Web Reference: In this section, we will discuss problems like the pumping station location that we can model and solve using single-variable calculus. First, we’ll review the calculus concepts needed for optimization, and then apply them to applications. Learn single-variable classical optimization techniques, including key definitions, optimality conditions, higher-order derivative tests, and detailed examples for engineering and mathematical applications. Exercise For the following functions, find all stationary and critical points, draw a table of variations and determine where the local minima and maxima are found. Using Excel, trace the graph of each function to confirm your results.
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