Group Project – Provide a word document no more than 2 pages.
Problem
Identify optimum walking speed to recover patients in the shortest time frame – using calculus we can find an optimum speed for a patient to walk such that they recover earliest and not harmful to their overall recovery. We can use applied knowledge of calculus here.
Instructions
1.Read the above problem.
2.Draw a picture. Label any part that may be important to the problem.
3.Introduce variables. List every relation in the picture and in the problem as
an equation or algebraic expression, and identify the unknown variable.
4.Write an equation for the unknown quantity. If you can, express the unknown
as a function of a single variable or in two equations in two unknowns. This
may require considerable manipulation.
5.Test the critical points and endpoints in the domain of the unknown. Use
what you know about the shape of the function’s graph. Use the first and
second derivatives to identify and classify the function’s critical points.
6. Provide a wrap-up to conclude the problem.
