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?

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?