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Type: Posts; User: Carrotsticks

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1. ## Thread: MX2 Integration Marathon

by Carrotsticks
Replies
594
Views
14,106

### Re: MX2 Integration Marathon

Personally, I would have made the substitution x=u^2.

As a result, you get the integral of u*sqrt(1+u), which is straight-forward to evaluate, and the substitution back to x is quick.
2. ## Thread: MX2 Integration Marathon

by Carrotsticks
Replies
594
Views
14,106

### Re: MX2 Integration Marathon

\\ f(x) = \frac{\pi}{4} (1+x^2)

=)

(is this cheating)

by Carrotsticks
Replies
273
Views
8,213

4. ## Thread: "F*CK this shit" Anyone else?

by Carrotsticks
Replies
52
Views
1,847

### Re: "F*CK this shit" Anyone else?

If this really is your perspective, then something is wrong, regardless of your degree.
5. ## Thread: Need help! ATAR Estimate

by Carrotsticks
Replies
17
Views
492

### Re: Need help! ATAR Estimate

With regards to this, I don't think teachers marking hard is an excuse for a dramatic drop in ranks because would they not be marking everybody harshly?

If your teacher was only marking YOU...
6. ## Thread: Missed 2 Tutorials with good marks

by Carrotsticks
Replies
9
Views
342

### Re: Missed 2 Tutorials with good marks

This is true if attendance counts towards your final mark.

However, for OP's course, attendance does not count towards the final mark.

(but doesn't mean you should skip tutorials!)
7. ## Thread: Missed 2 Tutorials with good marks

by Carrotsticks
Replies
9
Views
342

### Re: Missed 2 Tutorials with good marks

You're fine, the attendance only really matters if you're borderline failing.

by Carrotsticks
Replies
1
Views
73

### Re: Locus help!

Solve them simultaneously for the point of intersection.
9. ## Thread: BoS Age of Empires 2.

by Carrotsticks
Replies
4
Views
264

### Re: BoS Age of Empires 2.

I'm in, love this game. Through Steam?

by Carrotsticks
Replies
10
Views
357

### Re: Mechanics

I don't understand the need for Z. Your problem above is 2 dimensional, so why is there Z?

by Carrotsticks
Replies
7
Views
432

### Re: atar estimate

Hypothetical situation:

"My school normally has its Chemistry cohort averaging around 50%. However, my cohort this year has its estimated average to be around 75%. Therefore, my cohort is...
12. ## Thread: Kill off a topic.

by Carrotsticks
Replies
44
Views
1,026

### Re: Kill off a topic.

Although it is a part of Physics, we cannot place it there. The reason is because the Physics course (and all the science courses) are designed such that a person NOT even doing 2 Unit Mathematics...
13. ## Thread: MX2 Integration Marathon

by Carrotsticks
Replies
594
Views
14,106

### Re: MX2 Integration Marathon

It's a classic proof for the fact that the common Year 7-10 approximation of pi actually exceeds it.
14. ## Thread: Structure of the Exam

by Carrotsticks
Replies
12
Views
399

### Re: Structure of the Exam

As undesirable as that may be, it is (unfortunately) something required for the state.

The number of students able to complete large questions by themselves (with no lead-up) is very small in...
15. ## Thread: HSC 2013 2U Marathon

by Carrotsticks
Replies
47
Views
1,226

### Re: HSC 2013 2U Marathon

\\ $By using the Trapezoidal Rule, with four function values, on the curve$ y=\frac{1}{x} $in the domain$ 1 \leq x \leq 2 $, approximate$ \ln 2 $correct to three decimal places.$

by Carrotsticks
Replies
4
Views
154

### Re: homework help?

\\ \frac{d}{dt} \left (2 \ln 4t \right )= 2 \times \frac{1}{4t} \times 4 = \frac{2}{t}
17. ## Thread: Motion homework help

by Carrotsticks
Replies
1
Views
95

### Re: Motion homework help

\ddot{x} = \frac{d}{dx} \left ( \frac{1}{2} v^2 \right )

Also, if you found your x(t) correctly, you should be able to differentiate that twice to get the acceleration in terms of time.
18. ## Thread: Kill off a topic.

by Carrotsticks
Replies
44
Views
1,026

### Re: Kill off a topic.

Actually, it has a lot to do with university mathematics and it most certainly does not lead to nowhere, because it introduces students to the concept of 'Projective Geometry'.
...

by Carrotsticks
Replies
25
Views
687

### Re: Favourite word.

Whenever I teach resisted motion and explain the different terminology, the class always laughs whenever I mention 'retardation'.

Same with 'latus rectum'.

by Carrotsticks
Replies
25
Views
687

### Re: Favourite word.

I knew somebody was going to say this.
21. ## Thread: HSC 2013 4U Marathon

by Carrotsticks
Replies
1,685
Views
48,291

### Re: HSC 2013 4U Marathon

There are infinitely many functions satisfying this condition?
22. ## Thread: Kill off a topic.

by Carrotsticks
Replies
44
Views
1,026

### Kill off a topic.

If you had the ability to remove a topic from the Extension 2 Mathematics course, what topic would you remove?

by Carrotsticks
Replies
25
Views
687

### Favourite word.

What is your favourite word from the Extension 2 Mathematics course?
24. ## Thread: HSC 2013 4U Marathon

by Carrotsticks
Replies
1,685
Views
48,291

### Re: HSC 2013 4U Marathon

Geometric probability is straying quite a bit from Extension 2 without any prior intuition. Not many students fully grasp the concept of probability being the area under a curve.
25. ## Thread: Projectile Motion Ay

by Carrotsticks
Replies
8
Views
209

### Re: Projectile Motion Ay

Say they make g be a negative quantity.

Your Cartesian, assuming the particle is projected from the origin, would be

y=\frac{gx^2}{2V^2}\sec ^2 \theta + x \tan \theta

Although we know that g...
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