Project: Real-World Application in Calculus I (related to Science, Technology, Engineering. and/or Mathematics)
1. Submit one real-world application and the complete solution that each requires concepts in Calculus I in order to solve.
2. The real-world application and its solution must be original (your own work) and/or cited (APA) if other work was adapted/used. You may not simply copy or modify an existing application and/or solution.
Note: Textbook word problems are NOT an acceptable applied project.
3. Use APA style to cite any references (websites. books. journals, etc...) that are used to inspire your problems (and/or solutions); and the body of the project paper must be in accordance with APA.
You may find the following helpful in formatting per APA
4. These real-world applications should be related to current events and should clearly demonstrate concepts in covered in our Calculus I.
Example
Suppose you are a civil engineer. In 1919, the world's longest cantilever bridge (Pont de Quebec) was finally completed after several failed attempts.
The center cantilever span of 1800 feet remains the longest cantilevered bridge span in the world. Suppose the Canadian National Railway wants you to describe the following key physical traits of the bridge (curvature, shear force, height, and slope of the bridge span).
(a) If x represents the position along the cantilever bridge span (with x = 0 being the left-hand endpoint of the span), match the calculus expression with the appropriate physical interpretation of the cantilever bridge span.
i. w(x) A. The curvature of the bridge span (at x).
ii. w'(x) B. The shear force of the bridge span (at x).
iii. w''(x) C. The height of the bridge span (at x).
iV. w'''(x) D. The slope of the bridge span (at x).
(b) Describe each of the physical interpretations in your own words and construct figures to illustrate your reasoning.
Construction of a cantilever bridge; one cantilever arm with another cantilever arm projecting in the opposite direction, forming a balanced cantilever.