## Search found 151 matches

Sat Sep 03, 2011 10:34 pm
Forum: H. Secondary: Solved
Topic: Dhaka Higher Secondary 2011/10
Replies: 4
Views: 4482

### Re: Dhaka Higher Secondary 2011/10

Ibrahim, it's expected that you use LATEX in this forum

And draw a diagram and you should have the explanation for why your answer is incorrect
Sat Sep 03, 2011 8:27 pm
Forum: Algebra
Topic: functional equation
Replies: 3
Views: 1530

I guess the following proof should hold. Lets consider the Mclaurin series expansion $f(x) = g_0 (x) + g_1 (x) + g_2 (x) + ...$ where $g_k (x) = a_k x^k$ Now, the left side of the equation (as written in earlier reply) demands that for all values of $k$ the following relation holds: $\frac {g_k(x)... Sat Sep 03, 2011 7:59 pm Forum: Algebra Topic: functional equation Replies: 3 Views: 1530 ### Re: functional equation Rewriting the equation as \[ f'(x) = \frac {f(x) - f \left (\frac {x} {2} \right)} {\frac {x} {2}}$ This means that the straight line passing through $\left ( x, \frac {x} {2} \right )$ is the same as the slope of the function at $x$. This intuitively reveals that $f(x)$ is linear. For any pair of...
Thu Sep 01, 2011 9:13 pm
Forum: Algebra
Topic: A Dirty Problem
Replies: 2
Views: 1176