)  Share 

0 Members and 1 Guest are viewing this topic.

Water

  • Victorian
  • Part of the furniture
  • *****
  • Posts: 1136
  • Respect: +116
Re: Mathematical Methods CAS Exam 2 Discussion - How was it??
« Reply #120 on: November 09, 2011, 05:29:06 pm »
0
Just one question, why can m = 0, for stationary points. Doesn't cubics have stationary point of inflections.? Even when its most basic of b^3 (pun)
About Philosophy

When I see a youth thus engaged,—the study appears to me to be in character, and becoming a man of liberal education, and him who neglects philosophy I regard as an inferior man, who will never aspire to anything great or noble. But if I see him continuing the study in later life, and not leaving off, I should like to beat him - Callicle

BubbleWrapMan

  • Teacher
  • Part of the furniture
  • *
  • Posts: 1110
  • Respect: +97
Re: Mathematical Methods CAS Exam 2 Discussion - How was it??
« Reply #121 on: November 09, 2011, 05:29:59 pm »
0
Just one question, why can m = 0, for stationary points. Doesn't cubics have stationary point of inflections.?
Not always.
Tim Koussas -- Co-author of ExamPro Mathematical Methods and Specialist Mathematics Study Guides, editor for the Further Mathematics Study Guide.

Current PhD student at La Trobe University.

gossamer

  • Victorian
  • Forum Obsessive
  • ***
  • Posts: 335
  • Respect: +13
Re: Mathematical Methods CAS Exam 2 Discussion - How was it??
« Reply #122 on: November 09, 2011, 05:30:25 pm »
+1
Just one question, why can m = 0, for stationary points. Doesn't cubics have stationary point of inflections.? Even when its most basic of b^3 (pun)
Water, I'm fairly sure a stationary point is defined as where f'(x)=0

Panicmode

  • Victorian
  • Forum Leader
  • ****
  • Posts: 828
  • Respect: +46
  • School: De La Salle College Malvern
  • School Grad Year: 2011
Re: Mathematical Methods CAS Exam 2 Discussion - How was it??
« Reply #123 on: November 09, 2011, 05:30:34 pm »
+3
Quote
Just one question, why can m = 0, for stationary points. Doesn't cubics have stationary point of inflections.?

Remember the question before how you showed the derivetave is greater than or equal to five (hence doesn't equal 0 for no stationary points?)

There is such a thing as non-stationary point of inflection.
« Last Edit: November 09, 2011, 05:32:43 pm by Panicmode »
2012 Biomedicine @ UoM

kenny_

  • Victorian
  • Trailblazer
  • *
  • Posts: 42
  • Respect: 0
Re: Mathematical Methods CAS Exam 2 Discussion - How was it??
« Reply #124 on: November 09, 2011, 05:32:28 pm »
0
For the mean question, are you sure upper bound is infinity? Cause if you use infinity it doesn't add up to 1 and therefore it isn't a pdf? I made the upper bound = b and solved for b. which was 6.something then used that to find the mean. E(x) = 3.2365...

b^3

  • Honorary Moderator
  • ATAR Notes Legend
  • *******
  • Posts: 3529
  • Overloading, just don't do it.
  • Respect: +631
  • School: Western Suburbs Area
  • School Grad Year: 2011
Re: Mathematical Methods CAS Exam 2 Discussion - How was it??
« Reply #125 on: November 09, 2011, 05:33:23 pm »
0
Just one question, why can m = 0, for stationary points. Doesn't cubics have stationary point of inflections.? Even when its most basic of b^3 (pun)
I actually got this wrong and forgot the 0 in the second part of the question. But not all cubics have stationary points ->http://www.wolframalpha.com/input/?i=x%5E3%2Bx%5E2%2Bx%2B1
e.g. y=x^3+x^2+x+1 doesn't have one.
2012-2016: Aerospace Engineering/Science (Double Major in Applied Mathematics - Monash Uni)
TI-NSPIRE GUIDES: METH, SPESH

Co-Authored AtarNotes' Maths Study Guides


I'm starting to get too old for this... May be on here or irc from time to time.

BoredSatan

  • Victorian
  • Part of the furniture
  • *****
  • Posts: 1206
  • <3
  • Respect: +72
  • School: GWSC
  • School Grad Year: 2011
Re: Mathematical Methods CAS Exam 2 Discussion - How was it??
« Reply #126 on: November 09, 2011, 05:33:55 pm »
0
For the mean question, are you sure upper bound is infinity? Cause if you use infinity it doesn't add up to 1 and therefore it isn't a pdf? I made the upper bound = b and solved for b. which was 6.something then used that to find the mean. E(x) = 3.2365...
no it only works if its inifinity.

i tried on my cas and its definately equal to 1
Master of Dentistry, Latrobe University 2011 ATAR: 99.75
ATARnotes Accounting Unit 3&4 Study Guide Author

thatisanote

  • Victorian
  • Forum Obsessive
  • ***
  • Posts: 210
  • Respect: +7
Re: Mathematical Methods CAS Exam 2 Discussion - How was it??
« Reply #127 on: November 09, 2011, 05:34:11 pm »
0
Quote
Just one question, why can m = 0, for stationary points. Doesn't cubics have stationary point of inflections.?

Remember the question before how you showed the derivetave is greater than or equal to five (hence doesn't equal 0 for no stationary points?)

