Draining a tank It takes 12 hours to drain a storage tank by opening the valve at the bottom. The depth y of fluid in the tank t hours after the valve is opened is given by the formula a. Find the rate dy/dt(m/h) at which the tank is draining at time t.b. When is the fluid level in the tank falling fastest? Slowest? What are the values of dy/dt at these times?c. Graph y and dy/dt together and discuss the behavior of y in relation to the signs and values of dt/dt.

Chapter 2 What is a theory A theory is a set of related ideas that have applications. o Think about the theory of gravity. What is gravity It is the force that holds us down because we have mass. In other words, an object that has mass has an attractive force. Therefore, the bigger the mass the stronger the force. o This theory emphasizes the relationship between two or more concepts. Scientific Method – the closest thing to instinct that we have Infants explore things – their curiosity drives them. What do they do 1. Ask a question 2. Research 3. Hypothesis 4. Choose method (observation, survey, experiment, etc.) 5. Collect data 6. Analyze