Let's go through the questions visible in the image one by one.

Task 10:

• Situation: A car accelerates from rest. In the first 10 seconds, its speed increases uniformly, then between 10 and 20 seconds, the speed increases less strongly, after which it remains constant.
• Questions:
  • a) Sketch a possible graph of velocity $v(t)$.
  • b) Investigate the sign of $v'(t)$ (the derivative of the velocity).
  • c) Interpret the given statements $v(2) = 3$, $\frac{v(15) - v(12)}{15 - 12} = 1.2$, and $v'(15) = 1$ in the context of the problem.

Task 11:

• Situation: The function $f(x)$ and a point $P$ on the graph $G_f$ of $f$ are given. Determine the equation of the tangent to $G_f$ at $P$, and calculate the slope angle.
• Questions:
  • a) $f(x) = \sin(x) + x^2$; $P(0 | f(0))$
  • b) $f(x) = x^2 - 4x + 5$; $P(3 | f(3))$
  • c) $f(x) = 2 \cdot \cos(x) - x$; $P\left(\frac{\pi}{2} \middle| f\left(\frac{\pi}{2}\right)\right)$

Task 12:

• Situation: Investigate whether the graphs of functions $f(x)$ and $g(x)$ touch at the given points.
• Questions:
  • a) $f(x) = x^3 - 3x$, $g(x) = x^2 - 2x - 1$ at $x_1 = 1$ and $x_2 = -1$.
  • b) $f(x) = 0.5x^4$, $g(x) = x^4 - 2x^2$ at $x_1 = -2$, $x_2 = 0$, and $x_3 = 2$.

Task 13:

• Situation: A 5-meter-wide canal is represented by the graph $G_f$ of a function $f(x) = ax^2 + bx$, where $a$ and $b$ are real numbers. The task is to determine values for $a$ and $b$ such that the edges of the canal in the model are represented by points $P(0 | 0)$ and $Q(5 | 0)$, and the canal forms a 30-degree angle with the ground at this point.

Would you like to work on any particular question or part of these problems in more detail? If so, I can help guide you through the steps or explain the solution.

Here are five relative questions:

1. What does the graph of a uniformly increasing speed look like?
2. How do you compute the slope of a tangent at a given point for a function?
3. What conditions must be met for two graphs to touch at a point?
4. How is the equation of a tangent related to the derivative of a function?
5. How can trigonometry be used to solve the problem involving the canal and angles?

Tip: When interpreting a velocity-time graph, the slope of the graph at any point represents the acceleration at that moment.