## Saturday, June 30, 2007

### Test post

You can skip past this post to the next one... if you want. (two in a day wow!!) This post is going to be where I mess around with LaTeX and how it looks on this blog. I'm just going to be posting random stuff taken from anywhere! I dare not mess about with other posts since it's a pain and takes too long to repair them. Remember bloggers only use &.#.60 for &amp;amp;#60, and &.#.62 for &#62! Without the dots of course, but be careful if you don't want to end up in tears as to where your post has dissapeared to!

'Figure 2 shows part of the curve with equation: $y=(2x-1)\tan {2x}, \quad 0 \le x \text{ strictly less than } \frac{\pi}{4}$. (-2) Lala ... the question may have been copied wrong- I had to squint!

The curve has a maximum at the point P. The x-cordinate of P is k.

a) Show that $k$ (2) satisfies the equation: $4k + \sin (4k) -2=0$ (0pt). (just continuing the line here-ignore).

The iterative formula: $x_{n+1}=\frac{1}{4}(2- \sin 4x_n),\; x_0=0.3.$ (-1pt) is used to find an approximate value for $k$ (-4). random words.

(b) Calculate the values of $x_1,x_2,x_3$ (-3) and x_4, giving your answers to four decimal places.

(c) Show that k=0.277, correct to 3 sig. figures.

I'll play around with the padding in the morning- just want to make the posts that have Latex user friendly. :) Which pt looks best at the moment? (without padding being changed?)