Answer the following and Create Written Report of the Following Objective:

Objective: Create a project that demonstrates a thorough understanding of one particular aspect of Calculus. Ideally, this project will extend the knowledge you have acquired during the course. Format: The format of this project is flexible; choose a format that best allows you to demonstrate your understanding of your chosen topic. Options include (but are not limited to): . Written report with graphs and diagrams Possible Topics: There is a wide range of topics that you may choose from. The options shown below are only a partial list of possible topics: . Build a model to accompany an interesting volume/surface area optimization problem . Research how derivatives/calculus are applied in chemistry, physics, biology, medicine, engineering, economics, environmental studies, or any other scientific discipline of interest to you . Analyze a specific scientific equation or formula; analysis should include some or all of the following: . Differentiation to determine rates and/or extreme values . Full analysis of the function and its derivative(s) in order to sketch its graph How this equation/formula was created (some background/history) . Research some aspect of the history/creation of calculus (consider researching the work of either Newton or Leibniz) . Do an independent study on some topic that was not covered in this course: o Derivatives of logarithmic functions and their application(s) o Integration and its application(s)