There is such a thing as non-stationary point of inflection.


Yes there is sorry! And in fact I read this in some old vcaa thing or the DHA book last night.
There is definitely a regular POI, where the dy/dx doesn't go to zero.
2010: Eco 46
2011: Eng 45 MMM 47 MFM 50 Phy 44 MUEP Comp Systems 5.5
2012: Stanford University :)

(selling SAT/american college books, pm me)

BubbleWrapMan

  • Teacher
  • Part of the furniture
  • *
  • Posts: 1110
  • Respect: +97
Re: Mathematical Methods CAS Exam 2 Discussion - How was it??
« Reply #128 on: November 09, 2011, 05:34:46 pm »
0
For the mean question, are you sure upper bound is infinity? Cause if you use infinity it doesn't add up to 1 and therefore it isn't a pdf? I made the upper bound = b and solved for b. which was 6.something then used that to find the mean. E(x) = 3.2365...
It was equal to 1 though.
Tim Koussas -- Co-author of ExamPro Mathematical Methods and Specialist Mathematics Study Guides, editor for the Further Mathematics Study Guide.

Current PhD student at La Trobe University.

kenny_

  • Victorian
  • Trailblazer
  • *
  • Posts: 42
  • Respect: 0
Re: Mathematical Methods CAS Exam 2 Discussion - How was it??
« Reply #129 on: November 09, 2011, 05:38:36 pm »
0
For the mean question, are you sure upper bound is infinity? Cause if you use infinity it doesn't add up to 1 and therefore it isn't a pdf? I made the upper bound = b and solved for b. which was 6.something then used that to find the mean. E(x) = 3.2365...
no it only works if its inifinity.

i tried on my cas and its definately equal to 1

What about in later questions when they tell you that Pr(y<3) = 9/26.
If you do Pr(Y>3) using calc then its Int 3 to 4 y/16 + int 4 to infinity e^-.25(y-4) and i get 1.218?

EDIT: ok wtf i just deleted it all and entered it again and got 0.71... FUCKKK
« Last Edit: November 09, 2011, 05:41:00 pm by kenny_ »

Anon123

  • Victorian
  • Forum Obsessive
  • ***
  • Posts: 318
  • Respect: +22
Re: Mathematical Methods CAS Exam 2 Discussion - How was it??
« Reply #130 on: November 09, 2011, 05:40:08 pm »
0
aww man, so depressing getting the first question of ER wrong >.>

Why would vcaa ask an apparently "spesh" question...thats so rat for non spesh students

edit: how many marks for doing
V = 6075 - t^2/5
0 = 6075 - t^2/5
t=45/sqr15 minutes

1?
« Last Edit: November 09, 2011, 05:42:19 pm by Anon123 »
Re: Silly things you did during the exam..
I accidentally wrote a really shit context essay, oh wai-

English (33>31)
called it

duquesne9995

  • Victorian
  • Forum Obsessive
  • ***
  • Posts: 244
  • Respect: +16
Re: Mathematical Methods CAS Exam 2 Discussion - How was it??
« Reply #131 on: November 09, 2011, 05:47:54 pm »
0
aww man, so depressing getting the first question of ER wrong >.>

Why would vcaa ask an apparently "spesh" question...thats so rat for non spesh students

same here >_>

Panicmode

  • Victorian
  • Forum Leader
  • ****
  • Posts: 828
  • Respect: +46
  • School: De La Salle College Malvern
  • School Grad Year: 2011
Re: Mathematical Methods CAS Exam 2 Discussion - How was it??
« Reply #132 on: November 09, 2011, 05:50:32 pm »
+1
aww man, so depressing getting the first question of ER wrong >.>

Why would vcaa ask an apparently "spesh" question...thats so rat for non spesh students

same here >_>

It wasn't a spesh question, just spesh kids would've found it easier because it's similar to the easier problems they encounter.
2012 Biomedicine @ UoM

thushan

  • ATAR Notes Lecturer
  • Honorary Moderator
  • ATAR Notes Legend
  • *******
  • Posts: 4959
  • Respect: +626
Re: Mathematical Methods CAS Exam 2 Discussion - How was it??
« Reply #133 on: November 09, 2011, 05:56:54 pm »
0
Did the last question of the Methods exam, it was challenging, especially the last part of the last question, where I had a dodgy explanation...
Managing Director  and Senior Content Developer - Decode Publishing (2020+)
http://www.decodeguides.com.au

Basic Physician Trainee - Monash Health (2019-)
Medical Intern - Alfred Hospital (2018)
MBBS (Hons.) - Monash Uni
BMedSci (Hons.) - Monash Uni

Former ATARNotes Lecturer for Chemistry, Biology

Anon123

  • Victorian
  • Forum Obsessive
  • ***
  • Posts: 318
  • Respect: +22
Re: Mathematical Methods CAS Exam 2 Discussion - How was it??
« Reply #134 on: November 09, 2011, 05:58:57 pm »
0
Did the last question of the Methods exam, it was challenging, especially the last part of the last question, where I had a dodgy explanation...

Yeah I actually had no idea what the hell they were on about, I did not understand the question at all....what the hell was k? I still managed to get all of it right bar the very last question, but my understanding of what was going on...was 0
Re: Silly things you did during the exam..
I accidentally wrote a really shit context essay, oh wai-

English (33>31)
called it