To find: the rate of change of the area with respect to radius r at 3 in.
Answer to Problem 29E
The rate of change is
Explanation of Solution
Given information:
The area of circle.
Concept used:
The area of circle with radius r is given by:
Instantaneous rate of change of any function f at any point a is given by:
Calculation:
For finding the rate of change of the area with respect to radius r at 3 in it is enough to find the instantaneous rate of change at
For the function
Hence the instantaneous rate of change is
Chapter 1 Solutions
Advanced Placement Calculus Graphical Numerical Algebraic Sixth Edition High School Binding Copyright 2020
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