1. Understanding the problem: First of all, you need to understand the parameters in the topic, including the capacity of the reservoir, the speed of water inflow and the speed of water outflow. These parameters are the basis of solving the problem.
2. Modeling: According to the description of the topic, we can establish a mathematical model to describe this problem. The model is usually a function of time or water quantity.
3. Set variables: In the model, we need to set some variables to represent the unknown. For example, we can use t for time and v for water quantity.
4. Establish equations: According to the conditions of the topic, we can establish some equations to describe the problem. For example, if we know that the inflow velocity is V and the outflow velocity is U, then at any time t, the water volume V of the reservoir can be calculated by the formula V = (V-U) * T.
5. Solving the equation: With the equation, we can get the answer by solving the equation. This may require some algebraic skills, such as elimination and substitution.
6. Check the answers: Finally, we need to check whether our answers meet the requirements of the topic. For example, the title requires us to keep the water level of the reservoir within a certain range of water, then our answer needs to be within this range.
Generally speaking, solving the mathematical reservoir problem requires us to understand and analyze the problem, establish and solve the mathematical model, and check and verify the answer. This is a typical mathematical thinking process, and it is also a method that we often need to use when learning and applying mathematics.