To find : the average rate of change of the function in terms of
Answer to Problem 30E
The average rate of change of the function in terms of
The average rate of change as
Explanation of Solution
Given information:
Formula used:
Average rate of change =
Calculation:
Finding an expression for
Substituting the above in formula to find the average rate of change and simplifying further
Finding the value of the limit by substituting 0 for
Finding the rate of change when
Finding
Equation of tangent line at
- Distributing 27 in right side of equation
- Adding 37 on both sides
Graph:
Interpretation:
The rate of change of the function
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Chapter 2 Solutions
Modeling the Dynamics of Life: Calculus and Probability for Life Scientists
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