Given two positive numbers that denote sides $a$ and $b$ of a rectangle, write a program that prints the perimeter and the square. Example:

Input: a = 5, b = 7
Output: perimeter is 24, square is 35

Write a program that converts the speed in km/h to m/s. Example:

Input: 36
Output: 10

Write a program that converts the Celsius temperature to the Reamur, Kelvin and Fahrenheit temperatures using these formulas. \begin{align*} R &= 0.8 \cdot C \newline F &= 1.8 \cdot C + 32 \newline K &= 273.15 + C \
\end{align*} Example:

Input: C = 37
Output: R = 29.6, F = 98.6, K = 310

Given coefficients $A$, $B$, and $C$ of a quadratic equation $Ax^2 + Bx + C = 0$, write a program that prints the equation solutions $x_1$ and $x_2$. Use the formula for solving the quadratic equation: \begin{align*} D &= B^2-4ac \newline x_1 &= \frac{-b + \sqrt{D}}{2a} \newline x_2 &= \frac{-b - \sqrt{D}}{2a} \end{align*} Example:

Input: A = 1, B = 3, C = -10
Output: x1 = 2, x2 = -5

Write a program that finds the maximum of two numbers. You can use the following formula: $max(a, b) = \frac{a + b + |a - b|}{2}$. Example:

Input: a = 5, b = 7
Output: 7

Modify the program to calculate

1. the minimum of two numbers $min(a, b)$;
2. the maximum of three numbers $max(a, b, c)$;
3. the minimum of three numbers $min(a, b, c)$.

Write a program that calculates the resistance $R$ of two resistors with the resistance $R_1$ and $R_2$ assuming that

1. the resistors $R_1$ and $R_2$ are connected in series, i.e. $R = R_1 + R_2$;
2. the resistors are connected in parallel, i.e. $\frac{1}{$} = \frac{1}{R_1} + \frac{1}{R_2}$.

Example:

Input: R1 = 4, R2 = 8
Output: 1) Resistance when connected in series is 12; resistance when connected in parallel is 2.67.