Web Reference: Nov 16, 2022 · Here is a set of practice problems to accompany the Optimization section of the Applications of Derivatives chapter of the notes for Paul Dawkins Calculus I course at Lamar University. In the following example, we look at constructing a box of least surface area with a prescribed volume. It is not difficult to show that for a closed-top box, by symmetry, among all boxes with a specified volume, a cube will have the smallest surface area. This page contains a collection of Calculus 1 optimization word problems with real-world applications and complete step-by-step solutions. Topics include maximum area, minimum distance, profit maximization, box volume, rectangles under curves, and cone optimization using derivatives.
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