All Tasks - Asymptote

The value of the integral $\displaystyle \int_0^1 \frac{y}{y^2+1}dy$ is:

If $f$ is a real function of a real variable, is continues and $F'(x)=f(x), \forall x \in \mathbb{R}$, so $\int_1^3 f(2x)dx$ is:

Imagine that you want to buy some pens. In the shop near home one pen cost 0,80 euro, online one pen cost 0,60 euro but the shipping fees are 3 euro. How many pens you have to buy in order to spend the same money in each shop?

Identify the relative positions of this two straigh lines: $y=2x-4$ $y=2x-2$

Determine a possible point of intersection of the given two lines. $f(x)=0,5x+4,5$ $g(x)=22-3x$

A new candle is 24 cm high. After five hours a candle lose 10 cm of its height. How long does it take for the candle to burn down completely? Give your answer in hours.