![]() Tikhomirov, Stories about Maxima and Minima translated from the Russian by Abe Shenitzer, American Mathematical Society/Mathematical Association of America, 1990. Types of Optimization Problems Some problems have constraints and some do not. Nahin, When Least is Best: How Mathematicians Discovered Many Clever Ways to Make Things as Small (or as Large) as Possible, Princeton University Press, 2004. Motion problems: finding the maximum acceleration Math > AP/College Calculus AB Optimization Google Classroom An open-topped glass aquarium with a square base is designed to hold 62.5 cubic feet of water. Solving practical problems that ask us to maximize or minimize a quantity are typically called optimization problems in calculus. Galileo and the Brachistochrone Problem. ![]() Recall that in order to use this method the interval of possible values of the independent variable in the function we are optimizing, let’s call it I I, must have finite endpoints. This is the method used in the first example above. Experience will show you that MOST optimization problems will begin with two equations. Method 1 : Use the method used in Finding Absolute Extrema.
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