Problem 1. A cylindrical steel storage tank is being built to store beer after the brewing process. The tank will have a height of 10 feet and a diameter of 4 feet, but as brewed beer is added to the tank and starts to cools down, the steel will first expand and then contract. Is the overall volume in the tank more sensitive to fluctuations in the height or in the diameter of the tank? Problem 2. Approximate tion f(x, y) = 1 1-xy 1 1 - (0.5001) (0.4997) using a linear approximation to the func- What is the maximum error in your approximation?