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Math 21A, Fall 2024 - Week 10 Worksheet December 3, 2024 1. Your iron-works company is contracted to design and build a 500 fts square-base, open-top, rectangular steel holding tank for a paper company. The tank is to be made by welding thin stainless steel plates together along their edges. As the production engineer, your job is to find dimensions for the base and height that will make the tank weigh as little as possible. (a) How would you compute the weight of the tank? (b) Draw a picture of the tank in question, labeling all possible variables. (c) Write two equations that are needed to solve the problem and specify which equation should be minimized. (d) Insert the non-minimizing function into the minimizing function to eliminate all but one variable. What is the domain of this function