All Tasks - Asymptote

The domain ($D_f$) and the range ($D'_f$) of the function $f(x)= -2 \arctan\left(2x\right)$ are, respectively,

The domain ($D_f$) and the range ($D'_f$) of the function $f(x)= \dfrac{\pi}{2} -2 \arctan(1-2x)$ are, respectively,

What is the final value of the following sum: $ 2^4+3^0+6^2 $

The picture shows a German Flag with the length 0,8 m and the height 0,5 m. How big is the area of the red part of the flag? Put your result in $m^2$.

Consider the number 0.25. Now write it separately like this: 0+0.2+0.05. Every zero to the left of a given number is equivalent to dividing said number by 10. So for example, 2 divided by 10 equals 0.2 and 5 divided by 10 twice equals 0.05. See how every time you divide a number by 10, the decimal point moves further to the left. To convert a decimal number to a fraction, each individual number must be written like this: $0 + \dfrac{\text{first number}}{10} + \dfrac{\text{second number}}{100} + \dfrac{\text{third number}}{1000}$. Once you have done this with all the numbers, you add them all and convert your decimal number to a fraction. Give it a try! How do you write 0.625 in the form of a fraction? (Remember to simplify your answer)

Let's have a look at a simple set of rules used to know if a certain number can be divided by another one. This will come in handy when simplifying fractions. First read the rules in the picture. With these rules in mind, apply each one of them from 2 to 9 to simplify the next fraction: $\dfrac{362880}{1088640}$