Peaks and troughs are terms used to describe the highest and lowest points of a wave or cycle. In a business or economic context, peaks refer to the highest points of growth or expansion, while troughs represent the lowest points of decline or recession. Identifying these peaks and troughs is important for analyzing trends, making forecasts, and understanding the overall performance of a system or market. **

Ark dinos need many feeding troughs because they have a large appetite and need a constant supply of food to stay healthy and well-fed. Having multiple feeding troughs ensures that all the dinos in a tribe have access to food, especially in large bases with many dinosaurs. It also helps to prevent any one trough from running out of food too quickly, ensuring that all dinos are consistently fed and cared for. **

Turning points are moments of change in a trend or pattern, where a shift in direction occurs. Peaks are the highest points in a trend, representing the culmination of growth or expansion, while troughs are the lowest points, representing the bottom of a decline or contraction. These points are important in analyzing trends and making predictions about future movements in various fields such as economics, business, and science. **

One can determine that the troughs are located at y = 1 by observing the graph of the function and identifying the points where the function reaches its lowest values. In this case, the lowest points on the graph correspond to the troughs, which are located at y = 1. Additionally, one can analyze the equation of the function to find the y-values where the function reaches its minimum values, which in this case is y = 1. **

To apply a new waterproofing membrane on top of an old bitumen waterproofing membrane, the surface of the old membrane should be thoroughly cleaned and prepared. Any loose debris, dirt, or old adhesive should be removed to ensure proper adhesion of the new membrane. Once the surface is clean, a primer should be applied to promote adhesion between the old and new membranes. Finally, the new waterproofing membrane can be installed according to the manufacturer's instructions, ensuring that it is properly sealed and bonded to the old membrane to provide effective waterproofing. **

To determine the extreme points and troughs of sine and cosine functions, one can use the properties of these functions. The extreme points of a sine or cosine function occur at the maximum and minimum values of the function within a given period. These can be found by taking the derivative of the function and setting it equal to zero to find the critical points. The troughs, or minimum points, occur when the function reaches its lowest value within a period. By analyzing the period and amplitude of the sine and cosine functions, one can determine the extreme points and troughs. **

A utility knife or a sharp blade is typically used to cut the waterproofing membrane. It is important to use a sharp tool to ensure clean and precise cuts, which will help in achieving a proper seal and prevent water leakage. Care should be taken to avoid damaging the underlying surface while cutting the membrane. **

Ideally, the waterproofing membrane should be applied in dry weather to ensure proper adhesion and effectiveness. If the membrane is applied and then it rains before it has fully cured, it can compromise its ability to create a watertight seal. Water exposure during the curing process can lead to delamination, reduced adhesion, and potential leaks. Therefore, it is best to apply the waterproofing membrane when there is no rain in the forecast and allow it to fully cure before any water exposure. **