28.1k views
4 votes
Consider the following problem. A bicyclist is riding on a path modeled by the function f(x) = 0.03(8x − x^2), where x and f(x) are measured in miles. Find the rate of change of elevation at x = 1. If the problem seems to require calculus, use a graphical or numerical approach to estimate the solution.

Consider the following problem. A bicyclist is riding on a path modeled by the function-example-1
User Sazzad
by
8.6k points

1 Answer

5 votes
Answer:

The rate of change of elevation is 0.18

Step-by-step explanation:

Given the function:


f(x)=0.03(8x-x^2)

To find the rate of change, we take the derivative of f(x)


f^(\prime)(x)=0.03(8-2x)

At the point x = 1, we have:


\begin{gathered} f^(\prime)(1)=0.03(8-2) \\ =0.03(6)=0.18 \end{gathered}

The rate of change of elevation is 0.18

User Kasztelan
by
8.5k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories