Question

1 Submit 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 if other work was adapted. You may not simply copy or modify an existing application and/or solution.

3. Use APA style to cite any references (websites. books, journals. etc. .) that are used to inspire your problems (and/or solutions).

4 These real-world applications should be related to current events and should clearly demonstrate concepts in covered in our Calculus I

Answer 1

Calculus I concepts can be applied to real-world problems such as modeling population growth and optimizing resource allocation. These applications can be seen in areas like ecology, economics, and engineering.

Step-by-step explanation:

One real-world application that requires concepts in Calculus I is modeling population growth. Calculus can be used to analyze the rate of change of a population over time, determine the maximum population size, and predict future population trends. This can be applied to various fields such as ecology, economics, and public health.

For example, in ecology, calculus can be used to model the growth of a population of organisms. The rate of change of the population can be represented by a differential equation, and integrating this equation can provide insights into the population's growth and stability.

Another real-world application is optimizing resource allocation. Calculus can be used to determine the optimal allocation of resources in a system by maximizing or minimizing certain quantities. This can be applied to areas such as engineering, finance, and operations research.

For instance, in engineering, calculus can be used to optimize the design of structures or systems. By analyzing the rate of change of certain variables and applying optimization techniques, engineers can find the best configuration or parameters for their designs.