A 'gtfo' Trig and Calculus Question

lol.

So.

The hour and minute hand of a clock are 2m and 3m respectively. What is the rate of change between the ends of the hands at 4pm.

GL HF

(Edit: It's not that hard if you draw a good diagram...)

A 'Not so simple' Trig Problem

Now that we've cleared basic trig! Let's do Trig! With Integration! Yay!

Integral from 0 to Pi/4

of

(tan(x) - (tan(x)-1)/(tan(x)+1))dx

I would do it in math type, but I think that is simple enough.

Looking back at it (now that I know how to do it) it's not THAT hard, but like. How the hell was I supposed to know how to do it >.>

Find the Maths Formula!

Edit: I wrote the generic formula right, but the actual results wrong... So yeah. Updated Numbers!

Yay fun! Find the relationship between the following numbers!

0 3 7 13 21 28 36 43

I think I might have posted this before, not too sure. Also, if it's too hard, I'll post a few more numbers after it. I made this sequence up in a Chinese Exam I believe, and (for some reason) it's written into my Physics book. So yeah

(And use the god damn tags people). Just push Show All. I've entered every relevant tag.

A Question on Nucleic Acids

So, after 10 papercuts, blunt scissors and running out of glue, I present to you this question.

Can anyone here go through a basic (yet detailed) summary of Nucleic Acids, mostly in relation to Human Biochemistry.

'Simple' Trig Problem

Honestly if you can get this (even though it's not that hard), you've understood all the basic theory behind trig. Some of the more complex stuff (ie. complex numbers, pun non-intended) aren't included.

In triangle ABC, b = 2theta, c=theta, AB = 3cm and AC = 5 cm. Find the exact area of the triangle.

It appears simple. But it takes a damn long time.

[Question] Let's get this started: Vector Proof hooo~

Ok! Study blog, yay! So, this is the first post of this blog relevant to it's use I suppose.

David did mention that it was for anything and everything pretty much, so I'm going to kick this off with a super disgusting vector proof question.

(Those doing spec, if this looks familiar, check your textbook _b)

Here goes:

The points A and B have position vectors a and b respectively, relative to an origin O. The point P divides the line segment OA in the ratio 1:3 and the point R divides the line segment AB in the ratio 1:2. Given that PRBQ is a parallelogram, determine the position of Q.

Gl, hf~

Submissions on this blog itself as a post would be great ^^, although I'm kind of scared how it's going to turn out as a post... Diagrams? Try photobucket.

I will attempt this question too, and will eventually put up an answer if no one bothers (assume I still care enough).