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Crossy
10-11-2010, 10:09 PM
Maths assignment, if i can get help with this first bit ... it would be greatly appreciated :) programs like Efofex, and maths Gv can help.


ASSIGNMENT:
Task 1: Exponential and Logarithmic Functions.
Last semester, you investigated the use of parabolic functions to model skateboard ramps.

We are sticking with skateboard ramps this semester but now you need to use functions other that parabolics.

Specifically, you need to come up with three more designs – one each from the following family of curves:

a. exponential
b. logarithmic
c. catenaries

You will have to research especially catenaries. What are they? What special properties do they have? What can you say about their equations? Why are they interesting to engineers?

As with you models last semester, you are encouraged to provide 3D graphs of your models. You will also need to fully describe your models in terms of piecewise (also known as hybrid functions.

Task 2: Trigonometry
Print off a satellite image of the grounds of St Edmund’s College and calculate the area bounded by the roads surrounding the College.

In doing so, you will be expected to use the Sine Rule, Cosine Rule, Area of Triangle formula and other mathematical techniques.

Task 3: Statistics
The following data relate to final course scores in two Colleges in the ACT. As you can see, there are not many people doing these courses. Also one cell is deliberately blank.

College A 23 36 42 42 44 48 52 54 54 58
College B 56 56 58 64 68 68 74 80 96

Clearly one College has higher marks than the other College yet there is no reason to believe that the students at College B are higher achievers than those at College A. For that reason, you will need to consider how the marks might be scaled so that students at one College are not advantaged over the other.

Conduct some research into how marks can be scaled. Based on your research, scale the marks from both Colleges so that they better reflect the abilities of students. Finally critically analyse your solution to the problem. Can there be any flaws in the process? Are you satisfied that the process you adopt is entirely fair under all circumstances?

Iunio
10-11-2010, 10:44 PM
_____( e^(-(x+5)) for x values ranging from -5.5 to zero
f(x) = (
_____( e^(x-5) for x values from zero to 5.5

hey presto, hybrid function for a ramp. (imagine there are spaces where the underscores are, i tried to put spaces there but it didnt work. the three brackets on top of each other are simply my rendition of the hybrid function brackets). got bored, and only really glossed over what your assignment wanted, but there it is. little 1.5 metre ramp ftw.

or, take one of those bad boys and rotate them around the y axis for a bowl

Snickersma
11-11-2010, 08:29 AM
AUF .. who needs Big Bang Theory to get a LOL?

Haha nice work Iunio :)


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French_Maiden
11-11-2010, 02:09 PM
^^ haha agreed snicks

LeFarns
11-11-2010, 03:23 PM
WTF!!!!! is a parabolic or logarithmic......my brain hurst.... my world is 01001010

Joshizzled
11-11-2010, 03:35 PM
Word on the grapevine is 1+1= window

Crossy
11-11-2010, 03:35 PM
haha, wow i hate this. thanks iuno ha. will see how shit goes down. :)

nurfman
11-11-2010, 04:13 PM
I love maths and ill have a look .........I honestly have 1 employee who is a fully fledged rocket scientist ....i showed him your assignment and he looked at it like it was porn

Crossy
11-11-2010, 09:43 PM
tell him to feel free to do the part 1 and 3 and send them to me :) hahah. part 2 i kinda have to do myself which is easy. just there is huge curve chunks out of the school, so i think i use sectors for that.

Iunio
12-11-2010, 09:15 AM
i knew that my maths knowledge would come good somewhere after i finished school XD

____( -loge(2x+8)+2.5 for x values from (-4,-1]
f(x)= ( .708241 for x values from [-1,1]
____( -loge(-2x+8)+2.5 for x values from [1,4)

you'd need to sign a waiver to use that big mofo right there; nearly 6 metres high, definitely one for the more hardcore kiddies. if you want to change the dimensions etc, just mess around with the dilations, that's all I did on my CAS calculator

my knowledge does not span as far as these catenaries you speak of, and as i'm now on a quest to forget everything i learned in 13 years of schooling, there's no way i'm gonna learn about them, so that's all the help i can offer.

Snickersma
12-11-2010, 12:16 PM
i knew that my maths knowledge would come good somewhere after i finished school XD

____( -loge(2x+8)+2.5 for x values from (-4,-1]
f(x)= ( .708241 for x values from [-1,1]
____( -loge(-2x+8)+2.5 for x values from [1,4)

you'd need to sign a waiver to use that big mofo right there; nearly 6 metres high, definitely one for the more hardcore kiddies. if you want to change the dimensions etc, just mess around with the dilations, that's all I did on my CAS calculator

my knowledge does not span as far as these catenaries you speak of, and as i'm now on a quest to forget everything i learned in 13 years of schooling, there's no way i'm gonna learn about them, so that's all the help i can offer.

What's a catenarie?

Is it like a canary crossed with a cat ( or perhaps inside it)?

Btw nice work on the solution .. I did first year uni maths but after a serious brain explosion I'm now limited to a "surface" appreciation of the wonderfully world of maths and physics etc.


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Iunio
12-11-2010, 01:20 PM
i just came battered and bruised out of a whole year of Specialist Mathematics, and this is probably all i've remembered from it :S

Snickersma
12-11-2010, 01:38 PM
Mate I was a total gun at maths at school even got some prizes in the big Aust Maths comp they had every year.. :)

Since I dropped it after 1 st year uni I haven't even considered maths!! Integral calculus ?!? What a friggin waste of time that was LOL!


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sodium1
12-11-2010, 03:36 PM
http://i874.photobucket.com/albums/ab306/Sodi1/nerd.jpg

Snickersma
12-11-2010, 03:48 PM
http://i874.photobucket.com/albums/ab306/Sodi1/nerd.jpg

Nice Sodium!

When was that taken? You look pretty smart dude! :)


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sodium1
12-11-2010, 04:28 PM
that was me studying before my maths test last semester. i'm obviously pretty hardcore.


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Snickersma
12-11-2010, 05:34 PM
hahaha niiiiice ;)

Repped :)

Crossy
13-11-2010, 06:12 PM
yeah. i'm doing methods next year, as i start year 11. so yeah ... not looking forward to it.

pretty sure catenaries are like . if you have two powerline posts, and then the actual powerline that runs between them sags in the middle, and it's the curve shape it makes.

sodium1
14-11-2010, 11:54 AM
lol thanks :P
on topic, i hate maths. it just feels so stressful and i always get distracted when i'm trying to figure out a sum. but i'm not too bad at it, i'm in the smart group at least :D

Crossy
14-11-2010, 01:21 PM
i forget formulas and how to do shit, as soon as we move onto the next topic. like if i try go back, i have to get it taught again. haha

this is due tomorrow, so ... i'll just study for the test and see if i can do good.